...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematical methods of operations research >Construction of Nash equilibrium based on multiple stopping problem in multi-person game
【24h】

Construction of Nash equilibrium based on multiple stopping problem in multi-person game

机译：多人游戏中基于多重停止问题的纳什均衡构造

获取原文
获取原文并翻译 | 示例
   

获取外文期刊封面封底 >>

       
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

We consider a multi-person stopping game with players' priorities and multiple stopping. Players observe sequential offers at random or fixed times. Each accepted offer results in a reward. Each player can obtain fixed number of rewards. If more than one player wants to accept an offer, then the player with the highest priority among them obtains it. The aim of each player is to maximize the expected total reward. For the game defined this way, we construct a Nash equilibrium. The construction is based on the solution of an optimal multiple stopping problem. We show the connections between expected rewards and stopping times of the players in Nash equilibrium in the game and the optimal expected rewards and optimal stopping times in the multiple stopping problem. A Pareto optimum of the game is given. It is also proved that the presented Nash equilibrium is a sub-game perfect Nash equilibrium. Moreover, the Nash equilibrium payoffs are unique. We also present new results related to multiple stopping problem.
机译：我们考虑具有玩家优先级和多次停止的多人停止游戏。玩家在随机或固定时间观察顺序报价。每个接受的报价都会产生奖励。每个玩家可以获得固定数量的奖励。如果有多个玩家想接受要约，则优先级最高的玩家将获得要约。每个玩家的目的是使预期的总奖励最大化。对于以此方式定义的博弈，我们构建了纳什均衡。该构造基于最佳多次停车问题的解决方案。我们展示了游戏中纳什均衡中玩家的预期收益和停止时间与多重停止问题中最佳预期收益和最佳停止时间之间的联系。给出了游戏的帕累托最优。还证明了提出的纳什均衡是子博弈的完美纳什均衡。此外，纳什均衡收益是独特的。我们还提出了与多重停止问题有关的新结果。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号