Differential Equation Approximations for Population Games using Elementary Probability
Computer Science and Game Theory
2023-12-14 v1 Multiagent Systems
Systems and Control
Systems and Control
Dynamical Systems
Probability
Applications
Abstract
Population games model the evolution of strategic interactions among a large number of uniform agents. Due to the agents' uniformity and quantity, their aggregate strategic choices can be approximated by the solutions of a class of ordinary differential equations. This mean-field approach has found to be an effective tool of analysis. However its current proofs rely on advanced mathematical techniques, making them less accessible. In this article, we present a simpler derivation, using only undergraduate-level probability.
Keywords
Cite
@article{arxiv.2312.07598,
title = {Differential Equation Approximations for Population Games using Elementary Probability},
author = {Semih Kara and Nuno C. Martins},
journal= {arXiv preprint arXiv:2312.07598},
year = {2023}
}