the news hour: estimating the value of local television news · 9/15/2014 · lnlloo 21 3.4 75.6...
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Introduction and Motivation Model Estimation Estimation Results Conclusions
The News Hour: Estimating the Value of LocalTelevision News
Matthew J. Bakerand
Lisa M. GeorgeHunter College and the Graduate Center, CUNY
September 29, 2014
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Overview
Background on Local TV News
A regulatory interest in “localism” in media and whether localinterests are being served by media.
Like other sources of local information, local television news isin decline. Declining, aging viewership.
What if it disappeared?
Basic question: is there too little local news?
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Overview
More pointedly
How does actual provision of local news compare with optimal
provision of local news?
Many-faceted question: Perspectives of viewers, advertisers,and stations are all important.
Value of variety to consumers versus duplication of effort alsoimportant.
Interesting aspects of TV market:
Two-sidedFixed broadcasting/ad time - if a station doesn’t provide localnews, what does it provide instead?
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Overview
Analysis preview
For a welfare analysis, we need:
Model of viewership.Model of advertising demand.Model of station competition for viewership and advertisingrevenue.Illustrate how:
Viewership, broadcast type, and ad revenues change together.Decisions relate to viewers & advertisers’ surplus.Counterfactual profits to stations.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Analytical Ideas and Methods
Local TV Markets
Essential features:
Competition among long-established rivals.
Through broadcasting decisions, stations compete for viewers,and resulting advertising revenues (90% of station revenues).
Advertising minutes don’t vary much.
Point of departure: Stations make programming lineup choicesaccording to a complete-information noncooperative game.Stations choose programming lineups in competition with rivals.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Analytical Ideas and Methods
Literature
Literature on media, advertising, and variety:
Berry and Waldfogel (1999), Wilbur (2008), Crawford (2003),Mooney (2009).
No complete welfare analysis from perspective of mediaproviders, consumers, and advertisers.
Econometrics of strategic interaction:
Bajari, Hong and Ryan (2010), Ciliberto and Tamer (2009) -game-theory built into estimation techniques.
Extensions: inclusion of about payoffs, not just observedactions. Product diversity decision, not just modeling an entrygame.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Data Description and Overview
Television ratings and advertising revenues:
Weekdays for 4 weeks in Feb. 2010: “all” viewership shares inhalf hour blocks, 5:00 to 8:00, via Nielsen Media Research.
Station characteristics from Warren Communication Television
and Cable Factbook
Program characteristics: Nielsen, Kantar, IMDB.
Most stations more or less follow a fixed daily schedule through thetime period.We therefore focus on average viewership and advertising revenuein a given time slot as a function of programming type.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Data Description and Overview
Viewership
A simple approach that gives a notion of differentiation andsubstitutability across programming types:
Viewers chooses not to watch, or type of programming:1 Local news2 Other local/network programming3 National news4 Other cable programming
Then choose a broadcast of the given type.
Nested Multinomial Logit (NML).
LOTS of other alternatives, but MNL captures nature ofcompetition nicely.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Data Description and Overview
Competitive aspects of station choices
Viewership decision tree reduces stations’ options to two typesof programming - “local news” or “other local.”
National news - a “fixed” decision - local stations arecontractually obligated to carry it at specified times.
Cable stations don’t make programming decisions withcapturing viewers in a particular market in mind, so theirdecisions are assumed exogenous to a given market.
