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  • 标题:An Algebraic Geometry Approach to Compute Strategically Equivalent Bimatrix Games * * This work is partially supported by the U.S. Army Research Laboratory and the U.S. Office of Naval Research under MURI grant No. N00014-16-1-2710
  • 本地全文:下载
  • 作者:Corrado Possieri ; Joao P. Hespanha
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2017
  • 卷号:50
  • 期号:1
  • 页码:6116-6121
  • DOI:10.1016/j.ifacol.2017.08.2019
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this paper, a class of bimatrix games having the same Nash equilibria of a given game, either in pure or in mixed policies, is characterized. Such a goal is reached by computing the set of all the polynomials that are monotone strictly increasing in a given interval and by borrowing techniques from algebraic geometry to find solutions to a set of polynomial equalities.
  • 关键词:KeywordsGame theoryNash gamesAlgebraic approachesComputational methods
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