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’.
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- 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 & 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.
- Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, volume 1, number 5474.
- Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
- 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).
- 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.
- 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.
- Dirk Bergemann & Juuso Valimaki, 2000.
"Entry and Vertical Differentiation,"
Cowles Foundation Discussion Papers
1277, Cowles Foundation for Research in Economics, Yale University.
- Luis Cabral, 2000.
"Increasing Dominance With No Efficiency Effect,"
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-.
- 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.
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