Best-response dynamics, playing sequences, and convergence to equilibrium in random games

Autor:	Heinrich, Torsten, Jang, Yoojin, Mungo, Luca, Pangallo, Marco, Scott, Alex, Tarbush, Bassel, Wiese, Samuel
Rok vydání:	2021
Předmět:	Economics - Theoretical Economics Mathematics - Combinatorics Nonlinear Sciences - Adaptation and Self-Organizing Systems
Druh dokumentu:	Working Paper
Popis:	We analyze the performance of the best-response dynamic across all normal-form games using a random games approach. The playing sequence -- the order in which players update their actions -- is essentially irrelevant in determining whether the dynamic converges to a Nash equilibrium in certain classes of games (e.g. in potential games) but, when evaluated across all possible games, convergence to equilibrium depends on the playing sequence in an extreme way. Our main asymptotic result shows that the best-response dynamic converges to a pure Nash equilibrium in a vanishingly small fraction of all (large) games when players take turns according to a fixed cyclic order. By contrast, when the playing sequence is random, the dynamic converges to a pure Nash equilibrium if one exists in almost all (large) games. Comment: JEL codes: C62, C72, C73, D83 Keywords: Best-response dynamics, equilibrium convergence, random games, learning models in games
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.04222 Zobrazit plný text záznamu View this record from Arxiv