4 papers
Pólya urn with memory kernel and asymptotic behaviours of autocorrelation function
Shintaro Mori, Masato Hisakado, Kazuaki Nakayama
Pólya urn is a stochastic process in which balls are randomly drawn from an urn of red and blue balls, and balls of the same color as the drawn balls are added. The probability of…
Universal function of the non-equilibrium phase transition of nonlinear Pólya urn
Kazuaki Nakayama, Shintaro Mori
We study the phase transition and the critical properties of a nonlinear Pólya urn, which is a simple binary stochastic process with a feedback mechani…
Optimal Learning Dynamics of Multi Agents in Restless Multiarmed Bandit Game
Kazuaki Nakayama, Ryuzo Nakamura, Masato Hisakado +1
Social learning is learning through the observation of or interaction with other individuals; it is critical in the understanding of the collective behaviors of humans in social ph…
A voter model on networks and multivariate beta distribution
Shintaro Mori, Masato Hisakado, Kazuaki Nakayama
In elections, the vote shares or turnout rates show a strong spatial correlation. The logarithmic decay with distance suggests that a 2D noisy diffusive equation describes the syst…