IDEAS home Printed from https://ideas.repec.org/p/rco/dpaper/159.html
   My bibliography  Save this paper

Magnitude Effect in Intertemporal Allocation Tasks

Author

Listed:
  • Sun, Chen

    (HU Berlin)

  • Potters, Jan

    (Tilburg University)

Abstract

We investigate how intertemporal allocation of monetary rewards is influenced by the size of total budget, with a particular interest in the channels of influence. We find a significant magnitude effect: the budget share allocated to the later date increases with the size of the budget. At the aggregate level as well as at the individual level, we find magnitude effects both on the discount rate and on intertemporal substitutability (i.e. utility curvature). The latter effect is consistent with theories in which the degree of asset integration is increasing in the stake.

Suggested Citation

  • Sun, Chen & Potters, Jan, 2019. "Magnitude Effect in Intertemporal Allocation Tasks," Rationality and Competition Discussion Paper Series 159, CRC TRR 190 Rationality and Competition.
    • Handle: RePEc:rco:dpaper:159
    as

    Download full text from publisher

    File URL: https://rationality-and-competition.de/wp-content/uploads/discussion_paper/159.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Matthias Sutter & Martin G. Kocher & Daniela Glätzle-Rützler & Stefan T. Trautmann, 2013. "Impatience and Uncertainty: Experimental Decisions Predict Adolescents' Field Behavior," American Economic Review, American Economic Association, vol. 103(1), pages 510-531, February.
    2. James Andreoni & Charles Sprenger, 2012. "Estimating Time Preferences from Convex Budgets," American Economic Review, American Economic Association, vol. 102(7), pages 3333-3356, December.
    3. Manel Baucells & Franz H. Heukamp, 2012. "Probability and Time Trade-Off," Management Science, INFORMS, vol. 58(4), pages 831-842, April.
    4. Thaler, Richard, 1981. "Some empirical evidence on dynamic inconsistency," Economics Letters, Elsevier, vol. 8(3), pages 201-207.
    5. Anujit Chakraborty & Evan M. Calford & Guidon Fenig & Yoram Halevy, 2017. "External and internal consistency of choices made in convex time budgets," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 687-706, September.
    6. Yoram Halevy, 2015. "Time Consistency: Stationarity and Time Invariance," Econometrica, Econometric Society, vol. 83, pages 335-352, January.
    7. Mohammed Abdellaoui & Han Bleichrodt & Olivier l'Haridon & Corina Paraschiv, 2013. "Is There One Unifying Concept of Utility?An Experimental Comparison of Utility Under Risk and Utility Over Time," Management Science, INFORMS, vol. 59(9), pages 2153-2169, September.
    8. James H. Holcomb & Paul S. Nelson, 1992. "Another Experimental Look at Individual Time Preference," Rationality and Society, , vol. 4(2), pages 199-220, April.
    9. Stephan Meier & Charles Sprenger, 2010. "Present-Biased Preferences and Credit Card Borrowing," American Economic Journal: Applied Economics, American Economic Association, vol. 2(1), pages 193-210, January.
    10. Keren, Gideon & Roelofsma, Peter, 1995. "Immediacy and Certainty in Intertemporal Choice," Organizational Behavior and Human Decision Processes, Elsevier, vol. 63(3), pages 287-297, September.
    11. 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.
    12. Epper, Thomas, 2015. "Income Expectations, Limited Liquidity, and Anomalies in Intertemporal Choice," Economics Working Paper Series 1519, University of St. Gallen, School of Economics and Political Science.
    13. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    14. 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.
    15. Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    16. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 29-42.
    17. Larry G. Epstein & Stanley E. Zin, 2013. "Substitution, risk aversion and the temporal behavior of consumption and asset returns: A theoretical framework," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 12, pages 207-239, World Scientific Publishing Co. Pte. Ltd..
    18. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
    19. Ranoua Bouchouicha & Ferdinand M. Vieider, 2017. "Accommodating stake effects under prospect theory," Journal of Risk and Uncertainty, Springer, vol. 55(1), pages 1-28, August.
    20. Noor, Jawwad, 2011. "Intertemporal choice and the magnitude effect," Games and Economic Behavior, Elsevier, vol. 72(1), pages 255-270, May.
    21. Stein T. Holden & John Quiggin, 2017. "Bounded awareness and anomalies in intertemporal choice: Zooming in Google Earth as both metaphor and model," Journal of Risk and Uncertainty, Springer, vol. 54(1), pages 15-35, February.
