论文标题
相关个体的最佳联合分配包容性健身的努力
Optimal Joint Allocation of Efforts in Inclusive Fitness by Related Individuals
论文作者
论文摘要
家庭是情感与合作的场所，但也是冲突。罗伯特·L·特里弗（Robert L. Trivers）在他著名的纸质父亲源冲突中，建立在W. D. Hamilton的包容性适应性概念上，以争论父母之间的遗传冲突关系，并得出对冲突强度的数值预测。我们提出了一种游戏理论的数学模型，该模型描述了家庭的每个成员如何分配她的资源预算以最大程度地提高其包容性健身；后者是由个人健身的总和加上赖特（Wright）关系系数加权的亲戚健身的总和。我们将最佳分配概况定义为NASH均衡，并表征了资源预算功能，关系系数和个人健身系数的解决方案。
Families are places of affection and cooperation, but also of conflict. In his famous paper Parent-Offspring Conflict, Robert L. Trivers builds upon W. D. Hamilton's concept of inclusive fitness to argue for genetic conflict in parent-offspring relationships, and to derive numerical predictions on the intensity of the conflict. We propose a mathematical model of game theory that depicts how each member of a family allocates her resource budget to maximize her inclusive fitness; this latter is made of the sum of personal fitness plus the sum of relatives fitnesses weighted by Wright's coefficients of relationship. We define an optimal allocation profile as a Nash equilibrium, and we characterize the solutions in function of resource budgets, coefficients of relationship and derivatives of personal fitnesses.
