Geodesic
Equilibria in pure strategies for a two-player zero-sum average stochastic positional game
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2022), pp. 75-82

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The problem of the existence and determining equilibria in pure stationary strategies for a two-player zero-sum average stochastic positional game is considered. We show that for such a game there exists the value and players may achieve the value by applying pure stationary strategies of choosing the actions in their positions. Based on a constructive proof of these results we propose an algorithmic approach for determining the optimal pure stationary strategies of the players. 
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     author = {Dmitrii Lozovanu and Stefan Pickl},
     title = {Equilibria in pure strategies for a two-player zero-sum average stochastic positional game},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {75--82},
     publisher = {mathdoc},
     number = {1},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2022_1_a5/}
}
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Dmitrii Lozovanu; Stefan Pickl. Equilibria in pure strategies for a two-player zero-sum average stochastic positional game. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2022), pp. 75-82. http://geodesic.mathdoc.fr/item/BASM_2022_1_a5/