非均匀演化动力学下的分布稳定性与确定性平衡选择
Distributional stability and deterministic equilibrium selection under heterogeneous evolutionary dynamics
摘要：
在持续的收益异质性的存在下，聚合策略的演变极大地依赖于许多进化动态下的基本策略组成，而在标准BRD下的聚合动态减少到均匀平滑BRD，其中持续的收益异质性平均为均匀的瞬时收益冲击。在本文中，我们考虑异质种群中的确定性演化动力学，并通过对持久支付异质性施加鲁棒性来发展更强的局部稳定性概念。它是已知的，nonaggregability持有一般，如果在一个给定的进化动态的切换率相关的回报增益开关。参数化的回报灵敏度的进化动态，我们建议使用回火最佳响应动态切换成本的有界支持。
英文摘要：
In the presence of persistent payoff heterogeneity, the evolution of the aggregate strategy hugely depends on the underlying strategy composition under many evolutionary dynamics, while the aggregate dynamic under the standard BRD reduces to a homogenized smooth BRD, where persistent payoff heterogeneity averages to homogeneous transitory payoff shocks. In this paper, we consider deterministic evolutionary dynamics in heterogeneous population and develop the stronger concept of local stability by imposing robustness to persistent payoff heterogeneity. It is known that nonaggregability holds generically if the switching rate in a given evolutionary dynamic correlates with the payoff gain from a switch. To parameterize the payoff sensitivity of an evolutionary dynamic, we propose to use tempered best response dynamics with bounded support of switching costs.
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