Department of Computer Science, University of Bristol, BS8 1UB, UK.
J Theor Biol. 2009 Oct 7;260(3):386-91. doi: 10.1016/j.jtbi.2009.07.008. Epub 2009 Jul 16.
We consider a social game with two choices, played between two relatives, where roles are assigned to individuals so that the interaction is asymmetric. Behaviour in each of the two roles is determined by a separate genetic locus. Such asymmetric interactions between relatives, in which individuals occupy different behavioural contexts, may occur in nature, for example between adult parents and juvenile offspring. The social game considered is known to be equivalent to a donation game with non-additive payoffs, and has previously been analysed for the single locus case, both for discrete and continuous strategy traits. We present an inclusive fitness analysis of the discrete trait game with roles and recover equilibrium conditions including fixation of selfish or altruistic behaviour under both behavioural contexts, or fixation of selfish behaviour under one context and altruistic behaviour under the other context. These equilibrium solutions assume that the payoff matrices under each behavioural context are identical. The equilibria possible do depend crucially, however, on the deviation from payoff additivity that occurs when both interacting individuals act altruistically.
我们考虑了一种具有两种选择的社会博弈，由两个亲属之间进行，其中角色被分配给个人，从而使互动是不对称的。在两个角色中的每一个角色中的行为都由一个单独的遗传基因座决定。这种亲属之间的不对称相互作用，其中个体占据不同的行为环境，可能在自然界中发生，例如在成年父母和幼年后代之间。所考虑的社会博弈与非加性收益的捐赠博弈相当，并且之前已经对单基因座情况进行了分析，包括离散和连续策略特征。我们对具有角色的离散特征游戏进行了适合度综合分析，并恢复了平衡条件，包括在两种行为环境下自私或利他行为的固定，或者在一种行为环境下自私行为的固定和在另一种行为环境下利他行为的固定。这些平衡解假设在每个行为环境下的收益矩阵是相同的。然而，当两个相互作用的个体都表现出利他行为时，发生的收益加性偏差会极大地影响可能的平衡解决方案。
