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Stagnation proofness and individually monotonic bargaining solutions

  • Jaume García-Segarra

    ()

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

  • Miguel Ginés-Vilar

    ()

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

The aim of this paper is to generalize the results of Peter and Tijs [10] and [9]. We propose a characterization that holds both for n-agent problems and for a larger class of problems. The axioms used in our characterization are weaker because they are implied by the characterization in the aforementioned references. We analyze a phenomenon known as stagnation effect, which takes place when a bargaining solution remains unchanged facing all possible expansions of the bargaining set not affecting the utopia point. Our main result relies on a very weak axiom, stagnation proofness. Whenever a bargaining solution satisfies this axiom, such solution does not suffer from the stagnation effect.

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Paper provided by Economics Department, Universitat Jaume I, Castellón (Spain) in its series Working Papers with number 2013/04.

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Length: 10 pages
Date of creation: 2013
Date of revision:
Handle: RePEc:jau:wpaper:2013/04
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  1. Imai, Haruo, 1983. "Individual Monotonicity and Lexicographic Maxmin Solution," Econometrica, Econometric Society, vol. 51(2), pages 389-401, March.
  2. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-30, October.
  3. Thomson, W., 1989. "Cooperative Models Of Bargaining," RCER Working Papers 177, University of Rochester - Center for Economic Research (RCER).
  4. Dubra, J.M., 1998. "An Asymmetric Kalai-Smorodinsky Solution," Working Papers 98-09, C.V. Starr Center for Applied Economics, New York University.
  5. Chun, Youngsub, 1988. "The equal-loss principle for bargaining problems," Economics Letters, Elsevier, vol. 26(2), pages 103-106.
  6. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
  7. 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.
  8. Driesen, Bram W., 2012. "The Asymmetric Leximin Solution," Working Papers 0523, University of Heidelberg, Department of Economics.
  9. 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.
  10. repec:ner:tilbur:urn:nbn:nl:ui:12-154267 is not listed on IDEAS
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