Paper ID: 2312.07598

Differential Equation Approximations for Population Games using Elementary Probability

Semih Kara, Nuno C. Martins

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.

Submitted: Dec 11, 2023