Learning from a Piece of Pie
Abstract
We investigate the empirical content of the Nash solution to two-player bargaining games. The bargaining environment is described by a set of variables that may affect agents' preferences over the agreement sharing, the status quo outcome, or both. The outcomes (i.e. whether an agreement is reached, and if so the individual shares) and the environment (including the size of the pie) are known, but neither are the agents' utilities nor their threat points. We consider both a deterministic version of the model in which the econometrician observes the shares as deterministic functions of the variables under consideration and a stochastic one in which because of latent disturbances only the joint distribution of incomes and outcomes is recorded. We show that in the most general framework any outcome can be rationalized as a Nash solution. However, even mild exclusion restrictions generate strong implications that can be used to test the Nash bargaining assumption. Stronger conditions further allow to recover the underlying structure of the bargaining, and in particular, the cardinal representation of individual preferences in the absence of uncertainty. An implication of this finding is that empirical works entailing Nash bargaining could (and should) use much more general and robust versions than they usually do. Copyright 2012, Oxford University Press.Download Info
If 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 Info
Article provided by Oxford University Press in its journal The Review of Economic Studies.
Volume (Year): 79 (2012)
Issue (Month): 1 ()
Pages: 162-195
Contact details of provider:
Related research
Keywords:Other versions of this item:
- Pierre-Andre Chiappori & Olivier Donni & Ivana Komunje, 2011. "Learning From a Piece of Pie," Discussion Papers 1011-05, Columbia University, Department of Economics.
References
References listed on IDEASPlease 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.:
- Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
- Walter Bossert & Yves Sprumont, 2002.
"Core rationalizability in two-agent exchange economies,"
Economic Theory,
Springer, vol. 20(4), pages 777-791.
- Bossert, W. & Sprumont, Y., 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Bossert, Walter & Sprumont, Yves, 2000. "Core Rationalizability in Two-Agent Exchange Economies," Working Papers 2000-07, Rice University, Department of Economics.
- BOSSERT, Walter & SPRUMONT, Yves, 2000. "Core Retionalizability in Two-Agent Exchange Economies," Cahiers de recherche 2000-09, Universite de Montreal, Departement de sciences economiques.
- Thomson, W., 1989.
"Cooperative Models Of Bargaining,"
RCER Working Papers
177, University of Rochester - Center for Economic Research (RCER).
- 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.
- Indrajit Ray & Lin Zhou, .
"Game Theory Via Revealed Preferences,"
Discussion Papers
00/15, Department of Economics, University of York.
- Ray, Indrajit & Zhou, Lin, 2001. "Game Theory via Revealed Preferences," Games and Economic Behavior, Elsevier, vol. 37(2), pages 415-424, November.
- Harrington, Joseph E, Jr, 1991. "The Determination of Price and Output Quotas in a Heterogeneous Cartel," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 767-92, November.
- Rosa L. Matzkin, 1999.
"Nonparametric Estimation of Nonadditive Random Functions,"
Working Papers
38, Universidad de San Andres, Departamento de Economia, revised Sep 2001.
- Rosa L. Matzkin, 2003. "Nonparametric Estimation of Nonadditive Random Functions," Econometrica, Econometric Society, vol. 71(5), pages 1339-1375, 09.
- Stéphane Bonhomme & Jean-Marc Robin, 2008.
"Generalized nonparametric deconvolution with an application to earnings dynamics,"
CeMMAP working papers
CWP03/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Bonhomme, S. & Robin, J.-M., 2010. "Generalized non-parametric deconvolution with an application to earnings dynamics," Open Access publications from University College London http://discovery.ucl.ac.u, University College London.
- Walter Bossert & Yves Sprumont, 2009.
"Non-Deteriorating Choice,"
Economica,
London School of Economics and Political Science, vol. 76(302), pages 337-363, 04.
- BOSSERT, Walter & SPRUMONT, Yves, 2001. "Non-Deteriorating Choice," Cahiers de recherche 2001-01, Universite de Montreal, Departement de sciences economiques.
- Bossert, W. & Sprumont, Y., 2001. "Non-Deteriorating Choice," Cahiers de recherche 2001-01, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Xu, Yongsheng & Zhou, Lin, 2007. "Rationalizability of choice functions by game trees," Journal of Economic Theory, Elsevier, vol. 134(1), pages 548-556, May.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Peters, Hans & Wakker, Peter, 1991.
"Independence of irrelevant alternatives and revealed group preferences,"
Open Access publications from Maastricht University
urn:nbn:nl:ui:27-12287, Maastricht University.
- Peters, Hans & Wakker, Peter, 1991. "Independence of Irrelevant Alternatives and Revealed Group Preferences," Econometrica, Econometric Society, vol. 59(6), pages 1787-1801, November.
- Lensberg, Terje, 1987. "Stability and Collective Rationality," Econometrica, Econometric Society, vol. 55(4), pages 935-61, July.
- Postel-Vinay, F. & Robin, J.-M., 2006. "Microeconometric search-matching models and matched employer-employee data," Open Access publications from University College London http://discovery.ucl.ac.u, University College London.
- Svejnar, Jan & Smith, Stephen C, 1984. "The Economics of Joint Ventures in Less Developed Countries," The Quarterly Journal of Economics, MIT Press, vol. 99(1), pages 149-67, February.
- Lensberg, Terje, 1988. "Stability and the Nash solution," Journal of Economic Theory, Elsevier, vol. 45(2), pages 330-341, August.
- Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03.
- Chiappori, Pierre-André & Donni, Olivier, 2009. "Non-unitary Models of Household Behavior: A Survey of the Literature," IZA Discussion Papers 4603, Institute for the Study of Labor (IZA).
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Echenique, Federico & Chambers, Christopher P., 0. "On the consistency of data with bargaining theories," Theoretical Economics, Econometric Society.
Lists
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:oup:restud:v:79:y:2012:i:1:p:162-195For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Oxford University Press) or (Christopher F. Baum).
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.

