An option-theoretic model of a reputation network

IF 1.3 4区 社会学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
K. Sawyer, André F. Gygax
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引用次数: 3

Abstract

ABSTRACT This paper constructs a new theory of social networks based on reputation. The model assumes that reputation is an asset and that individuals connect by buying options on the reputation of others. In networking, individuals construct portfolios of call options to leverage the reputations of others and put options to hedge the connections with others. A network then consists of portfolios of reputation options. The option model confers advantages not present in existing models. First, the payoff to connecting is the payoff on a portfolio of reputation options. Second, the network forms as individuals take option positions; the network evolves as individuals adjust those positions. Third, networking strategies become option strategies. The model allows for insights into network structure, the price of connecting and the value of connecting.
信誉网络的期权理论模型
摘要本文构建了一个新的基于声誉的社交网络理论。该模型假设声誉是一种资产,个人通过购买他人声誉的期权来建立联系。在网络中,个人构建看涨期权投资组合,以利用他人的声誉,并看跌期权来对冲与他人的联系。然后,网络由声誉选项的投资组合组成。期权模式带来了现有模式所没有的优势。首先,连接的回报是声誉期权组合的回报。第二,网络是随着个人采取选择立场而形成的;网络随着个人调整这些位置而演变。第三,网络策略变成了选择策略。该模型允许深入了解网络结构、连接的价格和连接的价值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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