Generalized logit dynamic defines a time-dependent integro-differential equation with which a Nash equilibrium of an iterative game in a bounded and continuous action space is expected to be approximated. We show that the use of the exponential logit function is essential for the approximability, which will not be necessarily satisfied with functions with convex exponential-like functions such as q-exponential ones. We computationally analyze this issue and discuss influences of the choice of the logit function through an application to a fishing tourism problem in Japan.

翻译：广义逻辑动态定义了一个时间依赖的积分-微分方程，期望通过该方程逼近有界连续行动空间中迭代博弈的纳什均衡。我们证明，指数逻辑函数的使用对于可逼近性至关重要，而诸如q-指数函数等具有凸指数型特征的函数未必能满足该条件。我们通过计算分析这一问题，并以日本渔业旅游问题为例，探讨逻辑函数选择的影响。