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Invoking a Cartesian product structure on social states

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  • Herrade Igersheim

Abstract

The purpose of this article is to introduce a Cartesian product structure into the social choice theoretical framework and to examine if new possibility results to Gibbard’s and Sen’s paradoxes can be developed thanks to it. We believe that a Cartesian product structure is a pertinent way to describe individual rights in the social choice theory since it discriminates the personal features comprised in each social state. First we define some conceptual and formal tools related to the Cartesian product structure. We then apply these notions to Gibbard’s paradox and to Sen’s impossibility of a Paretian liberal. Finally we compare the advantages of our approach to other solutions proposed in the literature for both impossibility theorems. Copyright Springer Science+Business Media New York 2013

Suggested Citation

  • Herrade Igersheim, 2013. "Invoking a Cartesian product structure on social states," Theory and Decision, Springer, vol. 74(4), pages 463-477, April.
    • Handle: RePEc:kap:theord:v:74:y:2013:i:4:p:463-477
    DOI: 10.1007/s11238-012-9300-0
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    More about this item

    Keywords

    Social choice; Sen’s Paretian liberal; Gibbard’s paradox; Individual rights; D63; D71;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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