Really, local stations are choosing an early evening sequenceof programs.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Data Description and Overview
Picturing the game(s)
c c c c c c
n n n n n n
n o l o l o
l n o l o o
l o o n l o
5:00-5:30
5:30-6:00
6:00-6:30
6:30-7:00
7:00-7:30
7:30-8:00
Channel 5
Channel 4
Channel 3
Channel 2
Channel 1
Figure: A depiction of the scheduling game. Local stations 1,2, and 3 choosesequences of l ’s and o’s (Gray nodes denote fixed programming decisions)
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary statistics
Station type and market size
Small Markets < 2.5 mil. (N=39)Station Type
Local Stations (n=39) 7.4 1.4 5.0 12.0Cable Stations (n=39) 64.9 9.8 51.0 102.0Total Stations (n=39) 72.3 10.0 59.0 109.0
Mid-size Markets 2.5 to 5 mil. (N=31)Station Type
Local Stations 9.5 1.7 6.0 13.0Cable Stations 89.5 16.9 55.0 110.0Total Stations 99.0 17.6 63.0 118.0
Large Markets > 5 mil. (N=31)Station Type
Local Stations 13.6 4.0 7.0 22.0Cable Stations 95.9 8.0 81.0 114.0Total Stations 109.5 8.8 92.0 125.0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary statistics
Market-level statistics (by Station)
cases Mean N Mean NShare Price-per-Second Price-per-Second
5:00 - Local news 0.0019 340 $9.80 317Natl. news 0.0001 133 $4.58 3Other Local 0.0003 636 $5.21 303Other cable 0.0001 8,174 0
5:30 - Local news 0.0017 187 $9.86 168Natl. news 0.0012 325 $11.42 156Other Local 0.0003 597 $5.22 299Other cable 0.0001 8,174 0
6:00 - Local news 0.0023 356 $12.35 333Natl. news 0.0001 206 $15.44 4Other Local 0.0004 533 $8.14 286Other cable 0.0001 8,188 0
6:30 - Local news 0.0008 76 $11.81 56Natl. news 0.0012 384 $14.60 174Other Local 0.0008 635 $10.35 393Other cable 0.0001 8,188 0
7:00 - Local news 0.0009 54 $8.39 37Natl. news 0.0002 120 $16.53 7Other Local 0.0011 879 $21.66 579Other cable 0.0001 8,230 0
7:30 - Local news 0.0002 19 $14.09 5Natl. news 0.0001 97 0Other Local 0.0011 937 $22.37 618Other cable 0.0001 8,230 0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary statistics
Aggregate programming shares by type and timing
Time Slot MeanLocal news Nat’l news Other local Other cable Total
5:00-5:30 0.0064 0.0001 0.0018 0.0077 0.01615:30-6:00 0.0032 0.0037 0.0020 0.0081 0.01706:00-6:30 0.0081 0.0003 0.0019 0.0085 0.01886:30-7:00 0.0006 0.0044 0.0052 0.0091 0.01937:00-7:30 0.0005 0.0003 0.0099 0.0104 0.02107:30-8:00 0.0000 0.0001 0.0105 0.0109 0.0215Total 0.0031 0.0015 0.0052 0.0091 0.0190
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary statistics
Broadcasts by programming type
Time Slot MeanLocal news Freq Nat’l news Freq Other local Freq
5:00-5:30 3.4 34.9% 1.3 14.6% 6.3 62.7%5:30-6:00 1.9 19.0% 3.2 34.9% 5.9 58.2%6:00-6:30 3.5 37.1% 2.0 22.0% 5.3 51.0%6:30-7:00 0.8 7.1% 3.8 40.8% 6.3 62.2%7:00-7:30 0.5 5.6% 1.2 12.2% 8.7 87.5%7:30-8:00 0.2 1.9% 1.0 9.5% 9.3 93.9%Total 1.7 17.6% 2.1 22.4% 7.0 69.2%
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary statistics
Most common lineups
Programming lineups No. Col % Cum %
oooooo 213 34.2 34.2lnlooo 106 17.0 51.2lllnoo 96 15.4 66.6oolnoo 35 5.6 72.2lnlloo 21 3.4 75.6lnoooo 21 3.4 79.0lllnlo 17 2.7 81.7lloooo 16 2.6 84.3lllooo 15 2.4 86.7oooloo 10 1.6 88.3other 73 11.7 100.0Total 623 100.0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary statistics
0
200
400
600
0 2 4 6
Local newsNational NewsOther Local
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
A preview
A first question: how and why might the interests of stations,viewers, and advertisers diverge?
