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- W2013992407 abstract "We consider n -person positional games with perfect information modeled by finite directed graphs that may have directed cycles, assuming that all infinite plays form a single outcome c , in addition to the standard outcomes a 1 , … , a m formed by the terminal positions. (For example, in the case of Chess or Backgammon n = 2 and c is a draw.) These m + 1 outcomes are ranked arbitrarily by n players. We study existence of (subgame perfect) Nash equilibria and improvement cycles in pure positional strategies and provide a systematic case analysis assuming one of the following conditions: (i) there are no random positions; (ii) there are no directed cycles; (iii) the ïnfinite outcome” c is ranked as the worst one by all n players; (iv) n = 2 ; (v) n = 2 and the payoff is zero-sum." @default.
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- W2013992407 date "2012-02-01" @default.
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- W2013992407 title "On Nash equilibria and improvement cycles in pure positional strategies for Chess-like and Backgammon-like <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si113.gif display=inline overflow=scroll><mml:mi>n</mml:mi></mml:math>-person games" @default.
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- W2013992407 doi "https://doi.org/10.1016/j.disc.2011.11.011" @default.
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