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Representation of constitutions under incomplete information

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  • Bezalel Peleg
  • Shmuel Zamir

Abstract

We model constitutions by effectivity functions. We assume that the constitution is common knowledge among the members of the society. However, the preferences of the citizens are private information. We investigate whether there exist decision schemes (i.e., functions that map profiles of (dichotomous) preferences on the set of outcomes to lotteries on the set of social states), with the following properties: (i) The distribution of power induced by the decision scheme is identical to the effectivity function under consideration; and (ii) the (incomplete information) game associated with the decision scheme has a Bayesian Nash equilibrium in pure strategies. If the effectivity function is monotonic and superadditive, then we find a class of decision schemes with the foregoing properties. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Bezalel Peleg & Shmuel Zamir, 2014. "Representation of constitutions under incomplete information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 279-302, October.
    • Handle: RePEc:spr:joecth:v:57:y:2014:i:2:p:279-302
    DOI: 10.1007/s00199-014-0816-0
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    References listed on IDEAS

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    1. Hans Keiding & Bezalel Peleg, 2006. "Binary effectivity rules," Review of Economic Design, Springer;Society for Economic Design, vol. 10(3), pages 167-181, December.
    2. Bezalel Peleg & Hans Peters, 2010. "Strategic Social Choice," Studies in Choice and Welfare, Springer, number 978-3-642-13875-1, June.
    3. Peleg, Bezalel & Peters, Hans & Storcken, Ton, 2002. "Nash consistent representation of constitutions: a reaction to the Gibbard paradox," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 267-287, March.
    4. Gibbard, Allan, 1974. "A Pareto-consistent libertarian claim," Journal of Economic Theory, Elsevier, vol. 7(4), pages 388-410, April.
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    Cited by:

    1. Bezalel Peleg & Ron Holzman, 2017. "Representations of Political Power Structures by Strategically Stable Game Forms: A Survey," Games, MDPI, vol. 8(4), pages 1-17, October.
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    3. Hans Peters & Marc Schröder & Dries Vermeulen, 2015. "On existence of ex post Nash consistent representation for effectivity functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 287-307, September.

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    More about this item

    Keywords

    Effectivity function; Incomplete information; Decision scheme; Bayesian Nash equilibrium; C62; C70; D82;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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