Monotonicity and Bracketing in Games

Fedor Sandomirskiy, Po Hyun Sung, Omer Tamuz, Ben Wincelberg

Published: 2025/2/16

Abstract

We study solution concepts for normal-form games. We obtain a characterization of Nash equilibria and logit quantal response equilibria, as well as generalizations capturing non-expected utility. Our axioms reflect that players are responsive to payoffs induced by the play of others and, whenever several games are played simultaneously, players may consider each separately.