The path integral formula for the stochastic evolutionary game dynamics in the Moran process
Year: 2022
Type: preprint
Abstract: The Moran process is one of an basic mathematical structure in the evolutionary game theory. In this work, we introduce the formulation of the path integral approach for evolutionary game theory based on the Moran process. We derive the transition probability by the path integral from the initial state to the final state with updating rule of the Moran process. In this framework, the transition probability is the sum of all the evolutionary paths. The path integral formula of the transition probability maybe expected to be a new mathematical tool to explore the stochastic game evolutionary dynamics.
Source: arXiv (Cornell University)
Author: Wang, Chao
Institution: Northwestern Polytechnical University
Language: English
Subfield: Sociology and Political Science
Field: Social Sciences
Domain: Social Sciences
Open Access status: green
Award: G3609635465
OpenAlex ID: W4294789475