Structural Equilibrium Characterization in the 'Perpetual Race to Stay Ahead'

10 Pages Posted: 19 Sep 2009

See all articles by Christopher J. Metcalf

Christopher J. Metcalf

U.S. Federal Trade Commission, Bureau of Economics

Date Written: March 1, 2009

Abstract

I find new results for the `Perpetual Race' analyzed in Horner 2004. The 'Perpetual Race' is an infinite horizon stochastic state space game for which Markov Perfect equilibria are characterized. My results characterize equilibrium strategy structure in a previously unexplored parameter region (spillovers) and offer a new impatience condition for the case examined by Horner (no spillovers). The technique, a generalization of an argument of Horner, uses the fact that a necessary condition for optimality is that an equilibrium strategy is deviation proof with respect to adjacent state pairs.

Keywords: Innovation, Stochastic Games, Markov Perfect Equilibrium

JEL Classification: C73, O31, L15

Suggested Citation

Metcalf, Christopher J., Structural Equilibrium Characterization in the 'Perpetual Race to Stay Ahead' (March 1, 2009). Available at SSRN: https://ssrn.com/abstract=1474826 or http://dx.doi.org/10.2139/ssrn.1474826

Christopher J. Metcalf (Contact Author)

U.S. Federal Trade Commission, Bureau of Economics ( email )

601 Pennsylvania Avenue, NW
Washington, DC 20580
United States

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