The effect of decision weights in bargaining problems
AbstractBargaining problems are considered where the preferences of the bargainers deviate from expected utility but can be modelled according to rank dependent utility theory. Under rank dependent utility two factors influence the risk attitude of a decision maker: the utility function and the probability weighting function. Arising from the same definition of risk aversion, two forms of risk aversion can be distinguished: utility risk aversion and probabilistic risk aversion.The main finding is that these two forms of risk aversion can have surprisingly opposite consequences for bargaining solutions that exhibit a weak monotonicity property. In particular, in a large class of bargaining problems both increased utility risk aversion and decreased probabilistic risk aversion of the opponent are advantagous for a player. This is demonstrated for the Kalai-Smorodinsky bargaining solution. The Nash bargaining solution does not behave regularly in this respect.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 110 (2003)
Issue (Month): 1 (May)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Kobberling, Veronika & Peters, Hans, 2003. "The effect of decision weights in bargaining problems," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12234, Maastricht University.
- Peters,Hans & Köbberling,Vera, 2000. "The Effect of Decision Weights in Bargaining Problems," Research Memoranda 037, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Volij, Oscar & Winter, Eyal, 2002.
"On risk aversion and bargaining outcomes,"
Games and Economic Behavior,
Elsevier, vol. 41(1), pages 120-140, October.
- Sobel, Joel, 2001. "Manipulation of Preferences and Relative Utilitarianism," Games and Economic Behavior, Elsevier, vol. 37(1), pages 196-215, October.
- Roth, Alvin E & Rothblum, Uriel G, 1982. "Risk Aversion and Nash's Solution for Bargaining Games with Risky Outcomes," Econometrica, Econometric Society, vol. 50(3), pages 639-47, May.
- Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-18, May.
- 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 1171-86, September.
- Chateauneuf, Alain & Cohen, Michele, 1994. "Risk Seeking with Diminishing Marginal Utility in a Non-expected Utility Model," Journal of Risk and Uncertainty, Springer, vol. 9(1), pages 77-91, July.
- SHALEV, Jonathan, 1997.
"Loss aversion and bargaining,"
CORE Discussion Papers
1997006, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
- Safra, Zvi & Zhou, Lin & Zilcha, Itzhak, 1990. "Risk Aversion in the Nash Bargaining Problem with Risky Outcomes and Risky Disagreement Points," Econometrica, Econometric Society, vol. 58(4), pages 961-65, July.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Zilcha & I. & Safra, Z., 1990.
"Bargaining Solutions Without The Expected Utility Hypothesis,"
33-90, Tel Aviv.
- Safra Zvi & Zilcha Itzhak, 1993. "Bargaining Solutions without the Expected Utility Hypothesis," Games and Economic Behavior, Elsevier, vol. 5(2), pages 288-306, April.
- Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
- Sobel, Joel, 1981. "Distortion of Utilities and the Bargaining Problem," Econometrica, Econometric Society, vol. 49(3), pages 597-619, May.
- Oscar Volij, 1999. "On Risk Aversion and Bargaining Outcomes," Economic theory and game theory 010, Oscar Volij.
- Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
- Peters, Hans, 1992. "A criterion for comparing strength of preference, with an application to bargaining," Open Access publications from Maastricht University urn:nbn:nl:ui:27-12279, Maastricht University.
- Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
- Crawford, Vincent P. & Varian, Hal R., 1979. "Distortion of preferences and the Nash theory of bargaining," Economics Letters, Elsevier, vol. 3(3), pages 203-206.
- Ehud Kalai & Robert W. Rosenthal, 1976. "Arbitration of Two-Party Disputes Under Ignorance," Discussion Papers 215, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
- Caroline Berden & Hans Peters, 2006.
"On the Effect of Risk Aversion in Bimatrix Games,"
Theory and Decision,
Springer, vol. 60(4), pages 359-370, 06.
- Ross Cressman, Maria Gallego, 2005.
"On the Ranking of Bilateral Bargaining Opponents,"
eg0043, Wilfrid Laurier University, Department of Economics, revised 2005.
- Predtetchinski, Arkadi, 2006. "A General Structure Theorem for the Nash Equilibrium Correspondence," Research Memoranda 010, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- Driesen, Bram & Perea, Andrés & Peters, Hans, 2012.
"Alternating offers bargaining with loss aversion,"
Mathematical Social Sciences,
Elsevier, vol. 64(2), pages 103-118.
- Driesen, Bram & Perea, Andrés & Peters, Hans, 2011.
"The Kalai-Smorodinsky bargaining solution with loss aversion,"
Mathematical Social Sciences,
Elsevier, vol. 61(1), pages 58-64, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.