IDEAS home Printed from https://ideas.repec.org/p/cde/cdewps/12.html
   My bibliography  Save this paper

Coalitional Power Structure In Stochastic Social Choice Functions With An Unrestricted Preference Domain

Author

Listed:
  • Shasikanta Nandeibam

    (Delhi School of Economics)

Abstract

When the individuals in Pattanaik and Peleg [16] are permitted to have weak preference orders, we show that: (I) as in their paper, theft) is a unique weight for each coalition; and (ii) for each feasible proper subset of the universal set and each preference profile, UH.~ society call be partitioned, so that, the weight of each coalition in this partition gives the probability of choosing some alternative which is best in tile feasible set for at least one individual in the coalition. When the universal set is the feasible set, our result still hold provided certain additional condition are satisfied. Journal of Economic literature' Classification Number: D71

Suggested Citation

  • Shasikanta Nandeibam, 1994. "Coalitional Power Structure In Stochastic Social Choice Functions With An Unrestricted Preference Domain," Working papers 12, Centre for Development Economics, Delhi School of Economics.
  • Handle: RePEc:cde:cdewps:12
    as

    Download full text from publisher

    File URL: http://www.cdedse.org/pdf/work12.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gibbard, Allan, 1977. "Manipulation of Schemes That Mix Voting with Chance," Econometrica, Econometric Society, vol. 45(3), pages 665-681, April.
    2. Pattanaik, Prasanta K & Peleg, Bezalel, 1986. "Distribution of Power under Stochastic Social Choice Rules," Econometrica, Econometric Society, vol. 54(4), pages 909-921, July.
    3. McLennan, Andrew, 1980. "Randomized preference aggregation: Additivity of power and strategy proofness," Journal of Economic Theory, Elsevier, vol. 22(1), pages 1-11, February.
    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. Bishwanath Goldar & Badal Mukherji, 1998. "Pollution Abatement Cost Function: Methodological And Estimation Issues," Working papers 56, Centre for Development Economics, Delhi School of Economics.

    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. Salvador Barberà, 2010. "Strategy-proof social choice," Working Papers 420, Barcelona School of Economics.
    2. Barbera, Salvador & Bogomolnaia, Anna & van der Stel, Hans, 1998. "Strategy-proof probabilistic rules for expected utility maximizers," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 89-103, March.
    3. Chambers, Christopher P., 2009. "An axiomatic theory of political representation," Journal of Economic Theory, Elsevier, vol. 144(1), pages 375-389, January.
    4. Jérémy Picot, 2012. "Random aggregation without the Pareto principle," Review of Economic Design, Springer;Society for Economic Design, vol. 16(1), pages 1-13, March.
    5. Kim, Semin, 2017. "Ordinal versus cardinal voting rules: A mechanism design approach," Games and Economic Behavior, Elsevier, vol. 104(C), pages 350-371.
    6. Shasikanta Nandcibam, 1994. "Note On Randomized Social Choice And Random Dictatorships," Working papers 15, Centre for Development Economics, Delhi School of Economics.
    7. Nandeibam, Shasikanta, 2000. "Distribution of coalitional power under probabilistic voting procedures," Mathematical Social Sciences, Elsevier, vol. 40(1), pages 63-84, July.
    8. Eraslan, H.Hulya & McLennan, Andrew, 2004. "Strategic candidacy for multivalued voting procedures," Journal of Economic Theory, Elsevier, vol. 117(1), pages 29-54, July.
    9. Keisuke Sato & Yoshitsugu Yamamoto, 2006. "A Study on Linear Inequality Representation of Social Welfare Functions," Tinbergen Institute Discussion Papers 06-022/1, Tinbergen Institute.
    10. Ehlers, Lars & Peters, Hans & Storcken, Ton, 2002. "Strategy-Proof Probabilistic Decision Schemes for One-Dimensional Single-Peaked Preferences," Journal of Economic Theory, Elsevier, vol. 105(2), pages 408-434, August.
    11. Mezzetti, Claudio & Renou, Ludovic, 2012. "Implementation in mixed Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2357-2375.
    12. Felix Brandt & Patrick Lederer & René Romen, 2024. "Relaxed notions of Condorcet-consistency and efficiency for strategyproof social decision schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(1), pages 19-55, August.
    13. Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
    14. Brandt, Felix & Saile, Christian & Stricker, Christian, 2022. "Strategyproof social choice when preferences and outcomes may contain ties," Journal of Economic Theory, Elsevier, vol. 202(C).
    15. Yaron Azrieli & Christopher P. Chambers & Paul J. Healy, 2020. "Incentives in experiments with objective lotteries," Experimental Economics, Springer;Economic Science Association, vol. 23(1), pages 1-29, March.
    16. Felix Brandt & Matthias Greger & Erel Segal-Halevi & Warut Suksompong, 2024. "Optimal Budget Aggregation with Star-Shaped Preferences," Papers 2402.15904, arXiv.org, revised Oct 2024.
    17. Souvik Roy & Soumyarup Sadhukhan, 2019. "A characterization of random min–max domains and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 887-906, November.
    18. Picot, Jérémy & Sen, Arunava, 2012. "An extreme point characterization of random strategy-proof social choice functions: The two alternative case," Economics Letters, Elsevier, vol. 115(1), pages 49-52.
    19. Brandl, Florian & Brandt, Felix, 2024. "A natural adaptive process for collective decision-making," Theoretical Economics, Econometric Society, vol. 19(2), May.
    20. Indraneel Dasgupta & Prasanta Pattanaik, 2007. "‘Regular’ choice and the weak axiom of stochastic revealed preference," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(1), pages 35-50, April.

    More about this item

    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:cde:cdewps:12. 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: Sanjeev Sharma (email available below). General contact details of provider: https://edirc.repec.org/data/cdudein.html .

    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.