Information Convergence and the Epistemic Foundations of Group Identification

39 Pages Posted: 27 Jun 2011 Last revised: 17 Jul 2011

See all articles by Lan-Yi Liu

Lan-Yi Liu

National Chung Hsing University - Department of Applied Mathematics

Date Written: June 27, 2011

Abstract

This paper considers a epistemic game-theoretic model of group identification which describes the evolving process of a collective action rule of the members in a social group. Group identity describes that the solutions to "who we are'' and "what we are'' questions among the members in a group. Given a social group consisting its members, the group identity is a common action rule with respect to their rival group. Under the assumption of interaction costs and results of information convergence, we construct a knowledge foundation for group identity and group identification. Our results show that under a finite state space, group identification can be implemented among in-group members via finite information revision steps if the two conditions hold: (1) the members of a group can communicate with each other for increasing their knowledge, and (2) there is a nonzero cost generating by the interaction between ingroup members and outsiders. Furthermore, we show that on a probability space, a generalized group identification is equivalent to a discrete-time martingale process, which permits that group identification can be reached under the infinite state space.

Keywords: Group identification, communication, epistemic game

JEL Classification: D70, D71, D83

Suggested Citation

Liu, Lan-Yi, Information Convergence and the Epistemic Foundations of Group Identification (June 27, 2011). Available at SSRN: https://ssrn.com/abstract=1873124 or http://dx.doi.org/10.2139/ssrn.1873124

Lan-Yi Liu (Contact Author)

National Chung Hsing University - Department of Applied Mathematics ( email )

402, No. 250 Kuo Kuang Road, Taiwan
Taichung, Taiwan
China

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