Geodesic
Nash equilibria in mixed stationary strategies for $m$-player mean payoff games on networks
Contributions to game theory and management, Tome 11 (2018), pp. 103-112

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We consider a class of non-zero-sum mean payoff games on networks that extends the two-player zero-sum mean payoff game introduced by Ehrenfeucht and Mycielski. We show that for the considered class of games there exist Nash equilibria in mixed stationary strategies and propose an approach for determining the optimal strategies of the players.
Keywords: mean payoff game, pure stationary strategy, mixed stationary strategy, Nash equilibria. 
@article{CGTM_2018_11_a7,
     author = {Dmitrii Lozovanu and Stefan Pickl},
     title = {Nash equilibria in  mixed stationary strategies for $m$-player mean payoff games on networks},
     journal = {Contributions to game theory and management},
     pages = {103--112},
     publisher = {mathdoc},
     volume = {11},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2018_11_a7/}
}
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Dmitrii Lozovanu; Stefan Pickl. Nash equilibria in  mixed stationary strategies for $m$-player mean payoff games on networks. Contributions to game theory and management, Tome 11 (2018), pp. 103-112. http://geodesic.mathdoc.fr/item/CGTM_2018_11_a7/