Viewers that prefer one type of programming are not asvaluable to advertisers.
“Business stealing” - fixed number of viewers split betweenmultiple stations - less product diversity.
“Dynamic business stealing” - desire to broadcast news first inthe evening.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
A preview
What could go wrong in pictures
Station b → local news other
Station a ↓
local news 2 2.72 6
other 6 52.7 5
local news other
local news 0.04 0.050.04 0.09
other 0.09 0.060.05 0.06
local news other
local news 1 1.351 3
other 3 2.51.35 2.5
Station Payoffs ($ sec.)
Advertisers’ Surplus ($ sec.)
Viewership shares (%)
Hypothetical two-station game.
Dominant strategy Nash eq - both stations broadcast other.Advertisers’ interests are aligned with broadcasters, more or less.Viewers would prefer one station to broadcast local news.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Setup
Model definitions
Some definitions:
Geographic identifier: m.
Time identifier t (time slot).
Market description:
Vm set of all stations (cable and local) in a market: viewershipshares simt and covariates Ximt , i ∈ Vm.Ad. revenue rjmt for j ∈ Lm ⊆ Vm local stations.Broadcast decisions for bjt ∈ Dmt ⊆ Lm, and broadcastsbimt ∈ Vm \ Dmt for all stations.
Also, let bjm = bjmtTt=1 denote a station’s broadcast menu -
sequence of broadcast decisions over the course of the night.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Setup
Some additional notation
Let the set of broadcast menus available firm j in m be Bjm. As wespecify, this set will typically have between 25 = 32 and 26 = 64members, depending on whether or not a broadcast is fixed.Also, let Bm = B1m × B2m × . . .BLm denote the set of possiblebroadcast menus across the local channels for the night. A verylarge set!
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Setup
Overview
Components of the model:
Viewership: vjt = vjt(bj , b−j , εj , ε−j ,Xj ,X−j , θv ) or for short:vjt = vjt(bj , b−j). Viewership of j at t depends upon chosenmenus of all stations.
Early evening advertising revenues:Rj(bj , b−j , θ) =
∑6t=1 rjt(vjt(bj , b−j , θv ), bj , ε
pj ,X
pj , θp)
bj ∈ Bj chosen to maximize revenues Rj given actions b−j ofother stations.
Competition flows through viewership.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Viewership model
Following Berry(1994), suppose that viewer n gets utility:
unjmtb = αbj + δvjmt + ζjmt(µbj ) + (1− µbj )ǫnjmt , bj ∈ Sb
ζ and ǫ are related as described in Cardell (1987). We specify that:
δvjmt = Xjtβ + ωvj + ωv
mt + ǫvjmt
Berry (1994) uses the error structure to get a share form MNLwhich depends upon observed and unobserved components.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
The MNL Viewership Model
Integrating out extreme-value RVs results in (dropping m, t for thetime being):
sj =e
αbj+δv
j
1−µbj
∑
k∈Sbje
αbk+δv
k1−µbk
∑
k∈Sbje
αbk+δv
k
1−µbk
∑
b∈B
∑
l∈Sbe
αbl+δv
l1−µbl
Non-viewership share utility is normalized to zero so:
s0 =1
∑
b∈B
∑
l∈Sbe
αbl+δv
l1−µbl
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Linear share form
Forming ln[sjmt
s0mt
]
and doing a little algebra gives:
ln sjmt − ln s0mt = µbj ln sGjmt + Xjtβ
v + ωvj + ωv
mt + ǫvjmt
where sGjmt =sjmt∑
k∈Sbjskmt
is j ’s within-group share. A linear
estimating equation (with endogeneity). Alternatively:
ln sjmt − ln s0mt = µbj ln sGjmt + Xjtβ
v + evjmt
where evm ∼ N(0,Ωv ). See Baltagi(2008).
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Practical aspects of viewership
Explanatory variables:
Time-Market random effect, station random effect.
Dummies and nests for programming type (local news, otherlocal, national news, other cable).
