We introduce capital games, which generalize the definition of standard games to incorporate dynamics. In capital games, payoffs are in units of capital which are not assumed to be units of utility. The dynamics allow us to infer player utilities from their individual payoffs and linearizable capital dynamics under the assumption that players aim to maximize the time-average growth rate of their capital.

翻译：我们引入了资本博弈，该模型将标准博弈的定义推广至包含动态过程的情形。在资本博弈中，收益以资本单位计量，且不预设资本单位与效用单位等价。通过假设参与者以最大化其资本的时间平均增长率为目标，该动态模型使我们能够从个体收益及可线性化的资本动态中推断参与者的效用函数。