Broom M, Cannings C, Vickers G T
School of Mathematics and Statistics, University of Sheffield, United Kingdom.
Math Biosci. 1996 Aug;136(1):21-33. doi: 10.1016/0025-5564(96)00024-7.
The notion of a pattern of evolutionarily stable strategies was introduced by Cannings and Vickers in 1988 (J. Theor. Biol. 132:387-420). In this paper a specific class of patterns is considered. Suppose that there is an evolutionarily stable strategy (ESS) on some set of n strategies {1,2,...,n} and that new strategies {n + 1,n + 2,...,n + k} are added. Supposing that for this new enlarged conflict there is still an ESS on {1,2,...,n} and also that there are ESSs on {n + i,j} for 1 < or = i < or = k and j epsilon Si [symbol: see text] {1,2,...,n}, the authors investigate the restrictions on the Si. These restrictions are related to certain properties of strong tournaments introduced by Reid and Beineke. We also specify, given the Si, what ESSs of the form {n + i,n + j} can be added.
进化稳定策略模式的概念由坎宁斯和维克斯于1988年提出（《理论生物学杂志》132:387 - 420）。在本文中，考虑了一类特定的模式。假设在某组n个策略{1,2,...,n}上存在一个进化稳定策略（ESS），并且添加了新策略{n + 1,n + 2,...,n + k}。假设对于这个新的扩大冲突，在{1,2,...,n}上仍然存在一个ESS，并且对于1≤i≤k且j∈Si⊆{1,2,...,n}，在{n + i,j}上也存在ESS，作者研究了对Si的限制。这些限制与里德和贝内克引入的强竞赛图的某些性质有关。我们还指定了，给定Si，何种形式为{n + i,n + j}的ESS可以被添加。
