Characterization of Nash equilibria of large games

2019 ◽  
Vol 85 ◽  
pp. 46-51
Author(s):  
Haifeng Fu ◽  
Bin Wu
Keyword(s):  
Nash Equilibria ◽  
Large Games

scholarly journals Approximation and characterization of Nash equilibria of large games

2020 ◽  
Author(s):  
Guilherme Carmona ◽  
Konrad Podczeck
Keyword(s):  
Nash Equilibrium ◽  
Nash Equilibria ◽  
Large Games ◽  
Finite Games ◽  
Continuum Of Players ◽  
The Relationship

Abstract We characterize Nash equilibria of games with a continuum of players in terms of approximate equilibria of large finite games. This characterization precisely describes the relationship between the equilibrium sets of the two classes of games. In particular, it yields several approximation results for Nash equilibria of games with a continuum of players, which roughly state that all finite-player games that are sufficiently close to a given game with a continuum of players have approximate equilibria that are close to a given Nash equilibrium of the non-atomic game.

Large Games: Robustness and Stability

2021 ◽  
Vol 13 (1) ◽  
Author(s):  
Ronen Gradwohl ◽  
Ehud Kalai
Keyword(s):  
Social Isolation ◽  
Online Publication ◽  
Nash Equilibria ◽  
Annual Review ◽  
Publication Date ◽  
Strategic Substitutes ◽  
Large Games

This review focuses on properties related to the robustness and stability of Nash equilibria in games with a large number of players. Somewhat surprisingly, these equilibria become substantially more robust and stable as the number of players increases. We illustrate the relevant phenomena through a binary-action game with strategic substitutes, framed as a game of social isolation in a pandemic environment. Expected final online publication date for the Annual Review of Economics, Volume 13 is August 2021. Please see http://www.annualreviews.org/page/journal/pubdates for revised estimates.

scholarly journals Ex-post stability of Bayes–Nash equilibria of large games

2012 ◽  
Vol 74 (1) ◽  
pp. 418-430 ◽  
Author(s):  
Guilherme Carmona ◽  
Konrad Podczeck
Keyword(s):  
Nash Equilibria ◽  
Large Games ◽  
Ex Post

Competitive Framing

2014 ◽  
Vol 6 (3) ◽  
pp. 35-58 ◽  
Author(s):  
Ran Spiegler
Keyword(s):  
Industrial Organization ◽  
Consumer Choice ◽  
Nash Equilibria ◽  
Market Competition ◽  
Behavioral Industrial Organization ◽  
Marketing Messages

I present a simple framework for modeling two-firm market competition when consumer choice is “frame-dependent,” and firms use costless “marketing messages” to influence the consumer’s frame. This framework embeds several recent models in the “behavioral industrial organization” literature. I identify a property that consumer choice may satisfy, which extends the concept of Weighted Regularity due to Piccione and Spiegler (2012), and provide a characterization of Nash equilibria under this property. I use this result to analyze the equilibrium interplay between competition and framing in a variety of applications. (JEL D43, D82, M31)

scholarly journals On the purification of Nash equilibria of large games

2004 ◽  
Vol 85 (2) ◽  
pp. 215-219 ◽  
Author(s):  
Guilherme Carmona
Keyword(s):  
Nash Equilibria ◽  
Large Games
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