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Values of perfectly competitive economies

In: Handbook of Game Theory with Economic Applications

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  • Hart, Sergiu

Abstract

Perfectly competitive economies are economic models with many agents, each of whom is relatively insignificant. This chapter studies the relations between the basic economic concept of competitive (or Walrasian) equilibrium, and the game-theoretic solution concept of value. It includes the classical Value Equivalence Theorem together with its many extensions and generalizations, as well as recent results.

Suggested Citation

  • Hart, Sergiu, 2002. "Values of perfectly competitive economies," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 3, chapter 57, pages 2169-2184, Elsevier.
    • Handle: RePEc:eee:gamchp:3-57
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    Citations

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    Cited by:

    1. Stefano Moretti & Fioravante Patrone, 2008. "Transversality of the Shapley value," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 16(1), pages 1-41, July.
    2. Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
    3. Einy, Ezra & Moreno, Diego & Shitovitz, Benyamin, 2000. "Rational expectations equilibria and the ex-post core of an economy with asymmetric information," Journal of Mathematical Economics, Elsevier, vol. 34(4), pages 527-535, December.
    4. Emilio Calvo, 2008. "Random marginal and random removal values," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 533-563, December.
    5. Sergiu Hart & Andreu Mas-Colell, 2008. "Bargaining and Cooperation in Strategic Form Form Games," Levine's Working Paper Archive 122247000000002205, David K. Levine.
    6. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.
    7. Dubey, Pradeep & Neyman, Abraham, 1997. "An Equivalence Principle for Perfectly Competitive Economies," Journal of Economic Theory, Elsevier, vol. 75(2), pages 314-344, August.
    8. Leung, Siu Fai, 2009. "Cake eating, exhaustible resource extraction, life-cycle saving, and non-atomic games: Existence theorems for a class of optimal allocation problems," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1345-1360, June.
    9. Sergio Monsalve, 2002. "Teoría de juegos: ¿hacia dónde vamos? (60 años después de von Neumann y Morgenstern)," Revista de Economía Institucional, Universidad Externado de Colombia - Facultad de Economía, vol. 4(7), pages 114-130, July-Dece.
    10. Yan-An Hwang & Yu-Hsien Liao, 2020. "A Solution Concept and Its Axiomatic Results under Non-Transferable-Utility and Multi-Choice Situations," Mathematics, MDPI, vol. 8(9), pages 1-10, September.
    11. Yu-Hsien Liao, 2012. "Converse consistent enlargements of the unit-level-core of the multi-choice games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(4), pages 743-753, December.

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    JEL classification:

    • C - Mathematical and Quantitative Methods

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