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math.OC2026
Forward-looking evolutionary game dynamics subject to exploration cost
Hidekazu Yoshioka
We extend classical evolutionary game dynamics based on the momentary action choices of agents by accounting for two elements: forward-looking behavior and exploration cost. We foc…
math.OC2025
Non-exchangeable evolutionary and mean field games and their applications
H. Yoshioka, M. Tsujimura, T. Tanaka
A replicator dynamic for non-exchangeable agents in a continuous action space is formulated and its well-posedness is proven in a space of probability measures. The non-exchangeabi…
math.OC2024★ 1 cited
Generalized replicator dynamics based on mean-field pairwise comparison dynamic
Hidekazu Yoshioka
The pairwise comparison dynamic is a forward ordinary differential equation in a Banach space whose solution is a time-dependent probability measure to maximize utility based on a…