Dummies for sequenced news types (i.e., broadcasting localnews after previous local news broadcast).
Lagged shares and interactions (“lead-in” effects).
Cumulative news totals in market up until the time slot(“breaking news” effect).
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Role of explanatory variables
Collectively, the viewership model makes the scheduling problemquite rich:
Stations have to think about lead-in effects, in addition towhat other stations are broadcasting simultaneously.
Stations have to think about cumulative news throughout thebroadcast time.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Why NMNL? Part 1
Expected utility:
EU = ln
∑
b∈B
∑
i∈Sb
eui
1−µb
1−µb
Suppose we just had two types of goods, which each gave equalutility. Then:
EU = ln[
N1−µ11 eu1 + N
1−µ22 eu2
]
Suppose we have N = N1 + N2 channels and want to maximizeexpected utility. We require:
(1− µ1)N−µ11 eu1 − (1− µ2)N
−µ22 eu2 = 0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Why MNL? Part 1 cont.
Using the above, we can compute:
∂N∗
1
∂u1=
N∗
1N∗
2
µ1N2 + µ2N1
and also get elasticity:
E1u1 = u1N − N∗
1
Nµ1 + N∗
1 (µ2 − µ1)
This is the elasticity of optimal variety wrt “quality” of a good.Note role of µ1 and µ1 relative to µ2. At symmetric solution:
u
µ1 + µ2
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Viewership
Why NMNL? Part 2
Using observed shares, solve for mean utility:
e
ui1−µbi =
si
s0
(sg
s0
)µbi
1−µbi
Plug this back into expected utility and simplify:
EU = ln
∑
b∈B
∑
i∈Sb
si
s0
(sg
s0
)µbi
1−µbi
= − ln s0
Max utility from viewing = min share of null activity, or
maximal viewing = maximal utility.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Advertising Revenue
Advertising Revenue model (Berry and Waldfogel, 1999)
Advertisers’ demand for viewer as a function of the number ofviewers:
p = Kvη−1
If that is the price-per-viewer per unit time, we have:
pv = r = Kvη
as price per unit time. Integrate to get advertisers’ surplus:
ATS =K
ηvη
Advertisers pay r , so net surplus as ATS − r :
AS =K
ηvη − rp =
(1
η− 1
)
Kvη
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Advertising Revenue
Estimating revenue equation
We use r = pv , with allowance for market, time, and broadcasttype idiosyncracies:
rjmtb = Kjmtbvηb
jmtb
We specify Kjmtb as:
lnKjmtb = αrb + ωr
j + ωrmt + εrjmt
where εpjmt is an idiosyncratic error term. Estimating equation:
ln rjmtb = ηb ln vjmtb + αrb + ωr
j + ωrmt + εrjmt
︸ ︷︷ ︸
erjmt
Use erm ∼ N(0,Ωp), as specified in Baltagi (2008).
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Advertising Revenue
Practical aspects of estimation
Included variables:
Station and Market-time random effects.
programming type dummy
Interaction between viewers and programming type.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
The problem(s) with estimation
Seemingly a straightforward basis for a simultaneous equationsmodel. For each observation:
Viewership equation,
Revenue equation.
Likelihood (market-level):
L(b,X , θ) = fv (ǫv ; b,X , θ)|Jv (ǫ)| ×
fp(ǫp ; b,X , θ)
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Can’t just be estimated and used for counterfactuals.
Selection - we observe profit-maximizing lineups.
Cohesiveness/incompleteness - Parameters, data, and errorsdo not uniquely determine outcome.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Selection problem
Recall that:
Rj(bj , b−j , εpj , θ) =
6∑
t=1
rjt(vjt(bj , b−j , θv ), bj , εpj ,X
pj , θp)
Add a term:
Prob
(
Rj(bj , b−j , εpj , θ) ≥ Rj(b
′
j , b−j , εp′
j , θ) ∀b′j ∈ Bj
)
to the likelihood. Some of εpj′ can be calculated from model.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Sketch of cohesiveness problem
Example: (based on Ciliberto and Tamer (2010))
Two-station, one time slot market where b1 = o, b2 = l isobserved.
