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Arrovian Social Choice Theory on Economic Domains

Author

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  • Michel Le Breton

    (GREMAQ and IDEI, Universite de Toulouse 1)

  • John A. Weymark

    (Department of Economics, Vanderbilt University)

Abstract

This article surveys the literature that investigates the consistency of Arrow's social choice axioms when his unrestricted domain assumptions are replaced by domain conditions that incorporate the restrictions on agendas and preferences encountered in economic environments. Both social welfare functions and social choice correspondences are considered.

Suggested Citation

  • Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Vanderbilt University Department of Economics Working Papers 0206, Vanderbilt University Department of Economics, revised Sep 2003.
    • Handle: RePEc:van:wpaper:0206
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    References listed on IDEAS

    as
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    20. Ehud Kalai & Eitan Muller & Mark Satterthwaite, 1979. "Social welfare functions when preferences are convex, strictly monotonic, and continuous," Public Choice, Springer, vol. 34(1), pages 87-97, March.
    21. Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 1, pages 35-94, Elsevier.
    22. Kim C. Border & J. S. Jordan, 1983. "Straightforward Elections, Unanimity and Phantom Voters," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 153-170.
    23. Lars Ehlers & John A. Weymark, 2003. "Candidate stability and nonbinary social choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(2), pages 233-243, September.
    24. Michel Le Breton & John A. Weymark, 2002. "Social choice with analytic preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(3), pages 637-657.
    25. David M. Grether & Charles R. Plott, 1982. "Nonbinary Social Choice: An Impossibility Theorem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 143-149.
    26. Georges Bordes & Peter J. Hammond & Michel Le Breton, 2005. "Social Welfare Functionals on Restricted Domains and in Economic Environments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 7(1), pages 1-25, February.
    27. Peters, Hans & Wakker, Peter, 1991. "Independence of Irrelevant Alternatives and Revealed Group Preferences," Econometrica, Econometric Society, vol. 59(6), pages 1787-1801, November.
    28. Kim Border, 1984. "An impossibility theorem for spatial models," Public Choice, Springer, vol. 43(3), pages 293-305, January.
    29. Jeffrey Richelson, 1984. "Social choice and the status quo," Public Choice, Springer, vol. 42(3), pages 225-234, January.
    30. Campbell, Donald E., 1990. "Intergenerational social choice without the Pareto principle," Journal of Economic Theory, Elsevier, vol. 50(2), pages 414-423, April.
    31. Campbell, Donald E., 1993. "Euclidean individual preference and continuous social preference," European Journal of Political Economy, Elsevier, vol. 9(4), pages 541-550, November.
    32. Border, Kim C., 1983. "Social welfare functions for economic environments with and without the pareto principle," Journal of Economic Theory, Elsevier, vol. 29(2), pages 205-216, April.
    33. Campbell, Donald E., 1992. "The arrow and plott independence conditions," Economics Letters, Elsevier, vol. 39(2), pages 143-146, June.
    34. Michel Breton, 1997. "Arrovian Social Choice on Economic Domains," International Economic Association Series, in: Kenneth J. Arrow & Amartya Sen & Kotaro Suzumura (ed.), Social Choice Re-examined, chapter 4, pages 72-96, Palgrave Macmillan.
    35. Weymark, John A., 1998. "Welfarism on economic domains1," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 251-268, December.
    36. Nitzan, Shmuel, 1976. "On Linear and Lexicographic Orders, Majority Rule and Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(1), pages 213-219, February.
    37. John Bone, 2003. "Simple Arrow-type propositions in the Edgeworth domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(1), pages 41-48.
    38. Le Breton, Michel & Trannoy, Alain, 1987. "Measures of inequality as an aggregation of individual preferences about income distribution: The arrowian case," Journal of Economic Theory, Elsevier, vol. 41(2), pages 248-269, April.
    39. Inada, Ken-ichi, 1971. "Social Welfare Function and Social Indifference Surfaces," Econometrica, Econometric Society, vol. 39(3), pages 599-624, May.
    40. Bordes, Georges & Breton, Michel Le, 1989. "Arrovian theorems with private alternatives domains and selfish individuals," Journal of Economic Theory, Elsevier, vol. 47(2), pages 257-281, April.
    41. Yanovskaya, Elena B., 1994. "Correspondence between social choice functions and solutions of cooperative games," Mathematical Social Sciences, Elsevier, vol. 27(2), pages 217-234, April.
    42. Le Breton, Michel & Weymark, John A., 1999. "Strategy-proof social choice with continuous separable preferences," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 47-85, August.
    43. James Redekop, 1996. "Arrow theorems in mixed goods, stochastic, and dynamic economic environments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(1), pages 95-112, January.
    44. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
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    2. Emre Doğan & M. Sanver, 2008. "Arrovian impossibilities in aggregating preferences over non-resolute outcomes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 495-506, April.

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    More about this item

    Keywords

    Social choice; Arrow's Theorem; restricted domains;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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