Positive feedback in coordination games: Stochastic evolutionary dynamics and the logit choice rule

• 成果类型: Article
• 署名作者: Hwang, Sung-Ha; Rey-Bellet, Luc
• 署名单位: Korea Advanced Institute of Science & Technology (KAIST); University of Massachusetts System; University of Massachusetts Amherst
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2021.01.003
• 发表日期: 2021
• 页码: 355-373
• 关键词: Evolutionary games; Logit choice rules; positive feedback; Marginal bandwagon property; Exit problems; stochastic stability; Nash demand games; Nash bargaining solution

摘要

We study the problem of stochastic stability for evolutionary dynamics under the logit choice rule. We consider general classes of coordination games, symmetric or asymmetric, with an arbitrary number of strategies, which satisfies the marginal bandwagon property (i.e., there is positive feedback to coordinate). Our main result is that the most likely evolutionary escape paths from a status quo convention consist of a series of identical mistakes. As an application of our result, we show that the Nash bargaining solution arises as the long run convention for the evolutionary Nash demand game under the usual logit choice rule. We also obtain a new bargaining solution if the logit choice rule is combined with intentional idiosyncratic plays. The new bargaining solution is more egalitarian than the Nash bargaining solution, demonstrating that intentionality implies equality under the logit choice model. (C) 2021 Elsevier Inc. All rights reserved.