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Power relations in Game Theory

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  • Daniele De Luca

Abstract

The concept of power among players can be expressed as a combination of their utilities. A player who obeys another takes into account the utility of the dominant one. Technically it is a matter of superimposing some weighted sum or product function onto the individual utility function, where the weights can be represented through directed graphs that reflect a situation of power among the players. It is then possible to define some global indices of the system, such as the level of hierarchy, mutualism and freedom, and measure their effects on game equilibria.

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  • Daniele De Luca, 2023. "Power relations in Game Theory," Papers 2307.14170, arXiv.org.
    • Handle: RePEc:arx:papers:2307.14170
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    1. Pranab Bardhan, 1991. "On The Concept Of Power In Economics," Economics and Politics, Wiley Blackwell, vol. 3(3), pages 265-277, November.
    2. Ernst Fehr & Gary Charness, 2023. "Social Preferences: Fundamental Characteristics and Economic Consequences," CESifo Working Paper Series 10488, CESifo.
    3. John A. List, 2009. "Social Preferences: Some Thoughts from the Field," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 563-583, May.
    4. Boyer, Marcel & Moreaux, Michel, 1986. "Perfect competition as the limit of a hierarchical market game," Economics Letters, Elsevier, vol. 22(2-3), pages 115-118.
    5. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    6. 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.
    7. Andreas Flache & Michael Mäs & Thomas Feliciani & Edmund Chattoe-Brown & Guillaume Deffuant & Sylvie Huet & Jan Lorenz, 2017. "Models of Social Influence: Towards the Next Frontiers," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 20(4), pages 1-2.
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