Roca Carlos P, Cuesta José A, Sánchez Angel
Grupo Interdisciplinar de Sistemas Complejos, Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Madrid, Spain.
Phys Rev Lett. 2006 Oct 13;97(15):158701. doi: 10.1103/PhysRevLett.97.158701. Epub 2006 Oct 12.
Evolutionary game theory has traditionally assumed that all individuals in a population interact with each other between reproduction events. We show that eliminating this restriction by explicitly considering the time scales of interaction and selection leads to dramatic changes in the outcome of evolution. Examples include the selection of the inefficient strategy in the Harmony and Stag-Hunt games, and the disappearance of the coexistence state in the Snowdrift game. Our results hold for any population size and in more general situations with additional factors influencing fitness.
传统上,进化博弈论假定种群中的所有个体在繁殖事件之间相互作用。我们表明,通过明确考虑相互作用和选择的时间尺度来消除这一限制,会导致进化结果发生巨大变化。例子包括在“和谐”博弈和“猎鹿”博弈中低效策略的选择,以及在“雪堆”博弈中共存状态的消失。我们的结果适用于任何种群规模,以及在有其他影响适应性因素的更一般情况下。