Mean revenues are α if stations have different broadcasts,α− δ if same broadcast.
Profit maximization requires: α ≥ α− δ + ǫi , or δ > ǫi .
Is probability of the market outcome F (δ)2? No!.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Expanding on the example
The previously described model implies:
S1↓,S2→ l o
l α− δ + ǫ1, α− δ + ǫ2 α,α
o α,α α− δ + ǫ1, α− δ + ǫ2
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Expanding on the example
The previously described model implies:
S1↓,S2→ l o
l α− δ + ǫ1, α− δ + ǫ2 α,α
o α,α α− δ + ǫ1, α− δ + ǫ2
While ǫ1, ǫ2 < δ, observed outcome is not completely identified bythe model. We need to include an equilibrium selection mechanism
as well. Simplest possibility: mechanism is P(o, l) = 12 ,P(l , o) =
12
and the likelihood selection 12F (δ)
2. See Bajari, Hong, and Ryan(2011).
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Tackling cohesiveness
Tack on a term to the likelihood:
Prob
(
b|Rj(bj , b−j , εpj , θ) ≥ Rj(b
′
j , b−j , εp′
j , θ) ∀b′j ∈ Bj , j ∈ Lj
)
The probability b is the outcome, given that it is a Nashequilibrium.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Complete likelihood
Contribution of a market to the likelihood L(b,X , θ) =
fv (ǫv ; b,X , θ)|Jv (ǫ)| ×
fp(ǫp ; b,X , θ) ×
Prob
(
Rj(bj , b−j , εpj , θ) ≥ Rj(b
′
j , b−j , εp′
j , θ) ∀b′j ∈ Bj
)
×
Prob
(
b|Rj(bj , b−j , εpj , θ) ≥ Rj(b
′
j , b−j , εp′
j , θ) ∀b′j ∈ Bj , j ∈ Lj
)
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Actual estimation
Computational problems
Difficulties in actual estimation.
Simulation deals with difficult integrations.
Calculating Nash equilibria for games with large amounts ofplayers with a large dimensional strategy set istime-consuming.
Counterfactual shares themselves are time-consuming tocalculate.
Simulation-based estimator is good, but introducesdiscontinuities, doubts about standard errors.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Actual estimation
Estimation overview
Use techniques developed in Ackerberg (2010).
A way of using importance sampling to reduce burden.
Idea: separate model into hard (nonlinear, computationallyintensive parts) and easy parts.
Get a reasonable approximate model, simulate the hard partsand solve once or a small number of times.
Re-weight the solutions in estimation using the easy parts.
Techniques in Chernozhukov and Hong (2003).
QBE/LTE estimator. Essentially, avoid bootstrap andmaximizing likelihood directly.
If interested, Baker (2014) describes the method and aStata/Mata package for implementation, and some wrappers.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Actual estimation
Estimation in a nutshell
1 Estimate the simple linear model with no selection/cohesioneffects.
2 Draw error terms subject to selection constraint.
3 For each market and draw, solve for additional Nashequilibrium.
4 Treat draws as an Ackerberg-Keane-Wolpin importancesample, estimate via MCMC simulation (Baker, 2014).
Each step has a few nuances. Errors are hard to draw. Games canonly be approximately solved (MCMC method).
