A new proof for the existence of Nash equilibrium
We present a new proof for the existence of a Nash equilibrium, which involves no fixed point theorem. The self-contained proof consists of two parts. The first part introduces the notions of root function and pre-equilibrium. The second part shows the existence of pre-equilibria and Nash equilibria.
Code (0)
등록된 구현이 없습니다.
Similar Papers 제목 키워드 기반
On Existence of Berk-Nash Equilibria in Misspecified Markov Decision Processes with Infinite Spaces
Model misspecification is a critical issue in many areas of theoretical and empirical economics. In the specific context of misspecified Markov Decision Processes, Esponda and Pouzo (2021) defined the notion of Berk-Nash…
New Results on Equilibria in Strategic Candidacy
We consider a voting setting where candidates have preferences about the outcome of the election and are free to join or leave the election. The corresponding candidacy game, where candidates choose strategically to part…
On the existence of pure epsilon-equilibrium
We show that for any $\epsilon>0$, as the number of agents gets large, the share of games that admit a pure $\epsilon$-equilibrium converges to 1. Our result holds even for pure $\epsilon$-equilibrium in which all agents…
On the Nash equilibrium of moment-matching GANs for stationary Gaussian processes
Generative Adversarial Networks (GANs) learn an implicit generative model from data samples through a two-player game. In this paper, we study the existence of Nash equilibrium of the game which is consistent as the numb…
Gaussian ProcessesNash Equilibria in Games with Playerwise Concave Coupling Constraints: Existence and Computation
We study the existence and computation of Nash equilibria in concave games where the players' admissible strategies are subject to shared coupling constraints. Under playerwise concavity of constraints, we prove existenc…