I study a model of group identification in which individuals' opinions as to the membership of a group are aggregated to form a list of group members. Potential aggregation rules are studied through the axiomatic approach. I 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. I 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. I then show that the only anonymous one-vote rule is self-identification, in which each individual determines for himself whether he is a member of the group.
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- repec:ebl:ecbull:v:4:y:2006:i:4:p:1-6 is not listed on IDEAS
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Game Theory and Information
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"Individual powers and social consent: an axiomatic approach,"
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Springer, vol. 34(4), pages 571-596, April.
- Biung-Ghi Ju, 2005. "Individual Powers and Social Consent: An Axiomatic Approach," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200508, University of Kansas, Department of Economics, revised Mar 2005.
- Biung-Ghi Ju, 2007. "Individual Powers and Social Consent: An Axiomatic Approach," Discussion Paper Series 0717, Institute of Economic Research, Korea University.
- List, Christian & Pettit, Philip, 2002. "Aggregating Sets of Judgments: An Impossibility Result," Economics and Philosophy, Cambridge University Press, vol. 18(01), pages 89-110, April.
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