class 11 whiteboard antitrust, fall, 2012 monopolization under sec. 2 randal c. picker leffmann...

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Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University of Chicago 773.702.0864/[email protected] Copyright © 2000-12 Randal C. Picker. All

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Page 1: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

Class 11 WhiteboardAntitrust, Fall, 2012

Monopolization under Sec. 2

Randal C. PickerLeffmann Professor of Commercial Law

The Law School

The University of Chicago

773.702.0864/[email protected] © 2000-12 Randal C. Picker. All Rights Reserved.

Page 2: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 2

Strategic Entry Hypo: Capacity Competition

Starting Point Incumbent (I) owns single cement plant in

town. Transportation costs preclude shipments

from other locations. I earns profits of $25 per period.

Page 3: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 3

Strategic Entry Hypo: Capacity Competition

Decisions I can leave its plant capacity alone or

expand it. A potent entrant (E) can build a cement

plant and go into competition with I or build a general manufacturing plant and not compete with I.

Page 4: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 4

Incumbent Profits

I would earn: $25 profits per period from the cement plant if it

did not expand it and E entered M. $30 profits per period from the cement plant if it

expanded the plant and E entered M. $10 profits per period from the cement plant if it

did not expand and E entered C. $5 profits per period from the cement plan if it

expanded and E entered C.

Page 5: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 5

Entrant Profits

E would earn $10 profits per period from manufacturing.

E would earn: $15 profits from entering C if I doesn’t

expand its plant. $5 profits from entering C if I expands its

plant.

Page 6: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 6

Profits Table

We can represent this in the following table:

Incumbent

Entrant

Not Exp

Expand

Enter M Instead

(25,10)(10,15)

(5,5) (30,10)

1. Suppose that E were going to …, what would I do?

2. Suppose that I were going to …, what would E do?

Page 7: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 7

Simultaneous Moves Suppose that E and I make their decisions at

the same time: what would happen? Two (Pure-Strategy) Nash Equilibria Exist

If E were going to enter, I would not expand; if I were going to not expand, E would enter. These are strategically consistent decisions, or they form a Nash equilibrium.

If E were going to Man, I would expand, and if I were going to expand, E would Man. This is a 2nd Nash equilibrium.

Page 8: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 8

Substantial Uncertainty

With two Nash equilibria, we can have little confidence in how this game will be resolved.

Page 9: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 9

E Moves First

Suppose E moves first:

I expands I not I expands I not exp

E opens man E enters cement

1

2 3

(10,30) (10,25) (5,5) (15,10)Payoffs: (E, I)

Page 10: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 10

Results

Use backwards induction to solve this game. At node 3, I will not expand. At node 2, I will expand. At node 1, if E enters, putting I at node 3, I

will not expand, and E will get 15; if E manufactures instead, putting I at node 2, I will expand, and E will get 10.

E will enter the cement business.

Page 11: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 11

I Moves First

Suppose I moves first:

E opens M E enters C E opens M E enters C

I expands I doesn’t expand

1

2 3

(30,10) (5,5) (25,10) (10,15)Payoffs: (I, E)

Page 12: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 12

Results

Use backwards induction to solve this game. At node 3, E will enter C. At node 2, E will manufacture instead. At node 1, if I doesn’t expand, putting E at

node 3,E will enter, and I will get 10; if I expands instead, putting E at node 2, E will manufacture, and I will get 30.

Page 13: Class 11 Whiteboard Antitrust, Fall, 2012 Monopolization under Sec. 2 Randal C. Picker Leffmann Professor of Commercial Law The Law School The University

April 18, 2023 Copyright © 2000-12 Randal C. Picker 13

Results

In the Model I will expand. Order resolves the uncertainty, and

determines the outcome. In reality

Is this Alcoa and should we think of it as an SA2 violation?