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Slightly Altruistic Equilibria in Normal Form Games

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We introduce a refinement concept for Nash equilibria (slightly altruistic equilibrium) defined by a limit process and which captures the idea of reciprocal altruism as presented in Binmore (2003). Existence is guaranteed for every finite game and for a large class of games with a continuum of strategies. Results and examples emphasize the (lack of) connections with classical refinement concepts. Finally, it is shown that under a pseudo-monotonicity assumption on a particular operator associated to the game it is possible, by selecting slightly altruistic equilibria, to eliminate those equilibria in which a player can switch to a strategy that is better for the others without leaving the set of equilibria.

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  • Giuseppe De Marco & Jacqueline Morgan, 2007. "Slightly Altruistic Equilibria in Normal Form Games," CSEF Working Papers 185, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    • Handle: RePEc:sef:csefwp:185
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    1. Giuseppe De Marco & Jacqueline Morgan, 2009. "Equilibrium selection and altruistic behavior in noncooperative social networks," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 454-470, December.
    2. Giuseppe De Marco & Jacqueline Morgan, 2007. "Social Networks: Equilibrium Selection and Friendliness," CSEF Working Papers 198, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.

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