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Strategic Cores In A Public Goods Economy

Author

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  • YUKIHISA UTSUMI

    (Department of Value and Decision Sciences, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-Ku Tokyo, Japan 152-8550, Japan)

  • MIKIO NAKAYAMA

    (Department of Economics, Keio University, 2-15-45, Mita, Minato-ku, Tokyo, Japan 108-8345, Japan)

Abstract

In a public goods economy with linear production technologies, we consider a strategic game with coalitions in which each player is required as a strategy to reallocate his or her own initial endowments for exchange and production. Allowing negative strategies, i.e., reallocations with negative amount, we show that the core of this economy can be characterized as the set of allocations corresponding to strategy profiles for which no coalition hasa self-supporting deviation, i.e., a deviation that is not free-riding on the allocations made by the complementary coalition. Moreover, restricting strategies to be nonnegative, the classical β-core and α-core both generate precisely the core allocations of the economy.

Suggested Citation

  • Yukihisa Utsumi & Mikio Nakayama, 2004. "Strategic Cores In A Public Goods Economy," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 509-524.
  • Handle: RePEc:wsi:igtrxx:v:06:y:2004:i:04:n:s0219198904000332
    DOI: 10.1142/S0219198904000332
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    Keywords

    Public goods; strong equilibrium; self-supporting coalitional equilibrium; the core of an economy; the alpha-core; the beta-core;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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