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Bargaining through Approval

Author

Listed:
  • Matias Nunez

    (THEMA - Théorie économique, modélisation et applications - UCP - Université de Cergy Pontoise - Université Paris-Seine - CNRS - Centre National de la Recherche Scientifique)

  • Jean-François Laslier

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

Abstract

The paper considers two-person bargaining under Approval Voting. It first proves the existence of pure strategy equilibria. Then it shows that this bargaining method ensures that both players obtain at least their mean utility level in equilibrium. Finally it proves that, provided that the players are partially honest, the mechanism triggers sincerity and ensures that no alternative Pareto dominates the outcome of the game.

Suggested Citation

  • Matias Nunez & Jean-François Laslier, 2015. "Bargaining through Approval," Post-Print halshs-01310223, HAL.
    • Handle: RePEc:hal:journl:halshs-01310223
    DOI: 10.1016/j.jmateco.2015.06.015
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Lucia Buenrostro & Amrita Dhillon & Peter Vida, 2013. "Scoring rule voting games and dominance solvability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 329-352, February.
    3. Francesco De Sinopoli, 2000. "Sophisticated voting and equilibrium refinements under plurality rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 655-672.
    4. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    5. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
    6. Börgers, Tilman & Postl, Peter, 2009. "Efficient compromising," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2057-2076, September.
    7. Sébastien Courtin & Matias Nunez, 2013. "A Map of Approval Voting Equilibria Outcomes," THEMA Working Papers 2013-31, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    8. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
    9. Kelly, Jerry S, 1977. "Strategy-Proofness and Social Choice Functions without Singlevaluedness," Econometrica, Econometric Society, vol. 45(2), pages 439-446, March.
    10. Matsushima, Hitoshi, 2008. "Role of honesty in full implementation," Journal of Economic Theory, Elsevier, vol. 139(1), pages 353-359, March.
    11. Ahn, David S. & Oliveros, Santiago, 2016. "Approval voting and scoring rules with common values," Journal of Economic Theory, Elsevier, vol. 166(C), pages 304-310.
    12. Donald Wittman, 1986. "Final-Offer Arbitration," Management Science, INFORMS, vol. 32(12), pages 1551-1561, December.
    13. Leonid Hurwicz & Murat R. Sertel, 1999. "Designing Mechanisms, in Particular for Electoral Systems: The Majoritarian Compromise," International Economic Association Series, in: Murat R. Sertel (ed.), Contemporary Economic Issues, chapter 4, pages 69-88, Palgrave Macmillan.
    14. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    15. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
    16. Jean-François Laslier, 2009. "The Leader rule: a model of strategic approval voting in a large electorate," Post-Print hal-00363218, HAL.
    17. 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.
    18. , & ,, 2012. "Reason-based choice: a bargaining rationale for the attraction and compromise effects," Theoretical Economics, Econometric Society, vol. 7(1), January.
    19. Barberà, Salvador & Coelho, Danilo, 2017. "Balancing the power to appoint officers," Games and Economic Behavior, Elsevier, vol. 101(C), pages 189-203.
    20. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, January.
    21. Hurwicz, Leonid & Schmeidler, David, 1978. "Construction of Outcome Functions Guaranteeing Existence and Pareto Optimality of Nash Equilibria," Econometrica, Econometric Society, vol. 46(6), pages 1447-1474, November.
    22. Goertz, Johanna M.M. & Maniquet, François, 2011. "On the informational efficiency of simple scoring rules," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1464-1480, July.
    23. Barberà, Salvador & Coelho, Danilo, 2010. "On the rule of k names," Games and Economic Behavior, Elsevier, vol. 70(1), pages 44-61, September.
    24. , & ,, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
    25. Pazner, Elisha A., 1977. "Pitfalls in the theory of fairness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 458-466, April.
    26. Myerson, Roger B., 2002. "Comparison of Scoring Rules in Poisson Voting Games," Journal of Economic Theory, Elsevier, vol. 103(1), pages 219-251, March.
    27. Özgür Kıbrıs & Murat Sertel, 2007. "Bargaining over a finite set of alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 421-437, April.
    28. Merrill, Samuel & Nagel, Jack, 1987. "The Effect of Approval Balloting on Strategic Voting under Alternative Decision Rules," American Political Science Review, Cambridge University Press, vol. 81(2), pages 509-524, June.
    29. Marco Mariotti, 1998. "Nash bargaining theory when the number of alternatives can be finite," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 413-421.
    30. repec:esx:essedp:732 is not listed on IDEAS
    31. Jean-François Laslier & M. Remzi Sanver, 2010. "The Basic Approval Voting Game," Studies in Choice and Welfare, in: Jean-François Laslier & M. Remzi Sanver (ed.), Handbook on Approval Voting, chapter 0, pages 153-163, Springer.
    32. Makoto Tanaka & Ryo-ichi Nagahisa, 2002. "An axiomatization of the Kalai-Smorodinsky solution when the feasible sets can be finite," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 751-761.
    33. repec:ulb:ulbeco:2013/162238 is not listed on IDEAS
    34. John Conley & Simon Wilkie, 2012. "The ordinal egalitarian bargaining solution for finite choice sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(1), pages 23-42, January.
    35. Sprumont, Y., 1991. "Intermediate Preferences And Rawlsian Arbitration Rules," Cahiers de recherche 9113, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    36. Francesco Sinopoli & Bhaskar Dutta & Jean-François Laslier, 2006. "Approval voting: three examples," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(1), pages 27-38, December.
    37. Jean‐François Laslier & Jörgen W. Weibull, 2013. "An Incentive‐Compatible Condorcet Jury Theorem," Scandinavian Journal of Economics, Wiley Blackwell, vol. 115(1), pages 84-108, January.
    38. repec:hal:pseose:halshs-00754592 is not listed on IDEAS
    39. Nejat Anbarci, 2006. "Finite Alternating-Move Arbitration Schemes and the Equal Area Solution," Theory and Decision, Springer, vol. 61(1), pages 21-50, August.
    40. Burak Can & Bora Erdamar & M. Sanver, 2009. "Expected Utility Consistent Extensions of Preferences," Theory and Decision, Springer, vol. 67(2), pages 123-144, August.
    41. Jean-François Laslier & M. Remzi Sanver (ed.), 2010. "Handbook on Approval Voting," Studies in Choice and Welfare, Springer, number 978-3-642-02839-7, June.
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    Citations

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    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. Salvador Barberà & Danilo Coelho, 2024. "Mechanisms to Appoint Arbitrator Panels or Sets of Judges by Compromise Between Concerned Parties," Working Papers 1442, Barcelona School of Economics.
    3. Salvador Barberà & Danilo Coelho, 2022. "Compromising on compromise rules," RAND Journal of Economics, RAND Corporation, vol. 53(1), pages 95-112, March.
    4. Laslier, Jean-François & Núñez, Matías & Pimienta, Carlos, 2017. "Reaching consensus through approval bargaining," Games and Economic Behavior, Elsevier, vol. 104(C), pages 241-251.
    5. Núñez, Matías, 2015. "Threshold voting leads to Type-Revelation," Economics Letters, Elsevier, vol. 136(C), pages 211-213.
    6. Jean-François Laslier & Matías Núñez & Carlos Pimienta, 2015. "Reaching Consensus Through Simultaneous Bargaining," Discussion Papers 2015-08, School of Economics, The University of New South Wales.

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    More about this item

    Keywords

    Two-agents; Approval Voting; Partial honesty;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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