Asymptotic value in frequency-dependent games with separable payoffs: a differential approach

Joseph Abdou and Nikolaos Pnevmatikos ()
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Nikolaos Pnevmatikos: Université Paris 2 Panthéon-Assas, http://lemma.u-paris2.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We study the asymptotic value of a frequency-dependent zero-sum game with separable payoff following a differential approach. The stage payoffs in such games depend on the current actions and on a linear function of the frequency of actions played so far. We associate to the repeated game, in a natural way, a differential game and although the latter presents an irregularity at the origin, we prove that it has a value. We conclude, using appropriate approximations, that the asymptotic value of the original game exists in both the n-stage and the ?-discounted games ant that it coincides with the value of the continuous time game

Keywords: stochastic game; frequency dependent payoffs; continuous-time game; Hamilton-Jacobi-Bellman-Isaacs equation (search for similar items in EconPapers)
JEL-codes: C73 (search for similar items in EconPapers)
Pages: 23 pages
Date: 2016-11, Revised 2018-07
New Economics Papers: this item is included in nep-gth
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ftp://mse.univ-paris1.fr/pub/mse/CES2016/16076RR.pdf (application/pdf)

Related works:
Journal Article: Asymptotic Value in Frequency-Dependent Games with Separable Payoffs: A Differential Approach (2019)
Working Paper: Asymptotic value in frequency-dependent games with separable payoffs: a differential approach (2018)
Working Paper: Asymptotic value in frequency-dependent games with separable payoffs: a differential approach (2018)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:16076rr

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