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Bargaining through Approval

Listed author(s):
  • Matias Nunez

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

  • Jean-François Laslier

    (PSE - Paris-Jourdan Sciences Economiques - CNRS - Centre National de la Recherche Scientifique - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENS Paris - École normale supérieure - Paris - École des Ponts ParisTech (ENPC), PSE - Paris School of Economics)

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 average and median 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.

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File URL: https://halshs.archives-ouvertes.fr/halshs-01168675/document
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Paper provided by HAL in its series PSE Working Papers with number halshs-01168675.

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Date of creation: Jun 2015
Handle: RePEc:hal:psewpa:halshs-01168675
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-01168675
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References listed on IDEAS
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  1. Roger B. Myerson, 2000. "Comparison of Scoring Rules in Poisson Voting Games," Econometric Society World Congress 2000 Contributed Papers 0686, Econometric Society.
  2. 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, 01.
  3. 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.
  4. Sebastien Courtin & Matias Nunez, 2013. "A Map of Approval Voting Equilibria Outcomes," Working Papers hal-00914887, HAL.
  5. 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.
  6. 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.
  7. DE SINOPOLI, Francesco, "undated". "Sophisticated voting and equilibrium refinements under plurality rule," CORE Discussion Papers RP 1467, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  9. Dutta, Bhaskar & Sen, Arunava, 2009. "Nash Implementation with Partially Honest Individuals," The Warwick Economics Research Paper Series (TWERPS) 920, University of Warwick, Department of Economics.
  10. Tilman Börgers & Peter Postl, 2005. "Efficient Compromising," Levine's Bibliography 122247000000000801, UCLA Department of Economics.
  11. Hitoshi Matsushima, 2006. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-405, CIRJE, Faculty of Economics, University of Tokyo.
  12. Jean-François Laslier, 2009. "The Leader rule: a model of strategic approval voting in a large electorate," Post-Print hal-00363218, HAL.
  13. 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.
  14. Salvador Barberà & Danilo Coelho, 2004. "On the rule of K names," Working Papers 264, Barcelona Graduate School of Economics.
  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. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
  17. repec:esx:essedp:732 is not listed on IDEAS
  18. 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.
  19. Geoffroy de Clippel & Kfir Eliaz, 2009. "Reason-Based Choice: A Bargaining Rationale for the Attraction and Compromise Effects," Working Papers 2009-4, Brown University, Department of Economics.
  20. 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.
  21. Lombardi, Michele & Yoshihara, Naoki, 2013. "Partially Honest Nash Implementation:A Full Characterization," CCES Discussion Paper Series 49, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
  22. 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.
  23. Donald Wittman, 1986. "Final-Offer Arbitration," Management Science, INFORMS, vol. 32(12), pages 1551-1561, December.
  24. Laurent Bouton & Micael Castanheira De Moura, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," ULB Institutional Repository 2013/108675, ULB -- Universite Libre de Bruxelles.
  25. Burak Can & Bora Erdamar & M. Sanver, 2009. "Expected Utility Consistent Extensions of Preferences," Theory and Decision, Springer, vol. 67(2), pages 123-144, August.
  26. Pazner, Elisha A., 1977. "Pitfalls in the theory of fairness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 458-466, April.
  27. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
  28. 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.
  29. GOERTZ, Johanna M.M. & MANIQUET, François, "undated". "On the informational efficiency of simple scoring rules," CORE Discussion Papers RP 2326, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  30. Kelly, Jerry S, 1977. "Strategy-Proofness and Social Choice Functions without Singlevaluedness," Econometrica, Econometric Society, vol. 45(2), pages 439-446, March.
  31. repec:ulb:ulbeco:2013/162238 is not listed on IDEAS
  32. Nejat Anbarci, 2006. "Finite Alternating-Move Arbitration Schemes and the Equal Area Solution," Theory and Decision, Springer, vol. 61(1), pages 21-50, 08.
  33. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
  34. Salvador Barberà & Danilo Coelho, 2015. "Balancing the Power to Appoint Officers," Working Papers 696, Barcelona Graduate School of Economics.
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