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  • Bibliographical references for the courseEquality and Social Justice.

    Nicolas Gravel

    September 09 2015

    1 Arrows theorem and the problem of socialchoice

    1.1 Generalities

    Arrow (1950), Arrow (1963), Bergson (1938), Caplin and Nalebuff (1991), Can-deal, Chichilnisky, and Indurin (1997), Kemp (1953), Sen (1986), Suzumuraand Xu (2001), Suzumura and Xu (2004).

    1.2 Social choice on restricted domains

    Donaldson and Roemer (1987), Gaertner (2001), Geslin, Salles, and Ziad (2003).

    1.3 Money metric measurement of aggregate welfare andcost benefit analysis

    Blackorby and Donaldson (1988), Blackorby and Donaldson (1990b). Boadway(1974), Chambers and Hayashi (2012), Diewert (1983), Ebert (1987), Slivinsky(1987).

    1.4 Potential Pareto improvement and measurement ofPareto effi ciency.

    Bossert (1996). Chipman (1987), Chipman and Moore (1971), Chipman andMoore (1973), Chipman and Moore (1976), Chipman and Moore (1978), Debreu(1951), Dierker and Leninghaus (1986), Gorman (1955), Gravel (2001), Hicks(1939), Kaldor (1939), Little (1957),Ruiz-Castillo (1987), Samuelson (1950),Scitovsky (1941), Suppes (1966).

    1

  • 1.5 Textbook treatment of social choice, welfare econom-ics and theory of justice

    Boadway and Bruce (1984), Feldman (1980), Fleurbaey (1996), Kolm (1996),Roemer (1996), Sen (1970a).

    2 Philosophical discussions on social ethics

    Arrow (1973), Elster (1979), Broome (1991) , Broome (1993) , Broome (1999),Broome (2004), Goodin (1986), Griffi n (1986), Hare (1981), Kolm (1969), Kolm(1982), Nagel (1979), Rawls (1971), Rawls (1982), Sen (1977b), Sen (1979a),Sen (1987), Sidgwick (1907).

    3 Welfarist escape of Arrows theorem

    3.1 Discussion on, and measurement of, welfare and hap-piness

    Clark and Oswald (1994), Deaton (1980), Griffi n (1986), Summer (1996).

    3.2 Welfarist interpretation of the problem of social choice

    Arrow (1977), Bosmans and Ooghe (2013), Blackorby, Donaldson, and Weymark(1984), Blackorby and Donaldson (1984), Blackorby and Donaldson (1982),. DAspremont (1985), DAspremont and Gevers (1977), DAspremont andMongin (1998), Deschamps and Gevers (1978), Hammond (1976), Sen (1976),Sen (1977c), Sen (1977a), Strasnick (1975).

    3.3 Variable population issues,

    Blackorby, Bossert, and Donaldson (1995), Blackorby, Bossert, and Donald-son (1999),Blackorby, Bossert, and Donaldson (2001), Blackorby, Bossert, andDonaldson (2005), Hurka (1983), Gravel, Marchant, and Sen (2011), Narveson(1967), Parfit (1984).

    3.4 Utilitarianism

    Coulhon and Mongin (1989), Denicol (1999), Diamond (1967), Hare (1982),Harsanyi (1953), Harsanyi (1955), Harsanyi (1975), Harsanyi (1977), Harsanyi(1982), Mongin (1995), Sen (1979b).

    2

  • 4 Non-welfarist escape out of Arrows theorem

    4.1 Philosophical discussion of the notion of freedom andits importance

    Ackerman (1980),Berlin (1969),Buchanan (1975), Buchanan (1986), Friedman(1962), Friedman and Friedman (1980), Hayek (1960), Hicks (1981), Knight(1947), Kolm (1997), Mill (1974), Sen (1985a), Sen (1985b), Sen (1988), Sen(1990), Sen (1991), Sen (1993), Sugden (1985), VanHees (2000), Parijs (1995).

