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On a class of smooth preferences

Author

Listed:
  • Andrea Attar

    (CNRS, University of Toulouse Capitole
    Università degli Studi di Roma “Tor Vergata”)

  • Thomas Mariotti

    (CNRS, University of Toulouse Capitole)

  • François Salanié

    (INRA, University of Toulouse Capitole)

Abstract

We construct a complete space of smooth strictly convex preferences defined over commodities and monetary transfers. Our model extends the classical one in that preferences are strictly monotone in monetary transfers, but need not be monotone in all commodities. We thereby provide a natural framework for performing genericity analyses in situations involving inventory costs or decisions under risk. The constructed space of preferences is contractible, which allows for a natural aggregation procedure in collective decision situations.

Suggested Citation

  • Andrea Attar & Thomas Mariotti & François Salanié, 2019. "On a class of smooth preferences," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 37-57, May.
    • Handle: RePEc:spr:etbull:v:7:y:2019:i:1:d:10.1007_s40505-018-0142-y
    DOI: 10.1007/s40505-018-0142-y
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    References listed on IDEAS

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    1. Mas-Colell,Andreu, 1990. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521388702, September.
    2. Chichilnisky, Graciela & Heal, Geoffrey, 1983. "Necessary and sufficient conditions for a resolution of the social choice paradox," Journal of Economic Theory, Elsevier, vol. 31(1), pages 68-87, October.
    3. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
    4. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2011. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 2, number 2.
    5. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    6. repec:bla:econom:v:48:y:1981:i:189:p:1-15 is not listed on IDEAS
    7. Charles D. Horvath, 2001. "On the topological social choice problem," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(2), pages 227-250.
    8. Polemarchakis, H. M. & Siconolfi, P., 1993. "Competitive equilibria without free disposal or nonsatiation," Journal of Mathematical Economics, Elsevier, vol. 22(1), pages 85-99.
    9. Lauwers, Luc, 2000. "Topological social choice," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 1-39, July.
    10. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    11. Chichilnisky, Graciela, 1980. "Social choice and the topology of spaces of preferences," MPRA Paper 8006, University Library of Munich, Germany.
    12. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    13. Luc Lauwers, 2009. "The topological approach to the aggregation of preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 449-476, September.
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    More about this item

    Keywords

    Smooth preferences; Nonmonotonicity; Collective choice;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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