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Endogenous Reference Points And The Adjusted Proportional Solution For Bargaining Problems With Claims

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  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

Abstract

A modifica.tion of the proportional solution for bargaining with claims problems is proposed. This solution is construct.ed by considering an endogenous reference point. Characterization results are provided when the feasible set is not necessarily convex.

Suggested Citation

  • Carmen Herrero Blanco, 1993. "Endogenous Reference Points And The Adjusted Proportional Solution For Bargaining Problems With Claims," Working Papers. Serie AD 1993-13, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasad:1993-13
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    File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1993-13.pdf
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    References listed on IDEAS

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    1. Chakravorty, Bhaskar & Corchon, Luis C. & Wilkie, Simon, 2006. "Credible implementation," Games and Economic Behavior, Elsevier, vol. 57(1), pages 18-36, October.
    2. Dagan, Nir & Volij, Oscar, 1993. "The bankruptcy problem: a cooperative bargaining approach," Mathematical Social Sciences, Elsevier, vol. 26(3), pages 287-297, November.
    3. Luis Corchón & Simon Wilkie, 1990. "Doubly implementing the ratio correspondence with a "natural" mechanism," Working Papers. Serie AD 1990-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Bossert, Walter, 1993. "An alternative solution to bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 25(3), pages 205-220, May.
    5. Rubinstein, Ariel & Safra, Zvi & Thomson, William, 1992. "On the Interpretation of the Nash Bargaining Solution and Its Extension to Non-expected Utility Preferences," Econometrica, Econometric Society, vol. 60(5), pages 1171-1186, September.
    6. Herrero, Carmen & Villar, Antonio, 1991. "Vector mappings with diagonal images," Mathematical Social Sciences, Elsevier, vol. 22(1), pages 57-67, August.
    7. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August.
    8. Roth, Alvin E., 1977. "Independence of irrelevant alternatives, and solutions to Nash's bargaining problem," Journal of Economic Theory, Elsevier, vol. 16(2), pages 247-251, December.
    9. Robert W. Rosenthal, 1976. "An Arbitration Model for Normal-Form Games," Mathematics of Operations Research, INFORMS, vol. 1(1), pages 82-88, February.
    10. Thomson, William, 1981. "A class of solutions to bargaining problems," Journal of Economic Theory, Elsevier, vol. 25(3), pages 431-441, December.
    11. Marco Gil, Maria del Carmen, 1994. "An alternative characterization of the extended claim-egalitarian solution," Economics Letters, Elsevier, vol. 45(1), pages 41-46, May.
    12. Bossert, Walter, 1992. "Monotonic solutions for bargaining problems with claims," Economics Letters, Elsevier, vol. 39(4), pages 395-399, August.
    13. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-666, May.
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    Cited by:

    1. Lange, Andreas & Löschel, Andreas & Vogt, Carsten & Ziegler, Andreas, 2010. "On the self-interested use of equity in international climate negotiations," European Economic Review, Elsevier, vol. 54(3), pages 359-375, April.
    2. Carmen Herrero & Antonio Villar, 2010. "The rights egalitarian solution for NTU sharing problems," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 137-150, March.
    3. Marco Mariotti, 2003. "Even Allocations For Generalised Rationing Problems," Working Papers. Serie AD 2003-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Dietzenbacher, Bas & Peters, Hans, 2018. "Characterizing NTU-bankruptcy rules using bargaining axioms," Research Memorandum 006, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    6. Bozbay, Irem & Dietrich, Franz & Peters, Hans, 2012. "Bargaining with endogenous disagreement: The extended Kalai–Smorodinsky solution," Games and Economic Behavior, Elsevier, vol. 74(1), pages 407-417.
    7. Carmen Herrero, 2000. "The Three Musketeers. Old Solutions to Bankruptcy Problems," Econometric Society World Congress 2000 Contributed Papers 0609, Econometric Society.
    8. Marina Núñez & Carles Rafels, 2004. "Bargained stable allocations in assignment markets," Working Papers 153, Barcelona Graduate School of Economics.

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