    4.2 Equality of opportunities and fairness

    Arneson (1989), Arneson (1990), Bossert (1995), Bossert and Fleurbaey (1996),Bossert, Fleurbaey, and Vandegaer (1999), Cohen (1989), Cohen (1990), Dwor-kin (1981), Fleurbaey (1994), Fleurbaey (1995), Fleurbaey (1998), Fleurbaey(2008), Fleurbaey and Maniquet (1996), Fleurbaey and Maniquet (1999), Fleur-baey and Maniquet (2007), Fleurbaey and Maniquet (2008),Foley (1967), Her-rero (1996b), Herrero, Iturbe-Ormaetxe, and Nieto (1998), Iturbe-Ormaetxeand Nieto (1995), Kolm (1972), Kranich (1996), Kranich (1997), Ok (1997),Ok and Kranich (1998), Ooghe, Schokkaert, and VandeGaer (2007), Paznerand Schmeidler (1974), Pazner and Schmeidler (1978), Peragine (1999), Roemer(1993), Roemer (1998), Roemer, Aaberge, Colombino, Fritzell, Jenkins, Lefranc,Marx, Page, Pommert, Ruiz-Castrillo, Secondo, Tranaes, Trannoy, Wagner, andZubini (2003), Shorrocks (1978), VandeGaer (1993), Varian (1974).

    4.3 Definition and measurement of freedom

    Arrow (1995)Baharad and Nitzan (2000), Bossert, Pattanaik, and Xu (1994),Barber, Bossert, and Pattanaik (2004), Bossert (1997), Carter (1999), Duttaand Sen (1996), Erlander (2005), Foster (1998), Gravel (1994), Gravel (1998),Gravel (2006), Gravel (2009), Gravel, Laslier, and Trannoy (1998), Gravel andTarroux (2011), Herrero (1996a), Jones and Sugden (1982), Klemisch-Ahlert(1993), Kreps (1979), Nehring and Puppe (1999), Pattanaik and Xu (1990),Pattanaik and Xu (1998), Pattanaik and Xu (2000a), Pattanaik and Xu (2000b),Puppe (1995), Puppe (1996), Puppe (1998), Romero-Medina (2001), Sugden(1998), Suppes (1987), Suppes (1996), VanHees (1997), VanHees (2003), Xu(2004).

    4.4 Modelization and definition of rights

    Deb (1994), Deb, Pattanaik, and Razzolini (1997), Gaerner, Pattanaik, and Su-zumura (1992), Grdenfors (1981), Gibbard (1974), Peleg (1998), Sen (1970b).

    4.5 Ranking opportunity sets with uncertain consequences

    .Bossert (2000), Bervoets (2007).

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  • 4.6 Measurement of diversity:

    Berger and Parker (1970), Bervoets and Gravel (2007), Bossert, Pattanaik, andXu (2001), Bossert, Pattanaik, and Xu (2003), Good (1953), Gravel (2008),Magurran (1998), Nehring and Puppe (2002), Nehring and Puppe (2003), Nehringand Puppe (2008), Renyi (1961), Shannon (1948), Simpson (1949), VanHees(2004).

    5 Measurement of one-dimensional inequality andpoverty

    5.1 Theory and axiomatic principles

    Aaberge (2000), Aaberge (2001), Abul-Naga and Yalcin (2008), Allison andFoster (2004), Amiel and Cowell (1992), Amiel, Creedy, and Hurn (1999), An-derson (1999), Atkinson (1970), Atkinson (1987), Berge (1959), Blackorby andDonaldson (1977), Dasgupta, Sen, and Starrett (1973), Fishburn and Vickson(1978), Foster and Ok (1999), Foster, Greer, and Thorbecke (1984), Fosterand Shorrocks (1987), Hardy, Littlewood, and Polya (1952), Jakobsson (1976),Lehmann (1955), Moyes (1987), Moyes (1988), Moyes (1994), Moyes (1989),Quirk and Saposnik (1962) Sen (1973), Sen (1992), Shannon (1948), Shorrocks(1980), Shorrocks (1982), Shorrocks (1983), Shorrocks (1984), Sidgwick (1907),Thon (1987).

