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  • 标题:The Power Allocation Game on A Network: Computation Issue ⁎⁎
  • 本地全文:下载
  • 作者:Yuke Li ; Jiahua Yue ; Fengjiao Liu
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2018
  • 卷号:51
  • 期号:23
  • 页码:271-276
  • DOI:10.1016/j.ifacol.2018.12.047
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this paper two algorithms with the goal of generating the equilibrium set of the power allocation game first developed in Li and Morse [2017c] are proposed. Based on the first algorithm, the geometric property of the pure strategy Nash equilibrium set will be proven to be a collection of convex polytopes. The second, simulation-based, algorithm is developed to overcome the shortcoming of the first algorithm in terms of generating the equilibrium set efficiently and then making policy-relevant predictions based on the set. The second algorithm will be usefully applied to a real-world case study, which draws on the current crisis between North Korea and certain key players including the US and China.
  • 关键词:KeywordsNash equilibrium computationtotal orderbest responseconstraint satisfactionconvex polytope
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