Gradualism and Irreversibility
This paper considers a class of two-player dynamic games in which each player controls a one-dimensional variable which we interpret as a level of cooperation. In the base model, there is an irreversibility constraint stating that this variable can never be reduced, only increased. It otherwise satisfies the usual discounted repeated game assumptions. Under certain restrictions on the payoff function, which make the stage game resemble a continuous version of the Prisoners' Dilemma, we characterize efficient symmetric quilibria. Efficient cooperation levels exhibit gradualism and converge, when payoffs are smooth, to a level strictly below the one-shot efficient level: the irreversibility induces a steady-state as well as a dynamic inefficiency. As players become very patient, however, payoffs converge to (though never attain) the efficient level. We also show that a related model in which an irreversibility arises through players choosing an incremental variable, such as investment, can be transformed into the base model with similar results. An application to a public goods sequential contribution model is discussed. The analysis is extended to incorporate sequential moves, asymmetric equilibria and partial reversibility.
|Date of creation:||15 Dec 1999|
|Date of revision:|
|Contact details of provider:|| Postal: School of Economics and Finance, University of St. Andrews, Fife KY16 9AL|
Phone: 01334 462420
Fax: 01334 462444
Web page: http://www.st-andrews.ac.uk/economics/
More information through EDIRC
|Order Information:|| Email: |
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.:
- Fershtman, Chaim & Nitzan, Shmuel, 1991.
"Dynamic voluntary provision of public goods,"
European Economic Review,
Elsevier, vol. 35(5), pages 1057-1067, July.
- Pankaj Ghemawat & Barry Nalebuff, 1990. "The Devolution of Declining Industries," The Quarterly Journal of Economics, Oxford University Press, vol. 105(1), pages 167-186.
- Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 259-276.
When requesting a correction, please mention this item's handle: RePEc:san:wpecon:9909. 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 School of Economics)
If references are entirely missing, you can add them using this form.