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Semi-Algebraic Economies

Author

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  • Giraud, G.

Abstract

This paper studies geometric properties of semi-algebraic economies with (eventually nonconvex) production - a class which includes linear or Cobb-Douglas preferences, polyhedric production sets and indivisible commodities as well. The main departure with the textbook differentiable viewpoint is that, here, preferences and production sets need not be smooth, even not continuous. Instead, they are semi-algebraic. The obtained results are analogous to those proven in the usual smooth case. Some consequences are also derived for strategic market games.

Suggested Citation

  • Giraud, G., 1997. "Semi-Algebraic Economies," Papiers d'Economie Mathématique et Applications 97.84, Université Panthéon-Sorbonne (Paris 1).
  • Handle: RePEc:fth:pariem:97.84
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    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, pages 547-571.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
    5. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    6. Quiggin John & Wakker Peter, 1994. "The Axiomatic Basis of Anticipated Utility: A Clarification," Journal of Economic Theory, Elsevier, vol. 64(2), pages 486-499, December.
    7. Allais Maurice, 1990. "Cardinal Utility," Journal des Economistes et des Etudes Humaines, De Gruyter, vol. 1(2), pages 1-38, June.
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    More about this item

    Keywords

    GAMES;

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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