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On the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences

Author

Listed:
  • Miyazaki, Kentaro
  • Takekuma, Shin-Ichi

Abstract

Irreducible exchange economies in which consumers’ preferences are satiable and non-ordered are considered. A general existence theorem of dividend quasi-equilibrium is proved and by the theorem the existence of Walras equilibrium is proved under weak assumptions of non-satiation.

Suggested Citation

  • Miyazaki, Kentaro & Takekuma, Shin-Ichi, 2012. "On the existence of Walras equilibrium in irreducible economies with satiable and non-ordered preferences," Discussion Papers 2012-05, Graduate School of Economics, Hitotsubashi University.
  • Handle: RePEc:hit:econdp:2012-05
    as

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    File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/23217/1/070econDP12-05.pdf
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    References listed on IDEAS

    as
    1. Kajii, Atsushi, 1996. "How to discard non-satiation and free-disposal with paper money," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 75-84.
    2. Allouch, Nizar & Le Van, Cuong, 2008. "Walras and dividends equilibrium with possibly satiated consumers," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 907-918, September.
    3. Shafer, Wayne J., 1976. "Equilibrium in economies without ordered preferences or free disposal," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 135-137, July.
    4. Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July.
    5. Dreze, Jacques H. & Muller, Heinz, 1980. "Optimality properties of rationing schemes," Journal of Economic Theory, Elsevier, vol. 23(2), pages 131-149, October.
    6. Won, Dong Chul & Yannelis, Nicholas C., 2011. "Equilibrium theory with satiable and non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 245-250, March.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    dividend equilibrium; Walras equilibrium; irreducibility; satiation;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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