标题： 具有无限状态和动作集的平均成本MDPs：最优不等式和方程的新充分条件 显示英文标题

标题： Average-Cost MDPs with Infinite State and Action Sets: New Sufficient Conditions for Optimality Inequalities and Equations

摘要： 本文研究具有Borel状态和动作集的离散时间平均成本无限时限马尔可夫决策过程（MDPs）。它为MDPs的最优不等式和最优方程的{那里的}有效性引入了新的充分条件，这些MDPs具有弱连续和集合连续的转移概率。这些不等式和方程意味着确定性最优策略的存在。 显示英文摘要

摘要： This paper studies discrete-time average-cost infinite-horizon Markov decision processes (MDPs) with Borel state and action sets. It introduces new sufficient conditions for { the} validity of optimality inequalities and optimality equations for MDPs with weakly and setwise continuous transition probabilities. These inequalities and equations imply the existence of deterministic optimal policies.