一句话:为 mean-payoff parity 博弈提出一种伪拟多项式时间求解算法。
论文研究 mean-payoff parity game 的求解问题。该博弈是零和博弈:一名玩家既要满足定性的 parity 目标,又要最小化收益的长期平均值(mean payoff);另一名玩家则试图破坏 parity 目标或最大化平均收益。作者提出一种 pseudo-quasi-polynomial 算法来求解该类博弈。摘要本身只给出博弈模型与算法类型,未展开具体技术细节、复杂度上界或实验评估;因此其核心贡献可概括为在 parity 条件与 mean-payoff 定量目标结合的博弈上给出的新算法及其理论算法贡献。
In a mean-payoff parity game, one of the two players aims both to achieve a qualitative parity objective and to minimize a quantitative long-term average of payoffs (aka. mean payoff). The game is zero-sum and hence the aim of the other player is to either foil the parity objective or to maximize the mean payoff.