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Bargaining through Approval

Listed author(s):
  • Núñez, Matías
  • Laslier, Jean-François

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.

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File URL: http://www.sciencedirect.com/science/article/pii/S0304406815000701
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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 60 (2015)
Issue (Month): C ()
Pages: 63-73

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Handle: RePEc:eee:mateco:v:60:y:2015:i:c:p:63-73
DOI: 10.1016/j.jmateco.2015.06.015
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

References listed on IDEAS
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  1. Sebastien Courtin & Matias Nunez, 2013. "A Map of Approval Voting Equilibria Outcomes," Working Papers hal-00914887, HAL.
  2. repec:esx:essedp:732 is not listed on IDEAS
  3. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
  4. 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.
  5. 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.
  6. de Clippel, Geoffroy & Eliaz, Kfir & Knight, Brian, 2011. "On the Selection of Arbitrators," CEPR Discussion Papers 8724, C.E.P.R. Discussion Papers.
  7. Eric Maskin, 1998. "Nash Equilibrium and Welfare Optimality," Harvard Institute of Economic Research Working Papers 1829, Harvard - Institute of Economic Research.
  8. Matsushima, Hitoshi, 2008. "Role of honesty in full implementation," Journal of Economic Theory, Elsevier, vol. 139(1), pages 353-359, March.
  9. Salvador Barberà & Danilo Coelho, 2004. "On the rule of K names," Working Papers 264, Barcelona Graduate School of Economics.
  10. Börgers, Tilman & Postl, Peter, 2009. "Efficient compromising," Journal of Economic Theory, Elsevier, vol. 144(5), pages 2057-2076, September.
  11. 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.
  12. 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.
  13. Burak Can & Bora Erdamar & M. Sanver, 2009. "Expected Utility Consistent Extensions of Preferences," Theory and Decision, Springer, vol. 67(2), pages 123-144, August.
  14. 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.
  15. Nejat Anbarci, 2006. "Finite Alternating-Move Arbitration Schemes and the Equal Area Solution," Theory and Decision, Springer, vol. 61(1), pages 21-50, 08.
  16. Salvador Barberà & Danilo Coelho, 2015. "Balancing the Power to Appoint Officers," Working Papers 696, Barcelona Graduate School of Economics.
  17. 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.
  18. repec:ulb:ulbeco:2013/162238 is not listed on IDEAS
  19. 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.
  20. Laurent Bouton & Micael Castanheira, 2012. "One Person, Many Votes: Divided Majority and Information Aggregation," Econometrica, Econometric Society, vol. 80(1), pages 43-87, 01.
  21. 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.
  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. Roger B. Myerson, 1998. "Comparison of Scoring Rules in Poisson Voting Games," Discussion Papers 1214, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  24. 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.
  25. 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.
  26. Ariel Rubinstein, 2010. "Perfect Equilibrium in a Bargaining Model," Levine's Working Paper Archive 252, David K. Levine.
  27. Donald Wittman, 1986. "Final-Offer Arbitration," Management Science, INFORMS, vol. 32(12), pages 1551-1561, December.
  28. Kelly, Jerry S, 1977. "Strategy-Proofness and Social Choice Functions without Singlevaluedness," Econometrica, Econometric Society, vol. 45(2), pages 439-446, March.
  29. 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.
  30. Jean-François Laslier, 2009. "The Leader rule: a model of strategic approval voting in a large electorate," Post-Print hal-00363218, HAL.
  31. Pazner, Elisha A., 1977. "Pitfalls in the theory of fairness," Journal of Economic Theory, Elsevier, vol. 14(2), pages 458-466, April.
  32. 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.
  33. Ulle Endriss, 2013. "Sincerity and manipulation under approval voting," Theory and Decision, Springer, vol. 74(3), pages 335-355, March.
  34. 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.
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