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Potentials in social environments

Author

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

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 matching problems, vote trading, multilateral trade, TU games, and various pillage games.

Suggested Citation

  • Demuynck, Thomas & Herings, P. Jean-Jacques & Seel, Christian, 2026. "Potentials in social environments," Games and Economic Behavior, Elsevier, vol. 158(C), pages 419-440.
    • Handle: RePEc:eee:gamebe:v:158:y:2026:i:c:p:419-440
    DOI: 10.1016/j.geb.2026.04.002
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    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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