Uniqueness in infinitely repeated decision problems
AbstractDynamic decision-making without commitment is usually modelled as a game between the current and future selves of the decision maker. It has been observed that if the time-horizon is infinite, then such games may have multiple subgame-perfect equilibrium solutions. We provide a sufficient condition for uniqueness in a class of such games, namely infinitely repeated decision problems with discounting. The condition is two-fold: the range of possible utility levels in the decision problem should be bounded from below, and the discount function should exhibit weakly increasing patience, that is, the ratio between the discount factors attached to periods t + 1 and t should be non-decreasing in t, a condition met by exponential, quasi-exponential and hyperbolic discounting.
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Bibliographic InfoPaper provided by HEC Paris in its series Les Cahiers de Recherche with number 755.
Length: 15 pages
Date of creation: 16 Apr 2002
Date of revision:
game theory; time preference; hyperbolic discounting; repeated decision problems;
Other versions of this item:
- Vieille, Nicolas & Weibull, Jörgen W., 2002. "Uniqueness in Infinitely Repeated Decision Problems," Working Paper Series 577, Research Institute of Industrial Economics.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D90 - Microeconomics - - Intertemporal Choice - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2002-12-09 (All new papers)
- NEP-CDM-2002-12-09 (Collective Decision-Making)
- NEP-GTH-2002-12-09 (Game Theory)
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.:
- Geir B. Asheim, 1995.
"Individual and Collective Time-Consistency,"
1128, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Asheim, G.B., 1996. "Individual and Collective Time-Consistency," Memorandum 20/1996, Oslo University, Department of Economics.
- Asheim, G.B., 1991. "Individual and Collective Time Consistency," Papers 9169, Tilburg - Center for Economic Research.
- Asheim, G., 1991. "Individual and Collective Time Consistency," Discussion Paper 1991-69, Tilburg University, Center for Economic Research.
- 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.
- Sáez-Martí, María & Weibull, Jörgen W., 2002. "Discounting and Future Selves," Working Paper Series 575, Research Institute of Industrial Economics.
- Harris, Christopher & Laibson, David, 2001.
"Dynamic Choices of Hyperbolic Consumers,"
Econometric Society, vol. 69(4), pages 935-57, July.
- Christopher Harris & David Laibson, 1999. "Dynamic Choices of Hyperbolic Consumers," Harvard Institute of Economic Research Working Papers 1886, Harvard - Institute of Economic Research.
- 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.
- Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 533-37, April.
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