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Econometrica Vol. 57 No. 5 1989

Extensive Form Games in Continuous Time: Pure Strategies

Leo K. Simon; Maxwell B. Stinchcombe

Abstract

A new framework for games in continuous time is proposed. The continuous-time model conforms as closely as possible to the conventional discrete-time framework. Indeed, continuous time is viewed as "discrete time, but with a grid that is infinitely fine." The paper presents several examples illustrating the difficulties that arise in continuous-time game theory. Theorems relate the equilibria of continuous time games to the equilibria of approximating discrete time games. A variety of industrial organization applications are studied, yielding sharp predictions. Applications include continuously repeated games, preemption models, and patent races.

DOI
10.2307/1913627
Volume
57
Issue
5
Pages
1171
Sources
bibtex:phds-export.bib openalex crossref

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