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A mathematical theory of power

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  • Daniele De Luca

Abstract

This paper proposes a new approach to power in Game Theory. Cooperation and conflict are simulated with a mechanism of payoff alteration, called F-game. Using convex combinations of preferences, an F-game can measure players' attitude to cooperate. We can then define actual and potential power as special relations between different states of the system.

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  • Daniele De Luca, 2024. "A mathematical theory of power," Papers 2401.16406, arXiv.org.
    • Handle: RePEc:arx:papers:2401.16406
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    7. Ken Binmore, 2010. "Social norms or social preferences?," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 9(2), pages 139-157, December.
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