IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v101y2017icp189-203.html
   My bibliography  Save this article

Balancing the power to appoint officers

Author

Listed:
  • Barberà, Salvador
  • Coelho, Danilo

Abstract

Rules of k names are two-stage procedures where a first set of agents, the proposers, select k individuals from a set of candidates, and then another agent, the chooser, appoints one among those k in the list. The list of k names is often arrived at by letting each of the proposers vote for v candidates and then choosing those k with the highest support. We then speak of v-rules of k names. We study how different choices of the parameters v and k affect the balance of power between the proposers and the choosers. We analyze a strategic game where the proposers interact to determine what list of candidates to submit. We investigate 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

  • Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.
    • Handle: RePEc:eee:gamebe:v:101:y:2017:i:c:p:189-203
    DOI: 10.1016/j.geb.2015.10.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825615001359
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2015.10.005?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. 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. Roy Gardner, 1977. "The Borda game," Public Choice, Springer, vol. 30(1), pages 43-50, June.
    19. 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.
    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.
    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. 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).
    2. Núñez, Matías & Laslier, Jean-François, 2015. "Bargaining through Approval," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 63-73.
    3. Anna bogomolnaia Ron Holzman Herve Moulin, 2021. "Wost Case in Voting and Bargaining," Papers 2104.02316, arXiv.org.
    4. 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.
    5. 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.
    6. Bogomolnaia, Anna & Holzman, Ron & Moulin, Hervé, 2023. "On guarantees, vetoes and random dictators," Theoretical Economics, Econometric Society, vol. 18(1), January.
    7. Salvador Barberà & Geoffroy De Clippel & Alejandro Neme & Kareen Rozen, 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.
    8. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    9. 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.
    10. Salador Barera & Kareen Rozen, 2018. "Good Enough," Working Papers 2018-12, Brown University, Department 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. Barberà, Salvador & Coelho, Danilo, 2010. "On the rule of k names," Games and Economic Behavior, Elsevier, vol. 70(1), pages 44-61, September.
    2. 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.
    3. 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.
    4. Margarita Kirneva & Matias Nunez, 2021. "Voting by Simultaneous Vetoes," Working Papers 2021-08, Center for Research in Economics and Statistics.
    5. Egor Ianovski & Mark C. Wilson, 2019. "Manipulability of consular election rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 363-393, February.
    6. Van der Linden, Martin, 2017. "Impossibilities for strategy-proof committee selection mechanisms with vetoers," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 111-121.
    7. Tobias Rachidi, 2020. "Optimal Voting Mechanisms on Generalized Single-Peaked Domains," CRC TR 224 Discussion Paper Series crctr224_2020_214, University of Bonn and University of Mannheim, Germany.
    8. Bora Erdamar & M. Sanver, 2009. "Choosers as extension axioms," Theory and Decision, Springer, vol. 67(4), pages 375-384, October.
    9. Mihir Bhattacharya, 2019. "Constitutionally consistent voting rules over single-peaked domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 225-246, February.
    10. Azrieli, Yaron & Kim, Semin, 2016. "On the self-(in)stability of weighted majority rules," Games and Economic Behavior, Elsevier, vol. 100(C), pages 376-389.
    11. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2019. "On some k-scoring rules for committee elections: agreement and Condorcet Principle," Working Papers hal-02147735, HAL.
    12. Diss, Mostapha & Mahajne, Muhammad, 2020. "Social acceptability of Condorcet committees," Mathematical Social Sciences, Elsevier, vol. 105(C), pages 14-27.
    13. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2018. "The Chamberlin-Courant Rule and the k-Scoring Rules: Agreement and Condorcet Committee Consistency," Working Papers halshs-01817943, HAL.
    14. M. Remzi Sanver, 2018. "Implementing Pareto Optimal and Individually Rational Outcomes by Veto," Group Decision and Negotiation, Springer, vol. 27(2), pages 223-233, April.
    15. Marina Bannikova & Artyom Jelnov & Pavel Jelnov, 2021. "The Number of Parties and Decision-Making in Legislatures," Games, MDPI, vol. 12(4), pages 1-10, October.
    16. Eric Kamwa & Vincent Merlin, 2018. "Coincidence of Condorcet committees," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 171-189, January.
    17. 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).
    18. Mostapha Diss & Eric Kamwa & Abdelmonaim Tlidi, 2020. "On Some k -scoring Rules for Committee Elections: Agreement and Condorcet Principle," Revue d'économie politique, Dalloz, vol. 130(5), pages 699-725.
    19. Barberà, Salvador & Berga, Dolors & Moreno, Bernardo, 2022. "Restricted environments and incentive compatibility in interdependent values models," Games and Economic Behavior, Elsevier, vol. 131(C), pages 1-28.
    20. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.

    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

    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:gamebe:v:101:y:2017:i:c:p:189-203. 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/622836 .

    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.