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Arrovian Social Choice Theory on Economic Domains

  • Le Breton, Michel
  • Weymark, John

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.

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Paper provided by Institut d'Économie Industrielle (IDEI), Toulouse in its series IDEI Working Papers with number 143.

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Date of creation: 2002
Date of revision: Sep 2003
Publication status: Published in dans Handbook of Social Choice and Welfare, sous la direction de Kenneth J. Arrow, Armatya Sen et Kotaro Suzumura, vol.�2, chapitre 8, Elsevier Science, 2010.
Handle: RePEc:ide:wpaper:586
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  1. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  2. Georges Bordes & Peter J. Hammond & Michel Le Breton, 1997. "Social Welfare Functionals on Restricted Domains and in Economic Environments," Working Papers 97023, Stanford University, Department of Economics.
  3. Moulin, H & Thomson, W, 1995. "Axiomatic Analysis of Resource Allocation," RCER Working Papers 400, University of Rochester - Center for Economic Research (RCER).
  4. Redekop, James, 1993. "The questionnaire topology on some spaces of economic preferences," Journal of Mathematical Economics, Elsevier, vol. 22(5), pages 479-494.
  5. Michel LeBreton & John A. Weymark, 2000. "Social Choice with Analytic Preferences," Econometric Society World Congress 2000 Contributed Papers 1050, Econometric Society.
  6. Bordes, Georges & Campbell, Donald E & Le Breton, Michel, 1995. "Arrow's Theorem for Economic Domains and Edgeworth Hyperboxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(2), pages 441-54, May.
  7. 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.
  8. Donaldson, David & Weymark, John A., 1988. "Social choice in economic environments," Journal of Economic Theory, Elsevier, vol. 46(2), pages 291-308, December.
  9. Lars Ehlers & John A. Weymark, 2001. "Candidate Stability and Nonbinary Social Choice," Vanderbilt University Department of Economics Working Papers 0113, Vanderbilt University Department of Economics.
  10. Saari, Donald G., 1991. "Calculus and extensions of Arrow's theorem," Journal of Mathematical Economics, Elsevier, vol. 20(3), pages 271-306.
  11. Inada, Ken-ichi, 1971. "Social Welfare Function and Social Indifference Surfaces," Econometrica, Econometric Society, vol. 39(3), pages 599-624, May.
  12. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2002. "The Informational Basis of the Theory of Fair Allocation," Discussion Paper 122, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
  13. Dutta, Bhaskar & Jackson, Matthew O & Le Breton, Michel, 2001. "Strategic Candidacy and Voting Procedures," Econometrica, Econometric Society, vol. 69(4), pages 1013-37, July.
  14. 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.
  15. Gaertner, Wulf, 2002. "Domain restrictions," 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 3, pages 131-170 Elsevier.
  16. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
  17. Fleurbaey, Marc & Suzumura, Kotaro & Tadenuma, Koichi, 2002. "Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?," Discussion Papers 2002-10, Graduate School of Economics, Hitotsubashi University.
  18. Kalai, Ehud & Ritz, Zvi, 1980. "Characterization of the private alternatives domains admitting arrow social welfare functions," Journal of Economic Theory, Elsevier, vol. 22(1), pages 23-36, February.
  19. 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.
  20. Redekop, James, 1991. "Social welfare functions on restricted economic domains," Journal of Economic Theory, Elsevier, vol. 53(2), pages 396-427, April.
  21. Campbell, Donald E., 1990. "Can equity be purchased at the expense of efficiency? An axiomatic inquiry," Journal of Economic Theory, Elsevier, vol. 51(1), pages 32-47, June.
  22. Border, Kim C & Jordan, J S, 1983. "Straightforward Elections, Unanimity and Phantom Voters," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 153-70, January.
  23. Campbell, Donald E., 1993. "Euclidean individual preference and continuous social preference," European Journal of Political Economy, Elsevier, vol. 9(4), pages 541-550, November.
  24. Campbell, Donald E, 1992. "Implementation of Social Welfare Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 525-33, August.
  25. 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.
  26. Campbell, Donald E., 1992. "Quasitransitive intergenerational choice for economic environments," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 229-247.
  27. LeBreton, M., 1994. "Arrovian Social Choice on Economic Domains," G.R.E.Q.A.M. 94a37, Universite Aix-Marseille III.
  28. Weymark, John A., 1997. "Aggregating Ordinal Probabilities on Finite Sets," Journal of Economic Theory, Elsevier, vol. 75(2), pages 407-432, August.
  29. EHLERS, Lars & STORCKEN, Ton, 2002. "Arrow's Theorem in Spatial Environments," Cahiers de recherche 2002-03, Universite de Montreal, Departement de sciences economiques.
  30. Ehlers, Lars, 2001. "Independence axioms for the provision of multiple public goods as options," Mathematical Social Sciences, Elsevier, vol. 41(2), pages 239-250, March.
  31. Grether, David M. & Plott, Charles R., . "Nonbinary Social Choice: An Impossibility Theorem," Working Papers 271, California Institute of Technology, Division of the Humanities and Social Sciences.
  32. Campbell, Donald E., 1992. "The arrow and plott independence conditions," Economics Letters, Elsevier, vol. 39(2), pages 143-146, June.
  33. 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.
  34. James Redekop, 1996. "Arrow theorems in mixed goods, stochastic, and dynamic economic environments," Social Choice and Welfare, Springer, vol. 13(1), pages 95-112, January.
  35. 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 213-19, February.
  36. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
  37. Peters, Hans & Wakker, Peter, 1991. "Independence of Irrelevant Alternatives and Revealed Group Preferences," Econometrica, Econometric Society, vol. 59(6), pages 1787-1801, November.
  38. Bailey, Martin J, 1979. "The Possibility of Rational Social Choice in an Economy," Journal of Political Economy, University of Chicago Press, vol. 87(1), pages 37-56, February.
  39. Campbell, Donald E, 1992. "Transitive Social Choice in Economic Environments," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 341-52, May.
  40. Weymark, John A., 1998. "Welfarism on economic domains1," Mathematical Social Sciences, Elsevier, vol. 36(3), pages 251-268, December.
  41. 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.
  42. Moulin, Herve & Thomson, William, 1988. "Can everyone benefit from growth? : Two difficulties," Journal of Mathematical Economics, Elsevier, vol. 17(4), pages 339-345, September.
  43. Jeffrey Richelson, 1984. "Social choice and the status quo," Public Choice, Springer, vol. 42(3), pages 225-234, January.
  44. John Bone, 2003. "Simple Arrow-type propositions in the Edgeworth domain," Social Choice and Welfare, Springer, vol. 20(1), pages 41-48.
  45. Campbell, Donald E., 1990. "Intergenerational social choice without the Pareto principle," Journal of Economic Theory, Elsevier, vol. 50(2), pages 414-423, April.
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