Repeated Games with Present-Biased Preferences
AbstractWe 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 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 do 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 monotonic in (beta) or (delta). While the set U(beta, delta) is contained in that of a standard repeated game with greater discount factor, the present-time bias precludes any lower bound on U(beta, delta) that would easily generalize the (beta) = 1 folk-theorem.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Department of Economics, W. P. Carey School of Business, Arizona State University in its series Working Papers with number 2173938.
Date of creation:
Date of revision:
Other versions of this item:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
This paper has been announced in the following NEP Reports:
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.:
- 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.
- Laibson, David I., 1997.
"Golden Eggs and Hyperbolic Discounting,"
4481499, Harvard University Department of Economics.
- 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.
- 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. Smtih, Jr., . "Equilibrium Welfare and Government Policy with Quasi-Geometric Discounting," GSIA Working Papers 2001-06, Carnegie Mellon University, Tepper School of Business.
- 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.
- 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.
- 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.
- Matthew Rabin & Ted O'Donoghue, 1999.
"Doing It Now or Later,"
American Economic Review,
American Economic Association, vol. 89(1), pages 103-124, March.
- 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, 2005.
"Job Search and Impatience,"
Journal of Labor Economics,
University of Chicago Press, vol. 23(3), pages 527-588, July.
- 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.
- 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.
- 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.
- 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.
- Goldman, Steven M, 1980. "Consistent Plans," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 533-37, April.
- John Duffy & Felix Munoz-Garcia, 2009.
"Patience or Fairness? Analyzing Social Preferences in Repeated Games,"
2009-12, School of Economic Sciences, Washington State University.
- John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, Open Access Journal, vol. 3(1), pages 56-77, March.
- John Duffy & Felix Munoz-Garcia, 2009. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Working Papers 383, University of Pittsburgh, Department of Economics, revised May 2009.
- Akin, Zafer, 2009.
"Imperfect information processing in sequential bargaining games with present biased preferences,"
Journal of Economic Psychology,
Elsevier, vol. 30(4), pages 642-650, August.
- Zafer Akin, 2008. "Imperfect Information Processing in Sequential Bargaining Games with Present Biased Preferences," Working Papers 0810, TOBB University of Economics and Technology, Department of Economics.
- Bernergård, Axel, 2011. "Folk Theorems for Present-Biased Players," Working Paper Series in Economics and Finance 736, Stockholm School of Economics.
- Doraszelski, Ulrich & Escobar, Juan F., 2012. "Restricted feedback in long term relationships," Journal of Economic Theory, Elsevier, vol. 147(1), pages 142-161.
- Yılmaz, Murat, 2013. "Repeated moral hazard with a time-inconsistent agent," Journal of Economic Behavior & Organization, Elsevier, vol. 95(C), pages 70-89.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Steve Salik).
If references are entirely missing, you can add them using this form.