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This chapter concerns two-person Markov games in Borel spaces with additive transition and additive rewards. The existence of stationary Nash equilibria is proven for rewards that are not necessarily bounded, under certain continuity and compactness assumptions. We also show that players can choose equilibrium strategies concentrated on at most two actions at each state.

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On Stationary Nash Equilibria in ARAT Games with Unbounded Payoff Functions

  • 会议论文

  • 发表日期：

    2025年

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  • Fonseca-Morales Alejandra,
  • González-Sánchez David,
  • Luque-Vásquez Fernando

摘要

This chapter concerns two-person Markov games in Borel spaces with additive transition and additive rewards. The existence of stationary Nash equilibria is proven for rewards that are not necessarily bounded, under certain continuity and compactness assumptions. We also show that players can choose equilibrium strategies concentrated on at most two actions at each state.