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arXiv · 2312.07598

Differential Equation Approximations for Population Games using Elementary Probability

Semih Kara·Nuno C. Martins
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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.

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Semih Kara, Nuno C. Martins. 2023-12-11. Differential Equation Approximations for Population Games using Elementary Probability. https://arxiv.org/abs/2312.07598

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