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Combinatorial Aspects of Parker’s Model

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  • Chris Cannings

Abstract

Parker’s model under rare mutation is considered when there is a finite set of available strategies. The question of when all of those strategies are present in the stationary distribution, i.e., the Markov chain is irreducible, is addressed, via graph theoretic and combinatorial entities. Specific cases for $$n=3,4,5,6$$ n = 3 , 4 , 5 , 6 are addressed, in the first three cases all the feasible cases are specified, and for $$n=6$$ n = 6 a superset of the feasible cases (possibly the set itself) is given. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Chris Cannings, 2015. "Combinatorial Aspects of Parker’s Model," Dynamic Games and Applications, Springer, vol. 5(2), pages 263-274, June.
    • Handle: RePEc:spr:dyngam:v:5:y:2015:i:2:p:263-274
    DOI: 10.1007/s13235-014-0103-5
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    Cited by:

    1. D. Timothy Bishop & Mark Broom & Richard Southwell, 2020. "Chris Cannings: A Life in Games," Dynamic Games and Applications, Springer, vol. 10(3), pages 591-617, September.

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