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Actual estimation
In equations, roughly
Log-likelihood contribution of a market: ln L =
ln fp(ǫp ; b,X , θp) + ln fv(ǫv ; b,X , θv )|+ ln |Jv (ǫ)|+
ln
1
S
S∑
s=1
1
NE(s)Prob
(
R(s)j ≥ R
′(s)j
) h(R(s)j , R
′(s)j , θ)
g(R(s)j , R
′(s)j , θ0)
Idea (from AKW) is to estimate a preliminary model, and thendraw an importance sample using this model. Estimation reweightsthe sample solutions.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Model estimates
Results
Equationby-equation Maximum-Likelihood Complete Model
ViewershipMu: local news 0.345 (0.294) 0.312 (0.00415)Mu: other local 0.313 (0.280) 0.259 (0.00282)Mu: national news 0.169 (0.205) 0.157 (0.00161)Mu: other cable 0.881 (0.469) 1.000 .Local news? -1.675 (0.647) -3.098 (0.0164)Local other? -2.145 (0.732) -3.464 (0.0158)National news? -3.727 (0.965) -4.673 (0.00796)loc. news(t),loc. news(t-1) -0.171 (0.207) -0.164 (0.00742)loc. news(t),nat. news(t-1) -0.0258 (0.0803) -0.142 (0.0113)nat. news(t),loc. news(t-1) 1.719 (0.656) 1.311 (0.0130)nat. news(t),nat. news(t-1) 0.0235 (0.0767) 0.0944 (0.00786)share(t-1) 14.54 (1.906) 10.58 (0.324)shares: loc. news(t),loc. news(t-1) 34.90 (2.954) 27.60 (1.021)shares: loc. news(t),nat. news(t-1) 10.87 (1.649) 12.33 (0.753)shares: nat. news(t),loc. news(t-1) 1.772 (0.666) 3.579 (0.447)shares: nat. news(t),nat. news(t-1) 111.4 (5.278) 86.01 (4.297)Cum. share local news -14.06 (1.875) -8.448 (0.269)Cum. share nat. news -2.282 (0.755) -2.392 (0.259)constant -4.368 (1.045) -3.081 (0.0168)
RE vViewership: log(sd) station RE -1.130 (0.532) -0.807 (0.00900)Viewership: log(sd) market RE 0.190 (0.218) 0.334 (0.0218)Viewership: log(sd) model -1.791 (0.669) -1.876 (0.00362)
PriceLocal news viewer elast. 0.575 (0.379) 0.521 (0.0207)Other viewer elast. 0.607 (0.389) 0.509 (0.00580)Nat. news viewer elast. 0.215 (0.232) 0.153 (0.00352)Local news? -3.503 (0.936) -3.628 (0.167)Nat. news? -3.616 (0.951) -3.332 (0.0318)constant 0.331 (0.288) 0.0868 (0.0265)
Re pRevenue: log(sd) station RE -0.785 (0.443) 0.00543 (0.0416)Revenue: log(sd) market RE -0.651 (0.403) -0.932 (0.0417)Revenue: log(sd) model -1.241 (0.557) -1.350 (0.00852)
N
Total obs. 102720 102720MarketsGames 55698 55698PlayersLocal news 102720 102720Other local 102720 102720Nat’l news 102720 102720
Standard errors in parentheses
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Model estimates
Some highlights
Other local and local news don’t seem profoundly differentlydifferentiated.
Time, day, affiliate dummies (not shown) are about what onewould expect.
Other points easier to understand via simulation.
Inclusion of selection effects seems to make a big difference inparameters.
Have not yet fully implemented estimation procedure.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Welfare simulations
Questions:
How closely do broadcasting decisions coincide with whatviewers want?
How closely do broadcasting decisions coincide with whatadvertisers want?
The interesting aspects of two-sided markets are really all aboutthe potential for divergence of these interests.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Calculate “observed” error terms using model estimates.
Draw values for “unobserved” errors consistent with modelestimates, selection, and incompleteness.
