English

Monotonicity and Bracketing in Games

Theoretical Economics 2025-09-30 v2

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.

Keywords

Cite

@article{arxiv.2502.11243,
  title  = {Monotonicity and Bracketing in Games},
  author = {Fedor Sandomirskiy and Po Hyun Sung and Omer Tamuz and Ben Wincelberg},
  journal= {arXiv preprint arXiv:2502.11243},
  year   = {2025}
}
R2 v1 2026-06-28T21:46:12.266Z