Differential Equation Approximations for Population Games using Elementary Probability

Autor: Kara, Semih, Martins, Nuno C.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv