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Subgame-perfect Equilibria in Mean-payoff Games
[article]
2022
arXiv
pre-print
In this paper, we provide an effective characterization of all the subgame-perfect equilibria in infinite duration games played on finite graphs with mean-payoff objectives. To this end, we introduce the notion of requirement, and the notion of negotiation function. We establish that the plays that are supported by SPEs are exactly those that are consistent with the least fixed point of the negotiation function. Finally, we show that the negotiation function is piecewise linear, and can be
arXiv:2101.10685v3
fatcat:j2ofjvjs4vc3vfcehmfyc57cia