Nash equilibria of quasisupermodular games
Year: 2024
Type: article
Abstract: We prove three results on the existence and the structure of Nash equilibria for quasisupermodular games. They all require certain continuity as assumption. The first result is purely order-theoretic, where we assume a continuity introduced by Shannon. The second continuity hypothesis is a mixture in the following sense. We require another order-theoretic continuity defined by Milgrom and Roberts, which we show to be only a half of Shannon's condition. As compensation, we also require a weak topological continuity proposed by Tian and Zhou. The last continuity supposition is purely topological, which is a slightly stronger continuity due to Tian and Zhou. The last theorem simultaneously generalizes Zhou's theorem on supermodular games and Calciano's theorem on quasisupermodular games.
Source: Operations Research Letters
Author: Lu Yu
Language: English
Topic: Game Theory and Applications
Field: Decision Sciences
Domain: Social Sciences
Open Access status: hybrid
Estimated APC paid: $2,870
OpenAlex ID: W4404726645