    5.2 Empirical implementation

    Abul-Naga and Yalcin (2008), Apouey (2007), Bourguignon and Morrisson(2001), Deaton and Drze (2005), Banerjee and Piketty (2005), Gottschalk andSmeeding (1997), Himanshu and Sen (2005), Lipton and Ravallion (1998), May-shar and Yitzhaki (1995).

    5.3 Statistical inference issues when comparing incomedistributions

    Anderson (1999), Anderson (2008), Bishop and Formby (1999), Bishop, Formby,and Thistle (1989), Bishop, Formby, and Thistle (1992), Bishop, Chow, Formby,and Slotsve (1994), Davidson and Duclos (2000), Kaur, Prakasao, and Singh(1994).

    5.4 Measurement of polarization

    Duclos, Esteban, and Ray (2004), Esteban and Ray (1994).

    4

  • 6 Measurement of multidimensional inequalityand poverty

    6.1 Theory

    Atkinson and Bourguignon (1982),Atkinson and Bourguignon (1987), Bazenand Moyes (2003), Bourguignon (1989), Bourguignon (1999). Bourguignon andChakravarty (2003), Ebert (1997b), Ebert (1997a), Epstein and Tanny (1980),Fleurbaey and Trannoy (2003), Gravel and Moyes (2011)?, Hadar and Russell(1974), Jenkins and Lambert (1993), Kolm (1976a), Kolm (1976b), Kolm (1977),Koshevoy (1995), Koshevoy (1998), Maasoumi (1986), Moyes (1999), Osterdal(2010), Trannoy (2004), Tsui (1995), Tsui (1999), Tsui (2002).

    6.2 Equivalence scale methodogology

    Blackorby and Donaldson (1990a), DeVos and Zaidi (1997), Fleurbaey, Hagner,and Trannoy (2003).

    6.3 empirical implementations

    Duclos, Sahn, and Younger (2006), Gravel and Mukhopadhyay (2010), Gravel,Moyes, and Tarroux (2009).

    6.4 inequality in risk

    Fleurbaey (2010), Gadjos and Maurin (2003), Gravel and Tarroux (2015), Ham-mond (1981).

    References

    Aaberge, R. (2000): Characterization of Lorenz Curves and Income Distri-butions,Social Choice and Welfare, 17, 639653.

    (2001): Axiomatic Characterization of the Gini Coeffi cient LorenzCurve Orderings,Journal of Economic Theory, 101, 115132.

    Abul-Naga, R., and T. Yalcin (2008): Inequality Measurement for orderedresponse health data,Journal of Health Economics, 27, 16141625.

    Ackerman, B. A. (1980): Social Justice in the Liberal State. Yale UniversityPress, New Haven, Conn.

    Allison, R. A., and J. E. Foster (2004): Measuring health InequalityUsing Qualitative Data,Journal of Health Economics, 23, 505524.

    Amiel, Y., and F. Cowell (1992): Inequality Measurement: An Experi-mental Approach,Journal of Public Economics, 69, 326.

    5

  • Amiel, Y., J. Creedy, and S. Hurn (1999): Measuring Attitudes TowardInequality,Scandinavian Journal of Economics, 101, 8396.

    Anderson, E. (1999): What is the Point of Equality ?,Ethics, 109, 287337.

    Anderson, G. (2008): The Empirical Assessment of Multidimensional Wel-fare, Inequality and Poverty: Sample Weighted Multivariate Generalizationof the Kolmogorov-Smirnov Two Sample Tests for Stochastic Dominance,Journal of Economic Inequality, 6, 7387.

    Apouey, B. (2007): Measuring Health Polarization with Self-Assessed HealthData,Health Economics, 16, 875894.

    Arneson, R. J. (1989): Equality and Equal Opportunity for Welfare,Philo-sophical Studies, 56, 7793.

    (1990): Liberalism, Distributive Subjectivism and Equal Opportunityfor Welfare,Philosophy and Public Affairs, 19, 158194.

    Arrow, K. J. (1950): A Diffi culty in the Concept of Welfare, Journal ofPolitical Economy, 58, 328346.

    (1963): Social Choice and Individual Values, Cowles Foundation Mono-graph. Yale University Press, New Heaven.

    (1973): Some Ordinalist-Utilitarian Notes on Rawlss Theory o