Rowe G W
Department of Mathematical Sciences, University of Dundee, U.K.
J Theor Biol. 1988 Sep 9;134(1):89-101. doi: 10.1016/s0022-5193(88)80304-7.
A dynamic game theory model is presented for a diploid system in which each genotype corresponds to a different strategy. The population mates randomly and the strategy, which is determined by a single locus, is expressed only in the male. A general analytic solution for any number of alleles does not appear to be possible, but the cases of two and three alleles are treated in detail. A stability analysis applicable to any number of alleles is presented, so that any equilibria located by numerical methods can be checked for local stability. Computer programs for doing all of these calculations are available from the author.
提出了一个针对二倍体系统的动态博弈论模型，其中每种基因型对应一种不同的策略。群体随机交配，由单个基因座决定的策略仅在雄性中表达。对于任意数量的等位基因，似乎不可能得到一般的解析解，但详细处理了两个和三个等位基因的情况。给出了适用于任意数量等位基因的稳定性分析，以便可以检查通过数值方法找到的任何平衡点的局部稳定性。作者可提供用于进行所有这些计算的计算机程序。
