Go For Broke or Play it Safe? Dynamic Competition with Choice of Variance
We consider a differential game in which the joint choices of the two players influences the variance, but not the mean, of the one-dimensional state variable. We interpret this state variable as a summary of how far ‘ahead’ player 1 is in the game. At each moment in time, players receive a flow pay-off which is a continuous, monotonic and bounded function of the state variable. We show that a Markov Perfect Equilibrium exists and has the property that patient players chose to play it safe when sufficiently ahead and to take risks when sufficiently behind. We also provide a simple condition that implies both players choose risky strategies when neither one is too far ahead, a situation that ensures a dominant player emerges ‘quickly’.
|Date of creation:||Feb 2004|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: 44 - 20 - 7183 8801
Fax: 44 - 20 - 7183 8820
|Order Information:|| Email: |
References listed on IDEAS
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.:
- Dutta, P.K., 1991. "What Do Discounted Optima Converge To? A Theory of Discount Rate Asymptotics in Economic Models," RCER Working Papers 264, University of Rochester - Center for Economic Research (RCER).
- Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
- Ericson, Richard & Pakes, Ariel, 1995. "Markov-Perfect Industry Dynamics: A Framework for Empirical Work," Review of Economic Studies, Wiley Blackwell, vol. 62(1), pages 53-82, January.
- Christopher Harris, 1993.
"Generalized Solutions of Stochastic Differential Games in One Dimension,"
0044, Boston University - Industry Studies Programme.
- Harris, C., 1993. "Generalized Solutions of Stochastic Differential Games in One Dimension," Papers 44, Boston University - Industry Studies Programme.
- Cabral, Luis M. B., 2002.
"Increasing Dominance with No Efficiency Effect,"
Journal of Economic Theory,
Elsevier, vol. 102(2), pages 471-479, February.
- Luis Cabral, 2000. "Increasing Dominance With No Efficiency Effect," Working Papers 00-06, New York University, Leonard N. Stern School of Business, Department of Economics.
- Cabral, L., 2000. "Increasing Dominance with No Efficiency Effect," New York University, Leonard N. Stern School Finance Department Working Paper Seires 00-06, New York University, Leonard N. Stern School of Business-.
- Dirk Bergemann & Juuso Valimaki, 2000.
"Entry and Vertical Differentiation,"
Cowles Foundation Discussion Papers
1277, Cowles Foundation for Research in Economics, Yale University.
- Cabral, Luis M B & Riordan, Michael H, 1994.
"The Learning Curve, Market Dominance, and Predatory Pricing,"
Econometric Society, vol. 62(5), pages 1115-40, September.
- Luis M.B. Cabral & Michael Riordan, 1992. "The Learning Curve, Market Dominance and Predatory Pricing," Papers 0039, Boston University - Industry Studies Programme.
- Cabral, L. & Riordan, M., 1992. "The Learning Curve, Market Dominance and Predatory Pricing," Papers 39, Boston University - Industry Studies Programme.
- Budd, Christopher & Harris, Christopher & Vickers, John, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 543-73, July.
- Tarun Khanna & Marco Iansiti, 1997. "Firm Asymmetries and Sequential R&D: Theory and Evidence from the Mainframe Computer Industry," Management Science, INFORMS, vol. 43(4), pages 405-421, April.
- Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, volume 1, number 5474.
When requesting a correction, please mention this item's handle: RePEc:cpr:ceprdp:4249. 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: ()The email address of this maintainer does not seem to be valid anymore. Please ask to update the entry or send us the correct address
If references are entirely missing, you can add them using this form.