On the Existence of Stationary Nash Equilibria for Mean Payoff Games on Graphs

DOI10.56415/basm.y2023.i2.p41OpenAlexW4391062698MaRDI QIDQ6144747

Stefan Pickl, Dmitrii D. Lozovanu

Publication date: 29 January 2024

Published in: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.56415/basm.y2023.i2.p41

zbMATH Keywords

stationary Nash equilibriummean payoff gamepure stationary strategymixed stationary strategy

Mathematics Subject Classification ID

2-person games (91A05) Games involving graphs (91A43) Games on graphs (graph-theoretic aspects) (05C57)

Cites Work

• Determining the optimal strategies for zero-sum average stochastic positional games
• Cyclical games with prohibitions
• Positional strategies for mean payoff games
• Cycles in extensive form perfect information games
• The complexity of mean payoff games on graphs
• Cyclic Markov equilibria in stochastic games
• Stationary Nash equilibria for average stochastic positional games
• Cyclic games and an algorithm to find minimax cycle means in directed graphs
• The Existence of Equilibrium in Discontinuous Economic Games, I: Theory

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