IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v57y2014i2p279-302.html
   My bibliography  Save this article

Representation of constitutions under incomplete information

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-014-0816-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-014-0816-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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, December.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.
    2. Hans Gersbach & Stephan Imhof & Oriol Tejada, 2021. "Channeling the final say in politics: a simple mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 151-183, February.
    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.
    2. Caroline Berden & Hans Peters, 2006. "On the Effect of Risk Aversion in Bimatrix Games," Theory and Decision, Springer, vol. 60(4), pages 359-370, June.
    3. Peleg, Bezalel & Peters, Hans, 2009. "Nash consistent representation of effectivity functions through lottery models," Games and Economic Behavior, Elsevier, vol. 65(2), pages 503-515, March.
    4. Peters, H.J.M. & Schröder, M.J.W. & Vermeulen, A.J., 2013. "Ex post Nash consistent representation of effectivity functions," Research Memorandum 049, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. Agnieszka Rusinowska, 2013. "Bezalel Peleg and Hans Peters: Strategic Social Choice. Stable Representations of Constitutions, Studies in choice and welfare, Springer, 2010, 154 pp," Post-Print hal-00666816, HAL.
    6. Agnieszka Rusinowska, 2013. "Bezalel Peleg and Hans Peters: Strategic social choice. Stable representations of constitutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 631-634, February.
    7. 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.
    8. Christian Seidl, 1990. "On the impossibility of a generalization of the libertarian resolution of the liberal paradox," Journal of Economics, Springer, vol. 51(1), pages 71-88, February.
    9. Bezalel Peleg, 2002. "Complete Characterization of Acceptable Game Forms by Effectivity Functions," Discussion Paper Series dp283, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    10. Roy Gardner, 1980. "The strategic inconsistency of Paretian liberalism," Public Choice, Springer, vol. 35(2), pages 241-252, January.
    11. Alessandro Morselli, 2021. "Individual decisions and collective choices in the history of economic thought," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 3, pages 77-96,97-11.
    12. Roy Gardner, 1983. "Variation of the electorate: Veto and purge," Public Choice, Springer, vol. 40(3), pages 237-247, January.
    13. Peleg, Bezalel & Peters, Hans, 2017. "Choosing k from m: Feasible elimination procedures reconsidered," Games and Economic Behavior, Elsevier, vol. 103(C), pages 254-261.
    14. Ben McQuillin & Robert Sugden, 2011. "The representation of alienable and inalienable rights: games in transition function form," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 683-706, October.
    15. Stanley Reiter, 2001. "Interdependent Preferences and Groups of Agents," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(1), pages 27-67, January.
    16. Gonzalez, Stéphane & Lardon, Aymeric, 2021. "Axiomatic foundations of the core for games in effectiveness form," Mathematical Social Sciences, Elsevier, vol. 114(C), pages 28-38.
    17. Piacquadio Paolo G. & Di Bartolomeo Giovanni & Acocella Nicola, 2009. "A simple framework for investigating the properties of policy games," wp.comunite 0059, Department of Communication, University of Teramo.
    18. Keiding, Hans & Peleg, Bezalel, 2006. "On the continuity of representations of effectivity functions," Journal of Mathematical Economics, Elsevier, vol. 42(7-8), pages 827-842, November.
    19. Christian Seidl, 1986. "The impossibility of nondictatorial tolerance," Journal of Economics, Springer, vol. 46(1), pages 211-225, December.
    20. Mathieu Martin & Maurice Salles, 2013. "Social Choice And Cooperative Game Theory: Voting Games As Social Aggregation Functions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 1-17.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:57:y:2014:i:2:p:279-302. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.