Repeated Games with Present-Biased Preferences
We study infinitely repeated games with observable actions, where players have present-biased (so-called beta-delta) preferences. We give a two-step procedure to characterize Strotz-Pollak equilibrium payoffs: compute the continuation payoff set using recursive techniques, and then use this set to characterize the equilibrium payoff set U(beta,delta). While Strotz-Pollak equilibrium and subgame perfection differ here, the generated paths and payoffs nonetheless coincide. We then explore the cost of the present-time bias. Fixing the total present value of 1 util flow, lower beta or higher delta shrinks the payoff set. Surprisingly, unless the minimax outcome is a Nash equilibrium of the stage game, the equilibrium payoff set U(beta,delta) is not separately monotonic in beta or delta. While U(beta,delta) is contained in payoff set of a standard repeated game with smaller discount factor, the present-time bias precludes any lower bound on U(beta,delta) that would easily generalize the beta=1 folk-theorem.
|Date of creation:||Jan 2006|
|Date of revision:|
|Publication status:||Published in Journal of Economic Theory (March 2008), 139(1): 157-175|
|Contact details of provider:|| Postal: |
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/
More information through EDIRC
|Order Information:|| Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA|
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.:
- Laibson, David I., 1997.
"Golden Eggs and Hyperbolic Discounting,"
4481499, Harvard University Department of Economics.
- Dilip Abreu & David Pearce & Ennio Stacchetti, 2010. "Towards a Theory of Discounted Repeated Games with Imperfect Monitoring," Levine's Working Paper Archive 199, David K. Levine.
- Ted O'Donoghue and Matthew Rabin ., 1997.
"Doing It Now or Later,"
Economics Working Papers
97-253, University of California at Berkeley.
- Ted O'Donoghue & Matthew Rabin, 1996. "Doing It Now or Later," Discussion Papers 1172, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- O'Donoghue, Ted & Rabin, Matthew, 1997. "Doing It Now or Later," Department of Economics, Working Paper Series qt7t44m5b0, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Stefano DellaVigna & M. Daniele Paserman, 2004.
"Job Search and Impatience,"
NBER Working Papers
10837, National Bureau of Economic Research, Inc.
- Peleg, Bezalel & Yaari, Menahem E, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," Review of Economic Studies, Wiley Blackwell, vol. 40(3), pages 391-401, July.
- Krusell, Per & Kuruscu, Burhanettin & Smith Jr., Anthony A, 2001.
"Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting,"
CEPR Discussion Papers
2693, C.E.P.R. Discussion Papers.
- Krusell, Per & Kuruscu, Burhanettin & Smith, Anthony Jr., 2002. "Equilibrium Welfare and Government Policy with Quasi-geometric Discounting," Journal of Economic Theory, Elsevier, vol. 105(1), pages 42-72, July.
- Per Krusell & Burhanettin Kuruscu & Anthony A. Smith Jr., 2001. "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," Temi di discussione (Economic working papers) 413, Bank of Italy, Economic Research and International Relations Area.
- Per Krusell & Burhanettin Kuruscu & Anthony A. Smtih, Jr., . "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," GSIA Working Papers 2001-06, Carnegie Mellon University, Tepper School of Business.
- Jonathan Gruber & Botond Köszegi, 2001. "Is Addiction "Rational"? Theory And Evidence," The Quarterly Journal of Economics, MIT Press, vol. 116(4), pages 1261-1303, November.
- Dilip Abreu & David Pearce & Ennio Stacchetti, 1997. "Optimal Cartel Equilibria with Imperfect monitoring," Levine's Working Paper Archive 632, David K. Levine.
- Fudenberg, Drew & Maskin, Eric, 1986. "The Folk Theorem in Repeated Games with Discounting or with Incomplete Information," Econometrica, Econometric Society, vol. 54(3), pages 533-54, May.
- Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-63, September.
- Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-96, March.
- Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
- Jonathan Gruber & Botond Koszegi, 2000. "Is Addiction "Rational"? Theory and Evidence," NBER Working Papers 7507, National Bureau of Economic Research, Inc.
- Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 533-37, April.
- Kocherlakota, Narayana R., 1996. "Reconsideration-Proofness: A Refinement for Infinite Horizon Time Inconsistency," Games and Economic Behavior, Elsevier, vol. 15(1), pages 33-54, July.
When requesting a correction, please mention this item's handle: RePEc:cwl:cwldpp:1555. 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: (Glena Ames)
If references are entirely missing, you can add them using this form.