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Review of Economic Studies Vol. 69 No. 2 2002

Gradualism and Irreversibility

Ben Lockwood1; Jonathan P. Thomas2

1 University of Warwick · 2 University of St Andrews

Abstract

This paper considers a class of two-player dynamic games in which each player controls a one-dimensional action variable, interpreted as a level of cooperation. The dynamics are due to an irreversibility constraint: neither player can ever reduce his cooperation level. Payoffs are decreasing in one's own action, increasing in one's opponent's action. We characterize efficient symmetric equilibrium action paths; actions rise gradually over time and converge, when payoffs are smooth, to a level strictly below the one-shot efficient level, no matter how little discounting takes place. The analysis is extended to incorporate sequential moves and asymmetric equilibria.

DOI
10.1111/1467-937x.00208
Volume
69
Issue
2
Pages
339-356
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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