If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a (pure strategy) Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibria can be reached after a finite number of individual improvements.
机构:
College of Electrical and Information Engineering, Hunan University, Changsha,410082, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha,410082, China
Tan, Shaolin
Wang, Yaonan
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机构:
College of Electrical and Information Engineering, Hunan University, Changsha,410082, ChinaCollege of Electrical and Information Engineering, Hunan University, Changsha,410082, China
机构:
Waseda Univ, Fac Polit Sci & Econ, Shinjuku Ku, 1-6-1 Nishi Waseda, Tokyo 1698050, JapanWaseda Univ, Fac Polit Sci & Econ, Shinjuku Ku, 1-6-1 Nishi Waseda, Tokyo 1698050, Japan