Separation of Decisions in Group Identification
- Creators
- Miller, Alan D.
Abstract
We study a model of group identification in which individuals' opinions as to the membership of a group are aggregated to form a list of the group's members. Potential aggregation rules are studied through the axiomatic approach. We introduce two axioms, meet separability and join separability, each of which requires the list of members generated by the aggregation rule to be independent of whether the question of membership in a group is separated into questions of membership in two other groups. We use these axioms to characterize a class of "one vote" rules, in which one opinion determines whether an individual is considered to be a member of a group. We then use this characterization to provide new axiomatizations of the liberal rule, in which each individual determines for himself whether he is a member of the group, as the only non-degenerate anonymous rule satisfying the meet separability and join separability axioms.
Additional Information
Special thanks to Christopher P. Chambers and Dov Samet for their advice and encouragement while writing this paper. Helpful comments were also provided by Ken Binmore, Kim Border, Federico Echenique, Jon X Eguia, Philip T. Hoffman, Matias Iaryczower, R. Preston McAfee, Stuart McDonald, Kateryna Sydorova, Oscar Volij, Eyal Winter, Andriy Zapechelnyuk, and seminar participants at the California Institute of Technology and at the Second Israeli Game Theory Conference in Honor of Professor Yisrael Aumann. All errors are my own.Attached Files
Submitted - sswp1249.pdf
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Additional details
- Eprint ID
- 79746
- Resolver ID
- CaltechAUTHORS:20170802-101737968
- Created
-
2017-08-02Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Caltech groups
- Social Science Working Papers
- Series Name
- Social Science Working Paper
- Series Volume or Issue Number
- 1249