Browsing by Author "Sanjari, S."

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    Nash equilibria for exchangeable team against team games and their mean field limit
    (IEEE, 2023-07-03) Sanjari, S.; Saldı, Naci; Yüksel, S.
    We study stochastic mean-field games among finite number of teams each with large finite as well as infinite numbers of decision makers (DMs). We establish the existence of a Nash equilibrium (NE) and show that a NE exhibits exchangeability in the finite DM regime and symmetry in the infinite one. We establish the existence of a randomized NE that is exchangeable (not necessarily symmetric) among DMs within each team for a general class of exchangeable stochastic games. As the number of DMs within each team drives to infinity that is for the mean-field games among teams), using a de Finetti representation theorem, we establish the existence of a randomized NE that is symmetric (i.e., identical) among DMs within each team and also independently randomized. Finally, we establish that a NE for a class of mean-field games among teams (which is symmetric) constitutes an approximate NE for the corresponding pre-limit game among teams with mean-field interaction and large but finite number of DMs.
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    Optimality of independently randomized symmetric policies for exchangeable stochastic teams with infinitely many decision makers
    (Institute for Operations Research and the Management Sciences (INFORMS), 2022-08-24) Sanjari, S.; Saldi, Naci; Yüksel, S.