We study games with intransitive preferences that admit skew-symmetric representations. We introduce the notion of surrogate better-reply security for discontinuous skew-symmetric games and elucidate the relationship between surrogate better-reply security and other security concepts in the literature. We then prove existence of behavioral strategy equilibrium for discontinuous skew-symmetric games of incomplete information (and, in particular, existence of mixed-strategy equilibrium for discontinuous skew-symmetric games of complete information), generalizing extant results.
All Science Journal Classification (ASJC) codes
- Economics and Econometrics
- Bayesian game
- Behavioral strategy
- Discontinuous game
- Existence of Nash equilibrium
- Skew-symmetric game