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Balancing the Power to Appoint Officers

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  • Danilo Coelho
  • Salvador BarberÃ

Abstract

Rules of k names are frequently used methods to appoint individuals to office. They are two-stage procedures where a Â…first set of agents, the proposers, select k individuals from an initial set of candidates, and then another agent, the chooser, appoints one among those k in the list. In practice, the list of k names is often arrived at by letting each of the proposers screen the proposed candidates by voting for v of them and then choose those k with the highest support. We then speak of v-rules of k names. Our main purpose in this paper is to study how different choices of the parameters v and k affect the balance of power between the proposers and the choosers. From a positive point of view, we analyze a strategic game where the proposers interact to determine what list of candidates to submit. From a normative point of view, we study the impact of the choice of parameters v and k upon the distribution of power among the proposers and the chooser, and we discuss how to eventually balance it.

Suggested Citation

  • Danilo Coelho & Salvador BarberÃ, 2015. "Balancing the Power to Appoint Officers," Working Papers 696, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:696
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    References listed on IDEAS

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    1. Steven J. Brams & Samuel Merrill, III, 1986. "Binding Versus Final-Offer Arbitration: A Combination is Best," Management Science, INFORMS, vol. 32(10), pages 1346-1355, October.
    2. Moulin, H. & Peleg, B., 1982. "Cores of effectivity functions and implementation theory," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 115-145, June.
    3. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    4. Attanasi, Giuseppe & Corazzini, Luca & Passarelli, Francesco, 2017. "Voting as a lottery," Journal of Public Economics, Elsevier, vol. 146(C), pages 129-137.
    5. Barbera, Salvador & Sonnenschein, Hugo & Zhou, Lin, 1991. "Voting by Committees," Econometrica, Econometric Society, vol. 59(3), pages 595-609, May.
    6. Geoffroy de Clippel & Kfir Eliaz & Brian Knight, 2014. "On the Selection of Arbitrators," American Economic Review, American Economic Association, vol. 104(11), pages 3434-3458, November.
    7. Moulin, H, 1982. "Voting with Proportional Veto Power," Econometrica, Econometric Society, vol. 50(1), pages 145-162, January.
    8. Salvador Barbera & Matthew O. Jackson, 2004. "Choosing How to Choose: Self-Stable Majority Rules and Constitutions," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 1011-1048.
    9. Mueller, Dennis C., 1978. "Voting by veto," Journal of Public Economics, Elsevier, vol. 10(1), pages 57-75, August.
    10. repec:dau:papers:123456789/13220 is not listed on IDEAS
    11. Murat R. Sertel & M. Remzi Sanver, 2004. "Strong equilibrium outcomes of voting games ¶are the generalized Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 331-347, April.
    12. Matthias Messner & Mattias Polborn, 2007. "Strong and coalition-proof political equilibria under plurality and runoff rule," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(2), pages 287-314, January.
    13. Rae, Douglas W., 1969. "Decision-Rules and Individual Values in Constitutional Choice," American Political Science Review, Cambridge University Press, vol. 63(1), pages 40-56, March.
    14. Salvador Barberà & Danilo Coelho, 2008. "How to choose a non-controversial list with k names," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(1), pages 79-96, June.
    15. Gehrlein, William V., 1985. "The Condorcet criterion and committee selection," Mathematical Social Sciences, Elsevier, vol. 10(3), pages 199-209, December.
    16. Barberà, Salvador & Coelho, Danilo, 2010. "On the rule of k names," Games and Economic Behavior, Elsevier, vol. 70(1), pages 44-61, September.
    17. Ron Holzman & Hervé Moulin, 2013. "Impartial Nominations for a Prize," Econometrica, Econometric Society, vol. 81(1), pages 173-196, January.
    18. Barış Kaymak & M. Remzi Sanver, 2003. "Sets of alternatives as Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 20(3), pages 477-494, June.
    19. Roy Gardner, 1977. "The Borda game," Public Choice, Springer, vol. 30(1), pages 43-50, June.
    20. Sinan Ertemel & Levent Kutlu & M. Remzi Sanver, 2015. "Voting games of resolute social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(1), pages 187-201, June.
    21. Danilo Coelho, 2005. "Maximin choice of voting rules for committees," Economics of Governance, Springer, vol. 6(2), pages 159-175, July.
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    Citations

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    Cited by:

    1. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    2. Salvador Barberà & Geoffroy de Clippel & Alejandro Neme & Kareen Rozen, 2022. "Order-k rationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(4), pages 1135-1153, June.
    3. Anna Bogomolnaia & Ron Holzman & Hervé Moulin, 2021. "Worst Case in Voting and Bargaining," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-03196999, HAL.
    4. Laslier, Jean-François & Núñez, Matías & Remzi Sanver, M., 2021. "A solution to the two-person implementation problem," Journal of Economic Theory, Elsevier, vol. 194(C).
    5. Martin Lackner & Jan Maly, 2025. "Approval-based shortlisting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 64(1), pages 97-142, February.
    6. Bogomolnaia, Anna & Holzman, Ron & Moulin, Hervé, 2023. "On guarantees, vetoes and random dictators," Theoretical Economics, Econometric Society, vol. 18(1), January.
    7. Ignacio García-Jurado & Luciano Méndez-Naya, 2019. "Subgame Perfection and the Rule of k Names," Group Decision and Negotiation, Springer, vol. 28(4), pages 805-825, August.
    8. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    9. Kareen Rozen & Alejandro Neme & Geoffroy De Clippel & Salvador BarberÃ, 2019. "Order-k Rationality," Working Papers 1130, Barcelona School of Economics.
      • Salvador Barberà & Geoffroy De Cleppel & Alejandro Neme & Kareen Rozeen, 2020. "Order-k Rationality," Working Papers 4, Red Nacional de Investigadores en Economía (RedNIE).
      • Salvador Barber‡ & Geoffroy de Clippel & Alejandro Neme & Kareen Rozen, 2020. "Order-k Rationality," Working Papers 2020-10, Brown University, Department of Economics.
    10. Salador Barera & Kareen Rozen, 2018. "Good Enough," Working Papers 2018-12, Brown University, Department of Economics.
    11. Anna bogomolnaia Ron Holzman Herve Moulin, 2021. "Wost Case in Voting and Bargaining," Papers 2104.02316, arXiv.org.

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    More about this item

    Keywords

    voting rules; constitutional design; Strong Nash equilibrium; rule of k names;
    All these keywords.

    JEL classification:

    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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