Nash Equilibria on (Un)Stable Networks

Citation

Badev, Anton (2021). Nash Equilibria on (Un)Stable Networks. Econometrica. vol. 89 (3) pp. 1179-1206

Abstract

In response to a change, individuals may choose to follow the responses of their friends or, alternatively, to change their friends. To model these decisions, consider a game where players choose their behaviors and friendships. In equilibrium, players internalize the need for consensus in forming friendships and choose their optimal strategies on subsets of k players—a form of bounded rationality. The k-player consensual dynamic delivers a probabilistic ranking of a game's equilibria, and via a varying k, facilitates estimation of such games. Applying the model to adolescents' smoking suggests that: (a) the response of the friendship network to changes in tobacco price amplifies the intended effect of price changes on smoking, (b) racial desegregation of high schools decreases the overall smoking prevalence, (c) peer effect complementarities are substantially stronger between smokers compared to between nonsmokers.

URL

https://doi.org/10.3982/ECTA12576

Keyword(s)

Games on endogenous networks

Reference Type

Journal Article

Journal Title

Econometrica

Author(s)

Badev, Anton

Year Published

2021

Volume Number

89

Issue Number

3

Pages

1179-1206

DOI

10.3982/ECTA12576

Reference ID

5806