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Potentials in social environments

Author

Listed:
  • Demuynck, Thomas
  • Herings, P. Jean-Jacques
  • Seel, Christian

    (RS: GSBE other - not theme-related research, Microeconomics & Public Economics)

Abstract

We develop and extend notions of potentials for normal-form games (Monderer and Shapley, 1996) to present a unified approach for the general class of social environments. The different potentials and corresponding social environments can be ordered in terms of their permissiveness. We classify different methods to construct potentials and we characterize potentials for specific examples such as matching problems, vote trading, multilateral trade, TU games, and various pillage games.

Suggested Citation

  • Demuynck, Thomas & Herings, P. Jean-Jacques & Seel, Christian, 2023. "Potentials in social environments," Research Memorandum 013, Maastricht University, Graduate School of Business and Economics (GSBE).
    • Handle: RePEc:unm:umagsb:2023013
    DOI: 10.26481/umagsb.2023013
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    References listed on IDEAS

    as
    1. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    2. Martin Jensen, 2010. "Aggregative games and best-reply potentials," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 45-66, April.
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    More about this item

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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