Differential Equation Approximations for Population Games using Elementary Probability

Semih Kara, Nuno C. Martins
12/11/2023
cs.GTcs.MAeess.SY

No confident code implementation found for this paper.

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.

View on arXivView PDF

Code Implementations

No confident code match yet

We couldn't find an author-owned or strongly-evidenced community implementation for this paper. Any repos shown below are weak matches — verify before relying on them.

No code implementations found yet.

Know of an implementation? Let us know in the comments below!

Similar Papers

Mean-field games among teams

86% match2023

Learning Discrete-Time Major-Minor Mean Field Games

84% match1 repo32023

Mean-Field Games with Constraints

84% match2025

A Category Theoretic Approach to Approximate Game Theory

83% match2025

Robust Mean-Field Games with Risk Aversion and Bounded Rationality

83% match2026

Regret Minimization in Population Network Games: Vanishing Heterogeneity and Convergence to Equilibria

83% match2025

Cite this paper

@article{kara2023differential,
  title  = {Differential Equation Approximations for Population Games using Elementary Probability},
  author = {Semih Kara and Nuno C. Martins},
  year   = {2023},
  eprint = {2312.07598},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2312.07598v1}
}

Add a badge to your README

Shows whether official code is linked for this paper.

Code of Paper badge
[![Code of Paper](https://codeofpaper.com/badge/2312.07598.svg)](https://codeofpaper.com/paper/2312.07598)

Discussion