IDEAS home Printed from https://ideas.repec.org/p/jau/wpaper/2012-10.html
   My bibliography  Save this paper

The stagnation effect and the individually strict monotonic path solutions

Author

Listed:
  • Jaume Garcia-Segarra

    (LEE & Department of Economics, Universitat Jaume I, Castellón)

  • Miguel Gines-Vilar

    (LEE & Department of Economics, Universitat Jaume I, Castellón)

Abstract

Several bargaining solutions could fail to capture advantage from having sets closer to the same utopia point. If the whole frontier of the set is improved maintaining the same utopia point, these solutions outcome remains stagnant at the same point. We called this phenomena the stagnation effect. In order to reflect the idea that if the bargaining set is improved maintaining the same utopia point, then, the solution should also be improved, we introduce the utopia continuity axiom. We propose and characterize, for n-agent problems, the family of the individually strict monotonic solutions. This family is a common subset of the family of the strongly monotonic solutions characterized by Thomson and Myerson (1980)[8] and the individually monotonic solutions characterized by Peters and Tijs (1984)[4] and (1985)[5].

Suggested Citation

  • Jaume Garcia-Segarra & Miguel Gines-Vilar, 2012. "The stagnation effect and the individually strict monotonic path solutions," Working Papers 2012/10, Economics Department, Universitat Jaume I, Castellón (Spain).
    • Handle: RePEc:jau:wpaper:2012/10
    as

    Download full text from publisher

    File URL: http://www.doctreballeco.uji.es/wpficheros/garcia_gines_2012.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    2. Chun, Youngsub, 1988. "The equal-loss principle for bargaining problems," Economics Letters, Elsevier, vol. 26(2), pages 103-106.
    3. Peters, H.J.M. & Tijs, S.H., 1984. "Individually monotonic bargaining solutions of n-person bargaining games," Other publications TiSEM 94ffcb19-a0bc-4364-a42e-7, Tilburg University, School of Economics and Management.
    4. Peters, H.J.M. & Tijs, S.H., 1985. "Characterization of all individually monotonic bargaining solutions," Other publications TiSEM 52f5a6d5-dcac-4fec-9b8e-9, Tilburg University, School of Economics and Management.
    5. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    Full references (including those not matched with items on IDEAS)

    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. Jaume García-Segarra & Miguel Ginés-Vilar, 2013. "Stagnation proofness and individually monotonic bargaining solutions," Working Papers 2013/04, Economics Department, Universitat Jaume I, Castellón (Spain).
    2. Jaume García Segarra & Miguel Ginés Vilar, 2011. "Weighted Proportional Losses Solution," ThE Papers 10/21, Department of Economic Theory and Economic History of the University of Granada..
    3. Jaume García-Segarra & Miguel Ginés-Vilar, 2019. "Stagnation proofness in n-agent bargaining problems," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(1), pages 215-224, March.
    4. Naeve-Steinweg, Elisabeth, 2002. "Mechanisms supporting the Kalai-Smorodinsky solution," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 25-36, September.
    5. l'Haridon, Olivier & Malherbet, Franck & Pérez-Duarte, Sébastien, 2013. "Does bargaining matter in the small firms matching model?," Labour Economics, Elsevier, vol. 21(C), pages 42-58.
    6. Forgo, F. & Szidarovszky, F., 2003. "On the relation between the Nash bargaining solution and the weighting method," European Journal of Operational Research, Elsevier, vol. 147(1), pages 108-116, May.
    7. Younghwan In, 2008. "On the relevance of alternatives in bargaining: generalized average pay-off solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(2), pages 251-264, June.
    8. Carlos Alós-Ferrer & Jaume García-Segarra & Miguel Ginés-Vilar, 2018. "Anchoring on Utopia: a generalization of the Kalai–Smorodinsky solution," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 141-155, October.
    9. Youngsub Chun, 2020. "Some Impossibility Results on the Converse Consistency Principle in Bargaining," Homo Oeconomicus: Journal of Behavioral and Institutional Economics, Springer, vol. 37(1), pages 59-65, November.
    10. Gerber, Anke & Upmann, Thorsten, 2006. "Bargaining solutions at work: Qualitative differences in policy implications," Mathematical Social Sciences, Elsevier, vol. 52(2), pages 162-175, September.
    11. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    12. Dominik Karos & Nozomu Muto & Shiran Rachmilevitch, 2018. "A generalization of the Egalitarian and the Kalai–Smorodinsky bargaining solutions," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(4), pages 1169-1182, November.
    13. Rachmilevitch, Shiran, "undated". "Gradual Negotiations and Proportional Solutions," Working Papers WP2011/8, University of Haifa, Department of Economics.
    14. Lorenzo Bastianello & Marco LiCalzi, 2015. "Target-based solutions for Nash bargaining," Working Papers 5, Venice School of Management - Department of Management, Università Ca' Foscari Venezia.
    15. José-Manuel Giménez-Gómez & António Osório & Josep E. Peris, 2015. "From Bargaining Solutions to Claims Rules: A Proportional Approach," Games, MDPI, vol. 6(1), pages 1-7, March.
    16. Rachmilevitch, Shiran, "undated". "Fairness in Bargaining and the Kalai-Smorodinsky Solution," Working Papers WP2011/12, University of Haifa, Department of Economics.
    17. Thomas Eichner & Thorsten Upmann, 2012. "Labor markets and capital tax competition," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 19(2), pages 203-215, April.
    18. Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January.
    19. Lorenzo Bastianello & Marco LiCalzi, 2019. "The Probability to Reach an Agreement as a Foundation for Axiomatic Bargaining," Econometrica, Econometric Society, vol. 87(3), pages 837-865, May.
    20. Nejat Anbarci & Ching-jen Sun, 2011. "Distributive justice and the Nash bargaining solution," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(3), pages 453-470, September.

    More about this item

    Keywords

    Bargaining; Axiomatization; Efficiency; Monotonicity;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:jau:wpaper:2012/10. 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: María Aurora Garcia Gallego (email available below). General contact details of provider: https://edirc.repec.org/data/ueujies.html .

    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.