Change in risk and bargaining game
This paper studies the comparative statics regarding changes in risk on Nash's solution to bargaining games with stochastic outcome and disagreement points. When absolute risk tolerance is linear with constant slope, the Nash's solution to bargaining with risky outcomes and risky disagreement points can be viewed as division of divisible certainty equivalent between two risk-averse agents. We show that whether a deterioration of a bargainer's risky prospect is advantageous to his opponent often depends on whether preference displays decreasing absolute risk aversion (DARA). Specically, for perfectly correlated risky prospects, DARA à la Arrow-Pratt works to the concavity of the joint certainty equivalent with respect to a bargainer's initial wealth or size of risky exposure; for independent risky prospects, DARA à la Ross vulnerates his risk bearing under Rothschild-Stiglitz increase in risk taking the form of adding an independent noise, both leading to the bargainer's increased propensity for risk aversion as well as the joint size of the pie. These results illuminate how individual risky prospect as well as risk preference influence the cooperating partners' income shares and thus the market equilibrum of marriage formation. We also show that this result is robust under Rubinstein's non-cooperative bargaining game.
|Date of creation:||Mar 2013|
|Contact details of provider:|| Postal: Norwich NR4 7TI|
Phone: 44 1603 591131
Fax: +44(0)1603 4562592
Web page: http://www.uea.ac.uk/economics
More information through EDIRC
|Order Information:|| Postal: Jessica Pointer, School of Economics, University of East Anglia, Norwich Research Park, Norwich, NR4 7TJ, UK|
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.:
- Eeckhoudt, L. & Gollier, C., 1998.
"Which Shape for the Cost Curve of Risk?,"
98.490, Toulouse - GREMAQ.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Rosenzweig, Mark R. & Stark, Oded, 1987.
"Consumption Smoothing, Migration and Marriage: Evidence from Rural India,"
7515, University of Minnesota, Economic Development Center.
- Rosenzweig, Mark R & Stark, Oded, 1989. "Consumption Smoothing, Migration, and Marriage: Evidence from Rural India," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 905-926, August.
- Gregory D. Hess, 2001.
"Marriage and Consumption Insurance: What’s Love Got to do With It?,"
CESifo Working Paper Series
507, CESifo Group Munich.
- Gregory D. Hess, 2004. "Marriage and Consumption Insurance: What's Love Got to Do with It?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 290-318, April.
- Gregory D. Hess, 2001. "Marriage and consumption insurance: what's love got to do with it?," Working Paper 0104, Federal Reserve Bank of Cleveland.
- Gregory D. Hess, 2002. "Marriage and Consumption Insurance: What's Love Got To Do With It?," Claremont Colleges Working Papers 2002-15, Claremont Colleges.
- Townsend, Robert M, 1994.
"Risk and Insurance in Village India,"
Econometric Society, vol. 62(3), pages 539-591, May.
- Townsend, R.M., 1991. "Risk and Insurance in Village India," University of Chicago - Economics Research Center 91-3, Chicago - Economics Research Center.
- Robert M. Townsend, "undated". "Risk and Insurance in Village India," University of Chicago - Population Research Center 91-3a, Chicago - Population Research Center.
- 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.
When requesting a correction, please mention this item's handle: RePEc:uea:aepppr:2012_36. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Theodore Turocy)
If references are entirely missing, you can add them using this form.