For each simulation run:1 Action profiles maximizing stations’ profits.2 Actions profiles maximizing advertisers’ surplus.3 Action profiles maximizing viewership.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Market-level statistics (by Station)
cases Mean N Mean NShare Price-per-Second Price-per-Second
5:00 - Local news 0.0019 340 $9.80 317Natl. news 0.0001 133 $4.58 3Other Local 0.0003 636 $5.21 303Other cable 0.0001 8,174 0
5:30 - Local news 0.0017 187 $9.86 168Natl. news 0.0012 325 $11.42 156Other Local 0.0003 597 $5.22 299Other cable 0.0001 8,174 0
6:00 - Local news 0.0023 356 $12.35 333Natl. news 0.0001 206 $15.44 4Other Local 0.0004 533 $8.14 286Other cable 0.0001 8,188 0
6:30 - Local news 0.0008 76 $11.81 56Natl. news 0.0012 384 $14.60 174Other Local 0.0008 635 $10.35 393Other cable 0.0001 8,188 0
7:00 - Local news 0.0009 54 $8.39 37Natl. news 0.0002 120 $16.53 7Other Local 0.0011 879 $21.66 579Other cable 0.0001 8,230 0
7:30 - Local news 0.0002 19 $14.09 5Natl. news 0.0001 97 0Other Local 0.0011 937 $22.37 618Other cable 0.0001 8,230 0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Shares (viewer optimum)
cases Mean N Mean NShare Price-per-Second Price-per-Second
5:00 - Local news 0.0013 405 $7.35 381Natl. news 0.0001 133 $4.58 3Other Local 0.0005 519 $6.40 186Other cable 0.0001 8,174 0
5:30 - Local news 0.0009 272 $6.33 252Natl. news 0.0012 325 $11.44 156Other Local 0.0005 462 $6.72 164Other cable 0.0001 8,174 0
6:00 - Local news 0.0020 369 $10.20 343Natl. news 0.0001 206 $15.44 4Other Local 0.0005 470 $8.53 223Other cable 0.0001 8,188 0
6:30 - Local news 0.0015 176 $10.24 156Natl. news 0.0012 384 $14.70 174Other Local 0.0008 492 $9.74 250Other cable 0.0001 8,188 0
7:00 - Local news 0.0024 198 $15.08 181Natl. news 0.0002 120 $16.52 7Other Local 0.0011 689 $21.72 389Other cable 0.0001 8,230 0
7:30 - Local news 0.0025 224 $14.19 210Natl. news 0.0001 97 0Other Local 0.0011 668 $24.91 349Other cable 0.0001 8,230 0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Shares (station optimum)
cases Mean N Mean NShare Price-per-Second Price-per-Second
5:00 - Local news 0.0008 331 $8.16 307Natl. news 0.0001 133 $4.58 3Other Local 0.0008 645 $8.38 312Other cable 0.0001 8,174 0
5:30 - Local news 0.0009 239 $6.85 220Natl. news 0.0007 325 $10.78 156Other Local 0.0007 545 $8.72 246Other cable 0.0001 8,174 0
6:00 - Local news 0.0017 328 $12.25 302Natl. news 0.0001 206 $14.80 4Other Local 0.0007 561 $9.89 314Other cable 0.0001 8,188 0
6:30 - Local news 0.0014 160 $11.47 140Natl. news 0.0011 384 $14.37 174Other Local 0.0009 551 $11.84 309Other cable 0.0001 8,188 0
7:00 - Local news 0.0018 191 $19.86 174Natl. news 0.0002 120 $16.26 7Other Local 0.0013 742 $23.91 442Other cable 0.0001 8,230 0
7:30 - Local news 0.0004 24 $9.74 10Natl. news 0.0001 97 0Other Local 0.0012 932 $22.74 613Other cable 0.0001 8,230 0
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Total Shares
Time Slot MeanLocal news Nat’l news Other local Other cable Total
5:00-5:30 0.0064 0.0001 0.0018 0.0077 0.01615:30-6:00 0.0032 0.0037 0.0020 0.0081 0.01706:00-6:30 0.0081 0.0003 0.0019 0.0085 0.01886:30-7:00 0.0006 0.0044 0.0052 0.0091 0.01937:00-7:30 0.0005 0.0003 0.0099 0.0104 0.02107:30-8:00 0.0000 0.0001 0.0105 0.0109 0.0215Total 0.0031 0.0015 0.0052 0.0091 0.0190
