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Simple Social Choice Rules for Exchange

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Abstract

We study the classical problem of trade in two-dimensional Euclidean space. It is known that there is no efficient rule for this model that is compatible with dominant strategy incentives, that is, there is no efficient and strategy-proof rule. We observe that, in addition to incentive constraints, informational constraints are also unavoidable for social planners. Thus, we impose the requirement that finite dimensional messages be sufficient information to realize a rule. In addition, we impose the minimal fairness axioms of anonymity and a weakening of non-bossiness, as well as continuity. The result is a class of rules that is similar to those characterized by Barberà and Jackson ["Strategy-proof exchange", Econometrica, 63 (1995), 51-87].

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  • Tierney, Ryan, 2021. "Simple Social Choice Rules for Exchange," Discussion Papers on Economics 4/2021, University of Southern Denmark, Department of Economics.
    • Handle: RePEc:hhs:sdueko:2021_004
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    More about this item

    Keywords

    Strategy-proof exchange; communication complexity;

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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