5 papers
Nonexchangeable logit dynamics with cost constraints: different viewpoints and numerical analysis
Hidekazu Yoshioka, Tomohiro Tanaka
The logit dynamic, a nonlinear dynamical system, subject to a const constraint with heterogeneous agents is formulated, and its well-posedness is studied from both agent-based (sto…
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…
A rate-induced tipping in the Pearson diffusion
Hidekazu Yoshioka
Rate-induced tipping is an instability that occurs in a system when its time-dependent rate parameter becomes larger than a threshold value. We investigate a Pearson diffusion proc…
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…
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…