SCIENCE CHINA Information Sciences, Volume 62 , Issue 1 : 012207(2019) https://doi.org/10.1007/s11432-017-9411-0

Symmetry-based decomposition of finite games

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  • ReceivedOct 28, 2017
  • AcceptedMar 5, 2018
  • PublishedDec 19, 2018



This work was supported by National Natural Science Foundation of China (Grant Nos. 61473099, 61273013, 61333001).


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  • Table 1   Payoff bi-matrix of rock-paper-scissors
    Rock PaperScissor
    Rock 0, 0 $-1$, 11, $-1$
    Paper 1, $-1$ 0, 0$-1$,$~1$
    Scissor $-1$,$~1$ 1, $-1$0, 0
  • Table 2   Payoff bi-matrix of matching pennies
    Heads Tails
    Heads 1, $-1$ $-1$, 1
    Tails $-1$,$~1$ 1, $-1$