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Compromise Rules Revisited

Author

Listed:
  • Vincent Merlin

    (Université de Caen Normandie)

  • İpek Özkal Sanver

    (İstanbul Bilgi University
    İstanbul Bilgi University)

  • M. Remzi Sanver

    (Université PSL, CNRS, LAMSADE)

Abstract

Decision makers often face a dilemma when they have to arbitrate between the quantity of support for a decision (i.e., the number of people who back it) and the quality of support (i.e., at which level to go down in voters’ preferences to obtain sufficient level of support). The trade-off between the quality and quantity of support behind alternatives led to numerous suggestions in social choice theory: without being exhaustive we can mention Majoritarian Compromise, Fallback Bargaining, Set of Efficient Compromises, Condorcet Practical Method, Median Voting Rule, Majority Judgement. Our point is that all these concepts share a common feature which enables us to gather them in the same class, the class of compromise rules, which are all based upon elementary scoring rules described extensively by Saari. One can exploit his results to analyze the compromise rules with relative ease, which is a major point of our paper.

Suggested Citation

  • Vincent Merlin & İpek Özkal Sanver & M. Remzi Sanver, 2019. "Compromise Rules Revisited," Group Decision and Negotiation, Springer, vol. 28(1), pages 63-78, February.
    • Handle: RePEc:spr:grdene:v:28:y:2019:i:1:d:10.1007_s10726-018-9598-2
    DOI: 10.1007/s10726-018-9598-2
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    References listed on IDEAS

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    1. Börgers, Tilman & Postl, Peter, 2009. "Efficient compromising," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2057-2076, September.
    2. İpek Özkal-Sanver & M. Remzi Sanver, 2004. "Efficiency in the Degree of Compromise: A New Axiom for Social Choice," Group Decision and Negotiation, Springer, vol. 13(4), pages 375-380, July.
    3. Saari, Donald G., 1999. "Explaining All Three-Alternative Voting Outcomes," Journal of Economic Theory, Elsevier, vol. 87(2), pages 313-355, August.
    4. Smith, John H, 1973. "Aggregation of Preferences with Variable Electorate," Econometrica, Econometric Society, vol. 41(6), pages 1027-1041, November.
    5. Ronan Congar & Vincent Merlin, 2012. "A characterization of the maximin rule in the context of voting," Theory and Decision, Springer, vol. 72(1), pages 131-147, January.
    6. Michel Balinski & Rida Laraki, 2011. "Majority Judgment: Measuring, Ranking, and Electing," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015137, December.
    7. Gehrlein, William V & Lepelley, Dominique, 2003. "On Some Limitations of the Median Voting Rule," Public Choice, Springer, vol. 117(1-2), pages 177-190, October.
    8. Young, H Peyton, 1974. "A Note on Preference Aggregation," Econometrica, Econometric Society, vol. 42(6), pages 1129-1131, November.
    9. Saari, Donald G., 1989. "A dictionary for voting paradoxes," Journal of Economic Theory, Elsevier, vol. 48(2), pages 443-475, August.
    10. Bilge Yilmaz & Murat R. Sertel, 1999. "The majoritarian compromise is majoritarian-optimal and subgame-perfect implementable," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 615-627.
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    Citations

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    Cited by:

    1. Matías Núñez & M. Remzi Sanver, 2021. "On the subgame perfect implementability of voting rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 421-441, February.
    2. Hatzivelkos, Aleksandar, 2024. "Note on compromise axiom," Mathematical Social Sciences, Elsevier, vol. 130(C), pages 38-47.
    3. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    4. Olivier Cailloux & Beatrice Napolitano & M. Remzi Sanver, 2023. "Compromising as an equal loss principle," Review of Economic Design, Springer;Society for Economic Design, vol. 27(3), pages 547-560, September.
    5. Mostapha Diss & Clinton Gubong Gassi & Issofa Moyouwou, 2023. "Social acceptability and the majoritarian compromise rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 489-510, October.
    6. Eric Kamwa, 2023. "On two voting systems that combine approval and preferences: fallback voting and preference approval voting," Public Choice, Springer, vol. 196(1), pages 169-205, July.
    7. Matias Nunez & M. Remzi Sanver, 2021. "On the subgame perfect implementability of voting rules," Post-Print hal-03341697, HAL.
    8. Samaneh Zahedi & Amir Hedayati Aghmashhadi & Christine Fürst, 2021. "Optimal Politics of Conflict over Physical-Industrial Development Using a Technique of Cooperative Game Theory in Iran," Sustainability, MDPI, vol. 13(22), pages 1-20, November.
    9. Eric Kamwa, 2023. "On Two Voting systems that combine approval and preferences: Fallback Voting and Preference Approval Voting," Working Papers hal-03614585, HAL.

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    More about this item

    Keywords

    Compromise; Voting; Scoring rules; Borda; Condorcet; Saari;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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