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Total Shares (viewer optimum)
Time Slot MeanLocal news Nat’l news Other local Other cable Total
5:00-5:30 0.0057 0.0001 0.0028 0.0077 0.01625:30-6:00 0.0029 0.0037 0.0024 0.0082 0.01746:00-6:30 0.0076 0.0003 0.0023 0.0086 0.01906:30-7:00 0.0032 0.0046 0.0040 0.0092 0.02097:00-7:30 0.0055 0.0003 0.0074 0.0105 0.02387:30-8:00 0.0062 0.0001 0.0074 0.0110 0.0251Total 0.0052 0.0015 0.0044 0.0092 0.0204
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Time Slot MeanLocal news Nat’l news Other local Other cable Total
5:00-5:30 0.0027 0.0001 0.0050 0.0077 0.01555:30-6:00 0.0020 0.0022 0.0035 0.0082 0.01606:00-6:30 0.0055 0.0003 0.0041 0.0086 0.01856:30-7:00 0.0022 0.0043 0.0049 0.0093 0.02087:00-7:30 0.0035 0.0003 0.0096 0.0107 0.02407:30-8:00 0.0001 0.0001 0.0109 0.0112 0.0223Total 0.0027 0.0012 0.0063 0.0093 0.0195
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Broadcasts by programming type
Time Slot MeanLocal news Freq Nat’l news Freq Other local Freq
5:00-5:30 3.4 34.9% 1.3 14.6% 6.3 62.7%5:30-6:00 1.9 19.0% 3.2 34.9% 5.9 58.2%6:00-6:30 3.5 37.1% 2.0 22.0% 5.3 51.0%6:30-7:00 0.8 7.1% 3.8 40.8% 6.3 62.2%7:00-7:30 0.5 5.6% 1.2 12.2% 8.7 87.5%7:30-8:00 0.2 1.9% 1.0 9.5% 9.3 93.9%Total 1.7 17.6% 2.1 22.4% 7.0 69.2%
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Broadcasts by programming type
Time Slot MeanLocal news Freq Nat’l news Freq Other local Freq
5:00-5:30 4.5 45.4% 1.3 14.6% 5.1 52.1%5:30-6:00 3.0 29.7% 3.2 34.9% 4.6 45.6%6:00-6:30 4.1 42.9% 2.0 22.0% 4.7 45.1%6:30-7:00 2.2 21.1% 3.8 40.8% 4.9 48.7%7:00-7:30 2.6 26.3% 1.2 12.2% 6.8 68.2%7:30-8:00 2.7 27.8% 1.0 9.5% 6.6 66.3%Total 3.2 32.2% 2.1 22.4% 5.4 54.3%
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
Broadcasts by programming type
Time Slot MeanLocal news Freq Nat’l news Freq Other local Freq
5:00-5:30 3.3 31.8% 1.3 14.6% 6.4 65.8%5:30-6:00 2.4 23.5% 3.2 34.9% 5.4 53.7%6:00-6:30 3.2 33.0% 2.0 22.0% 5.6 55.2%6:30-7:00 1.6 15.6% 3.8 40.8% 5.5 53.8%7:00-7:30 1.9 18.6% 1.2 12.2% 7.3 74.5%7:30-8:00 0.2 2.6% 1.0 9.5% 9.2 93.1%Total 2.1 20.8% 2.1 22.4% 6.6 66.0%
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Simulation Results
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Local newsNational NewsOther Local
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Summary of welfare results
Viewers would seem to like more “other” stuff earlier in theday, and more local news later in the day.
Stations and advertisers would also like to see the world workthis way, but to a lesser extent.
It looks like there is some inefficient business stealing androom for pareto-improving policies.
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News
Introduction and Motivation Model Estimation Estimation Results Conclusions
Conclusions-Extensions-To be done
Conclusions
Application of Game-Theoretic ideas in estimation: new andexciting!
Some improvements over the state-of-the-art both inevaluation of media markets and in game-theory basedestimation.
Some other applications that I’m thinking about...
Matthew J. Baker and Lisa M. George Hunter College and the Graduate Center, CUNY
The News Hour: Estimating the Value of Local Television News