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Naiveté and sophistication in dynamic inconsistency

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  • Méder, Zsombor Z.
  • Flesch, János
  • Peeters, Ronald

Abstract

This paper introduces a general framework for dealing with dynamic inconsistency in the context of Markov decision problems. It decouples and examines concepts that are often entwined in the literature. It distinguishes between the decision maker and her various temporal selves, and between the beliefs and intentions of the selves. The creation of a unified formalism to deal with dynamic inconsistency allows for the introduction of a hybrid decision maker, who is naive sometimes, sophisticated at others. Such a hybrid decision maker can be used to model situations where type determination is endogenous. Interestingly, the analysis of hybrid types indicates that self-deception can be optimal.

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  • Méder, Zsombor Z. & Flesch, János & Peeters, Ronald, 2017. "Naiveté and sophistication in dynamic inconsistency," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 40-54.
    • Handle: RePEc:eee:matsoc:v:87:y:2017:i:c:p:40-54
    DOI: 10.1016/j.mathsocsci.2017.02.002
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    1. Andersen, Steffen & Harrison, Glenn W. & Lau, Morten I. & Rutström, E. Elisabet, 2014. "Discounting behavior: A reconsideration," European Economic Review, Elsevier, vol. 71(C), pages 15-33.
    2. David K. Levine & Drew Fudenberg, 2006. "A Dual-Self Model of Impulse Control," American Economic Review, American Economic Association, vol. 96(5), pages 1449-1476, December.
    3. Philippe Jehiel & Andrew Lilico, 2010. "Smoking Today and Stopping Tomorrow: a Limited Foresight Perspective," CESifo Economic Studies, CESifo Group, vol. 56(2), pages 141-164, June.
    4. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    5. Isabelle Brocas & Juan D. Carrillo, 2008. "The Brain as a Hierarchical Organization," American Economic Review, American Economic Association, vol. 98(4), pages 1312-1346, September.
    6. Ted O'Donoghue & Matthew Rabin, 2001. "Choice and Procrastination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 121-160.
    7. Drew Fudenberg & David K. Levine, 2012. "Timing and Self‐Control," Econometrica, Econometric Society, vol. 80(1), pages 1-42, January.
    8. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    9. Kfir Eliaz & Ran Spiegler, 2006. "Contracting with Diversely Naive Agents," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 689-714.
    10. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    11. Jonathan Gruber & Botond Köszegi, 2001. "Is Addiction "Rational"? Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(4), pages 1261-1303.
    12. Asheim, Geir B., 2007. "Procrastination, partial naivete, and behavioral welfare analysis," Memorandum 02/2007, Oslo University, Department of Economics.
    13. Dilip Soman & George Ainslie & Shane Frederick & Xiuping Li & John Lynch & Page Moreau & Andrew Mitchell & Daniel Read & Alan Sawyer & Yaacov Trope & Klaus Wertenbroch & Gal Zauberman, 2005. "The Psychology of Intertemporal Discounting: Why are Distant Events Valued Differently from Proximal Ones?," Marketing Letters, Springer, vol. 16(3), pages 347-360, December.
    14. Daniel Read & Shane Frederick & Burcu Orsel & Juwaria Rahman, 2005. "Four Score and Seven Years from Now: The Date/Delay Effect in Temporal Discounting," Management Science, INFORMS, vol. 51(9), pages 1326-1335, September.
    15. Antoine Bommier, 2006. "Uncertain Lifetime And Intertemporal Choice: Risk Aversion As A Rationale For Time Discounting," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(4), pages 1223-1246, November.
    16. B. Douglas Bernheim & Antonio Rangel, 2004. "Addiction and Cue-Triggered Decision Processes," American Economic Review, American Economic Association, vol. 94(5), pages 1558-1590, December.
    17. Charles Blackorby & David Nissen & Daniel Primont & R. Robert Russell, 1973. "Consistent Intertemporal Decision Making," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(2), pages 239-248.
    18. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    19. Ted O'Donoghue & Matthew Rabin, 1999. "Incentives for Procrastinators," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 769-816.
    20. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
    21. 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.
    22. Thaler, Richard H & Shefrin, H M, 1981. "An Economic Theory of Self-Control," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 392-406, April.
    23. Juan D. Carrillo & Thomas Mariotti, 2000. "Strategic Ignorance as a Self-Disciplining Device," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 529-544.
    24. Saez-Marti, Maria & Weibull, Jorgen W., 2005. "Discounting and altruism to future decision-makers," Journal of Economic Theory, Elsevier, vol. 122(2), pages 254-266, June.
