The survival of inefficient and efficient norms: Equilibria with and without meta-norms in a repeated norm enforcing game

IF 1.3 4区 社会学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Mathematical Sociology Pub Date : 2018-08-10 DOI:10.1080/0022250X.2017.1390745
Yosuke Kira
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引用次数: 1

Abstract

ABSTRACT Although meta-norms have been considered as the key to sustaining cooperation norms, this study argues that the meta-norms also facilitate the survival of inefficient norms. The opportunistic norm violation strategy is proposed as an alternative mechanism to motivate costly punishments. A repeated norm enforcing game, in which the externality of the normative action can be negative or positive, is analyzed. This game is equivalent to a social dilemma if the externality is large enough. The ranges of externalities that support tit-for-tat, meta-norm, and opportunism equilibria are compared. The meta-norm equilibrium has the highest stability; however, it can persist in negative externalities. Finally, the opportunism equilibrium is more stable than the tit-for-tat equilibrium, but it breaks down when the externality is small.
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低效和高效规范的生存:重复规范执行游戏中有无元规范的平衡
虽然元规范被认为是维持合作规范的关键,但本研究认为元规范也促进了低效规范的生存。提出了机会主义违反规范策略作为激励代价高昂的惩罚的替代机制。本文分析了一个重复规范强制博弈,其中规范行为的外部性可以是消极的,也可以是积极的。如果外部性足够大,这个游戏就相当于一个社会困境。比较了支持以牙还牙、元规范和机会主义均衡的外部性范围。元规范均衡具有最高的稳定性;然而,它可能持续存在负外部性。最后,机会主义均衡比以牙还牙均衡更稳定,但当外部性较小时,机会主义均衡就会崩溃。
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来源期刊
Journal of Mathematical Sociology
Journal of Mathematical Sociology 数学-数学跨学科应用
CiteScore
2.90
自引率
10.00%
发文量
5
审稿时长
>12 weeks
期刊介绍: The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered. The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.
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