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  • 标题:Admissiblity in Concurrent Games
  • 本地全文:下载
  • 作者:Nicolas Basset ; Gilles Geeraerts ; Jean-Fran{\c{c}}ois Raskin
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2017
  • 卷号:80
  • 页码:123:1-123:14
  • DOI:10.4230/LIPIcs.ICALP.2017.123
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:In this paper, we study the notion of admissibility for randomised strategies in concurrent games. Intuitively, an admissible strategy is one where the player plays 'as well as possible', because there is no other strategy that dominates it, i.e., that wins (almost surely) against a superset of adversarial strategies. We prove that admissible strategies always exist in concurrent games, and we characterise them precisely. Then, when the objectives of the players are omega-regular, we show how to perform assume-admissible synthesis, i.e., how to compute admissible strategies that win (almost surely) under the hypothesis that the other players play admissible strategies only.
  • 关键词:Multi-player games; admissibility; concurrent games; randomized strategies
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