IDEAS home Printed from https://ideas.repec.org/a/eee/matsoc/v41y2001i3p295-325.html
   My bibliography  Save this article

Ordering Pareto-optima through majority voting

Author

Listed:
  • Cres, Herve
  • Tvede, Mich

Abstract

A commodity is shared between some individuals: There is an initial allocation; some selection procedures are used to choose an alternative allocation and; individuals decide between keeping the initial allocation or shifting to the alternative allocation. The selection procedures are supposed to involve an element of randomness in order to reflect uncertainty about economic, social and political processes. It is shown that for every allocation, 8 , there exists a number, . (8) 0 "0,1› such that, if the number of individuals tends to infinity, then the probability that a proportion of the population smaller (resp. larger) than . (8) prefers an allocation chosen by the selection procedure converges to 1 (resp. 0). The index . (8) yields a complete order in the set of Pareto optimal allocations. Illustrations and interpretations of the selection procedures are provided.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Cres, Herve & Tvede, Mich, 2001. "Ordering Pareto-optima through majority voting," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 295-325, May.
    • Handle: RePEc:eee:matsoc:v:41:y:2001:i:3:p:295-325
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165-4896(00)00066-4
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Sven Berg, 1985. "Paradox of voting under an urn model: The effect of homogeneity," Public Choice, Springer, vol. 47(2), pages 377-387, January.
    2. Tovey, Craig A., 1997. "Probabilities of Preferences and Cycles with Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 271-279, August.
    3. Balasko, Yves, 1990. "Equivariant general equilibrium theory," Journal of Economic Theory, Elsevier, vol. 52(1), pages 18-44, October.
    4. Cres, Herve, 1996. "Symmetric Smooth Consumption Externalities," Journal of Economic Theory, Elsevier, vol. 69(2), pages 334-366, May.
    5. Martin J. Osborne & Ariel Rubinstein, 2005. "Bargaining and Markets," Levine's Bibliography 666156000000000515, UCLA Department of Economics.
    6. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    7. Malinvaud, E, 1973. "Markets for an Exchange Economy with Individual Risks," Econometrica, Econometric Society, vol. 41(3), pages 383-410, May.
    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. repec:hal:spmain:info:hdl:2441/10284 is not listed on IDEAS
    2. repec:spo:wpecon:info:hdl:2441/10284 is not listed on IDEAS
    3. Hervé Crès, 2000. "Majority Stable Production Equilibria: A Multivariate Mean Shareholders Theorem," SciencePo Working papers Main hal-01064883, HAL.
    4. Hervé Crès, 2000. "Majority Stable Production Equilibria: A Multivariate Mean Shareholders Theorem," Working Papers hal-01064883, HAL.
    5. Cres, Herve & Rossi, Isabelle, 2000. "Symmetry breakings in Malinvaud's model with individual risks," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 239-269, March.
    6. repec:spo:wpmain:info:hdl:2441/10284 is not listed on IDEAS
    7. Hervé Crès, 2000. "Majority Stable Production Equilibria: A Multivariate Mean Shareholders Theorem," SciencePo Working papers hal-01064883, HAL.
    8. repec:hal:wpspec:info:hdl:2441/10284 is not listed on IDEAS

    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. Cres, Herve & Rossi, Isabelle, 2000. "Symmetry breakings in Malinvaud's model with individual risks," Journal of Mathematical Economics, Elsevier, vol. 33(2), pages 239-269, March.
    2. HEIFETZ, Aviad & MINELLI, Enrico & POLEMARCHAKIS, Heracles, 1999. "Arbitrage and equilibrium with exchangeable risks," LIDAM Discussion Papers CORE 1999046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. repec:hal:spmain:info:hdl:2441/10274 is not listed on IDEAS
    4. Balasko, Yves, 1999. "Markets for Composite Goods," Journal of Economic Theory, Elsevier, vol. 88(2), pages 310-339, October.
    5. Bhattacharya, Joydeep & Guzman, Mark G. & Shell, Karl, 1998. "Price Level Volatility: A Simple Model of Money Taxes and Sunspots," Journal of Economic Theory, Elsevier, vol. 81(2), pages 401-430, August.
    6. Aditya Goenka, 2004. "Non-Fungibility and Mental Accounting: A Model of Bounded Rationality with Sunspot," Econometric Society 2004 Australasian Meetings 234, Econometric Society.
    7. repec:spo:wpmain:info:hdl:2441/10274 is not listed on IDEAS
    8. Hervé Crès, 1996. "Symmetric Smooth Consumption Externalities," Post-Print hal-03598166, HAL.
    9. Aditya Goenka & Stefano Matta, 2008. "Manipulation of endowments and sunspot equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 267-282, August.
    10. Guo, Jang-Ting & Lansing, Kevin J., 1998. "Indeterminacy and Stabilization Policy," Journal of Economic Theory, Elsevier, vol. 82(2), pages 481-490, October.
    11. Winkler, Bernhard, 2000. "Which kind of transparency? On the need for clarity in monetary policy-making," Working Paper Series 0026, European Central Bank.
    12. Mueller, Hannes & Rauh, Christopher, 2018. "Reading Between the Lines: Prediction of Political Violence Using Newspaper Text," American Political Science Review, Cambridge University Press, vol. 112(2), pages 358-375, May.
    13. John Geanakoplos, 2008. "Overlapping Generations Models of General Equilibrium," Cowles Foundation Discussion Papers 1663, Cowles Foundation for Research in Economics, Yale University.
    14. Song Han & Dan Li, 2009. "Liquidity, runs, and security design: lessons from the collapse of the auction rate municipal bond market," Proceedings, Federal Reserve Bank of San Francisco, issue Jan.
    15. Di Bella, Gabriel & Grigoli, Francesco, 2019. "Optimism, pessimism, and short-term fluctuations," Journal of Macroeconomics, Elsevier, vol. 60(C), pages 79-96.
    16. Robert M. Solow, 2000. "La teoria neoclassica della crescita e della distribuzione," Moneta e Credito, Economia civile, vol. 53(210), pages 149-185.
    17. Farmer, Roger E. A. & Jang-Ting, Guo, 1995. "The econometrics of indeterminacy: an applied study," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 225-271, December.
    18. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
    19. Guillaume Rocheteau & Pierre‐Olivier Weill, 2011. "Liquidity in Frictional Asset Markets," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s2), pages 261-282, October.
    20. Hippolyte D'Albis & Emmanuelle Augeraud-Veron, 2008. "Endogenous Retirement and Monetary Cycles," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 214-229.
    21. Wen Li Cheng & Jeffrey Sachs & Xiaokai Yang, 2005. "An Inframarginal Analysis Of The Ricardian Model," World Scientific Book Chapters, in: An Inframarginal Approach To Trade Theory, chapter 6, pages 87-107, World Scientific Publishing Co. Pte. Ltd..
    22. repec:hal:wpspec:info:hdl:2441/10286 is not listed on IDEAS
    23. Rod Garratt & Todd Keister & Karl Shell, 2004. "Comparing Sunspot Equilibrium And Lottery Equilibrium Allocations: The Finite Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 351-386, May.

    More about this item

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    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:eee:matsoc:v:41:y:2001:i:3:p:295-325. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505565 .

    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.