    25. Drew Fudenberg & David Levine, 2008. "Subgame–Perfect Equilibria of Finite– and Infinite–Horizon Games," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 1, pages 3-20, World Scientific Publishing Co. Pte. Ltd..
    26. Paul Heidhues & Botond Kőszegi, 2009. "Futile Attempts at Self-Control," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 423-434, 04-05.
    27. S. Nageeb Ali, 2011. "Learning Self-Control," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(2), pages 857-893.
    28. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    29. George-Marios Angeletos & David Laibson & Andrea Repetto & Jeremy Tobacman & Stephen Weinberg, 2001. "The Hyberbolic Consumption Model: Calibration, Simulation, and Empirical Evaluation," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 47-68, Summer.
    30. Yianis Sarafidis, 2004. "Inter-temporal Price Discrimination with Time Inconsistent Consumers," Econometric Society 2004 North American Summer Meetings 479, Econometric Society.
    31. Christian W. Bach & Conrad Heilmann, 2011. "Agent Connectedness And Backward Induction," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 13(02), pages 195-208.
    32. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    33. Stefano DellaVigna & Ulrike Malmendier, 2006. "Paying Not to Go to the Gym," American Economic Review, American Economic Association, vol. 96(3), pages 694-719, June.
    34. P. Herings & Kirsten Rohde, 2006. "Time-inconsistent preferences in a general equilibrium model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 591-619, November.
    35. Daniel Kahneman & Peter P. Wakker & Rakesh Sarin, 1997. "Back to Bentham? Explorations of Experienced Utility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 375-406.
    36. McClennen,Edward F., 1990. "Rationality and Dynamic Choice," Cambridge Books, Cambridge University Press, number 9780521360470, September.
    37. Stefano DellaVigna & Ulrike Malmendier, 2004. "Contract Design and Self-Control: Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 353-402.
    38. P. Herings & Kirsten Rohde, 2008. "On the completeness of complete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(2), pages 171-201, November.
    39. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    40. Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 391-401.
    41. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-1162, June.
    42. Akerlof, George A, 1991. "Procrastination and Obedience," American Economic Review, American Economic Association, vol. 81(2), pages 1-19, May.
    43. Azfar, Omar, 1999. "Rationalizing hyperbolic discounting," Journal of Economic Behavior & Organization, Elsevier, vol. 38(2), pages 245-252, February.
    44. Fischer, Carolyn, 1999. "Read This Paper Even Later: Procrastination with Time-Inconsistent Preferences," RFF Working Paper Series dp-99-20, Resources for the Future.
    45. Loewenstein, George & Thaler, Richard H, 1989. "Intertemporal Choice," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 181-193, Fall.
    46. Nicolas Vieille & Jörgen Weibull, 2009. "Multiple solutions under quasi-exponential discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 513-526, June.
    47. Sáez-Martí, María & Weibull, Jörgen W., 2002. "Discounting and Future Selves," Working Paper Series 575, Research Institute of Industrial Economics.
    48. Gilpatric, Scott M., 2008. "Present-biased preferences, self-awareness and shirking," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 735-754, September.
    49. Peter J. Hammond, 1976. "Changing Tastes and Coherent Dynamic Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 159-173.
    50. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    51. André Lapied & Olivier Renault, 2012. "A subjective discounted utility model," Economics Bulletin, AccessEcon, vol. 32(2), pages 1171-1179.
    52. Benabou, Roland & Pycia, Marek, 2002. "Dynamic inconsistency and self-control: a planner-doer interpretation," Economics Letters, Elsevier, vol. 77(3), pages 419-424, November.
    53. Benhabib, Jess & Bisin, Alberto & Schotter, Andrew, 2010. "Present-bias, quasi-hyperbolic discounting, and fixed costs," Games and Economic Behavior, Elsevier, vol. 69(2), pages 205-223, July.
    54. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
    55. Paul A. Samuelson, 1937. "A Note on Measurement of Utility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 4(2), pages 155-161.
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    1. Borissov, Kirill & Pakhnin, Mikhail & Wendner, Ronald, 2024. "General equilibrium and dynamic inconsistency," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    2. Zhao, Qian & Wang, Rongming & Wei, Jiaqin, 2016. "Exponential utility maximization for an insurer with time-inconsistent preferences," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 89-104.
    3. Flesch, János & Méder, Zsombor Z. & Peeters, Ronald & Sarafidis, Yianis, 2023. "Intertemporal price discrimination with time-inconsistent consumers," Mathematical Social Sciences, Elsevier, vol. 126(C), pages 42-47.

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