Equilibrium existence in games with ties

W Olszewski, R Siegel - Theoretical Economics, 2023 - Wiley Online Library
We provide conditions that simplify applying Reny's (1999) better‐reply security to Bayesian
games and use these conditions to prove the existence of equilibria for classes of games in …

[HTML][HTML] Asymmetric auctions: Perturbations, ε-equilibrium, and equilibrium

GVA Dharanan, A Ellis - Games and Economic Behavior, 2024 - Elsevier
We consider first-price auctions with independent and private valuations that have
asymmetric valuation distributions and supports. We first show the existence of equilibrium …

On nondegenerate equilibria of double auctions with several buyers and a price floor

P Prokopovych, NC Yannelis - Economic Theory, 2022 - Springer
This paper investigates the existence of a nondegenerate pure-strategy Bayesian-Nash
equilibrium in a double auction between one seller and several heterogeneous buyers in …

[HTML][HTML] On monotone pure-strategy Bayesian-Nash equilibria of a generalized contest

P Prokopovych, NC Yannelis - Games and Economic Behavior, 2023 - Elsevier
We introduce a new approach to studying the existence of a monotone pure-strategy
Bayesian-Nash equilibrium in an n-player single-prize contest model that covers both …

Characterization of equilibrium existence and purification in general Bayesian games

W He, X Sun, Y Sun, Y Zeng - arXiv preprint arXiv:2106.08563, 2021 - arxiv.org
This paper studies Bayesian games with general action spaces, correlated types and
interdependent payoffs. We introduce the condition of``decomposable coarser payoff …

Discontinuous stochastic games

W He - Economic Theory, 2022 - Springer
We prove for a large class of stochastic games with discontinuous payoffs, a stationary
Markov perfect equilibrium exists under the condition of “continuation payoff security.” This …

On the existence of equilibrium in Bayesian games without complementarities

I Meneghel, R Tourky - 2020 - papers.ssrn.com
This paper presents new results on the existence of Bayesian equilibria in pure strategies of
a specified functional form. These results broaden the scope of methods developed by Reny …

Equilibria in infinite games of incomplete information

O Carbonell-Nicolau - International Journal of Game Theory, 2021 - Springer
The notion of communication equilibrium extends Aumann's (J Math Econ 1: 67–96, 1974,
https://doi. org/10.1016/0304-4068 (74) 90037-8) correlated equilibrium concept for …

Perfect equilibria in games of incomplete information

O Carbonell-Nicolau - Economic Theory, 2021 - Springer
This paper extends Selten's (Int J Game Theory 4: 25–55, 1975) notion of perfection to
normal-form games of incomplete information and provides conditions on the primitives of a …