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Three Theorems on Non-Emptiness of Approximate Cores: Part 1. Game Theoretic Results

Author

Listed:
  • Kovalenkov, A.
  • Wooders, M.H.

Abstract

We introduce the framework of parametrized collections of games and provide three nonemptiness of approximate core theorems for arbitrary games without (and with) sidepayments. The framework and theorems are sufficiently general to encompass results in the literature on nonemptiness of approximate cores of games derived from pregames. The theorems are based on a new notion of strongly balanced profiles and approximately strongly balanced profiles.

Suggested Citation

  • Kovalenkov, A. & Wooders, M.H., 1997. "Three Theorems on Non-Emptiness of Approximate Cores: Part 1. Game Theoretic Results," UFAE and IAE Working Papers 390.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    • Handle: RePEc:aub:autbar:390.97
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    Citations

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    Cited by:

    1. Kovalenkov, A. & Holtz Wooders, M., 1997. "Epsilon Cores of Games and Economies With Limited Side Payments," UFAE and IAE Working Papers 392.97, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    2. John P. Conley & Myrna Wooders, 1998. "Anonymous Lindahl Pricing in a Tiebout Economy with Crowding Types," Canadian Journal of Economics, Canadian Economics Association, vol. 31(4), pages 952-974, November.
    3. Alexander Kovalenkov & Myrna Holtz Wooders, 1997. "An explicit bound on," Working Papers mwooders-98-04, University of Toronto, Department of Economics.

    More about this item

    Keywords

    GAMES;

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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