2020/11/17 by Michel De Lara, de Lara, Michel
Psychology · #Behavioral Health and Interventions #Computer Science and Game Theory (cs.GT) #Eating Disorders and Behaviors #Evolutionary Psychology and Human Behavior #FOS: Biological sciences #FOS: Computer and information sciences #FOS: Mathematics #Optimization and Control (math.OC) #Populations and Evolution (q-bio.PE)
paper · pdf · doi:10.48550/arxiv.2011.08565
openalex publication_date 2020/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.