    22. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
    23. Kachelmeier, Steven J & Shehata, Mohamed, 1992. "Examining Risk Preferences under High Monetary Incentives: Experimental Evidence from the People's Republic of China," American Economic Review, American Economic Association, vol. 82(5), pages 1120-1141, December.
    24. Mohammed Abdellaoui & Han Bleichrodt & Olivier l’Haridon, 2013. "Sign-dependence in intertemporal choice," Journal of Risk and Uncertainty, Springer, vol. 47(3), pages 225-253, December.
    25. Antoine Bommier, 2007. "Risk Aversion, Intertemporal Elasticity of Substitution and Correlation Aversion," Economics Bulletin, AccessEcon, vol. 4(29), pages 1-8.
    26. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    27. Loewenstein, George & Thaler, Richard H, 1989. "Intertemporal Choice," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 181-193, Fall.
    28. Andreoni, James & Kuhn, Michael A. & Sprenger, Charles, 2015. "Measuring time preferences: A comparison of experimental methods," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 451-464.
    29. Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
    30. Stephen L. Cheung, 2015. "Risk Preferences Are Not Time Preferences: On the Elicitation of Time Preference under Conditions of Risk: Comment," American Economic Review, American Economic Association, vol. 105(7), pages 2242-2260, July.
    31. Steffen Andersen & Glenn W. Harrison & Morten Lau & Elisabet E. Rutstroem, 2011. "Discounting Behavior and the Magnitude Effect," Working Papers 2011_02, Durham University Business School.
    32. Ned Augenblick & Muriel Niederle & Charles Sprenger, 2015. "Editor's Choice Working over Time: Dynamic Inconsistency in Real Effort Tasks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 130(3), pages 1067-1115.
    33. 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.
    34. Binswanger, Hans P, 1981. "Attitudes toward Risk: Theoretical Implications of an Experiment in Rural India," Economic Journal, Royal Economic Society, vol. 91(364), pages 867-890, December.
    35. Steffen Andersen & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström, 2013. "Discounting Behaviour and the Magnitude Effect: Evidence from a Field Experiment in Denmark," Economica, London School of Economics and Political Science, vol. 80(320), pages 670-697, October.
    36. Benhabib, Jess & Bisin, Alberto, 2005. "Modeling internal commitment mechanisms and self-control: A neuroeconomics approach to consumption-saving decisions," Games and Economic Behavior, Elsevier, vol. 52(2), pages 460-492, August.
    37. Glenn W. Harrison & Eric Johnson & Melayne M. McInnes & E. Elisabet Rutström, 2005. "Risk Aversion and Incentive Effects: Comment," American Economic Review, American Economic Association, vol. 95(3), pages 897-901, June.
    38. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
    39. Steffen Andersen & James C. Cox & Glenn W. Harrison & Morten I. Lau & E. Elisabet Rutström & Vjollca Sadiraj, 2018. "Asset Integration and Attitudes toward Risk: Theory and Evidence," The Review of Economics and Statistics, MIT Press, vol. 100(5), pages 816-830, December.
    40. Bin Miao & Songfa Zhong, 2015. "Risk Preferences Are Not Time Preferences: Separating Risk and Time Preference: Comment," American Economic Review, American Economic Association, vol. 105(7), pages 2272-2286, July.
    41. 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.
    42. James Andreoni & Michael A. Kuhn & Charles Sprenger, 2013. "On Measuring Time Preferences," NBER Working Papers 19392, National Bureau of Economic Research, Inc.
    43. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Uttara Balakrishnan & Johannes Haushofer & Pamela Jakiela, 2020. "How soon is now? Evidence of present bias from convex time budget experiments," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 294-321, June.
    2. Anujit Chakraborty & Evan M. Calford & Guidon Fenig & Yoram Halevy, 2017. "External and internal consistency of choices made in convex time budgets," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 687-706, September.
    3. Sun, Chen, 2018. "Experiments on intertemporal choices and belief change," Other publications TiSEM 0e1ad2b5-e3fb-494f-92ad-a, Tilburg University, School of Economics and Management.
    4. Jawwad Noor & Norio Takeoka, 2022. "Optimal Discounting," Econometrica, Econometric Society, vol. 90(2), pages 585-623, March.
    5. Chen Sun, 2023. "Measuring Preferences Over Intertemporal Profiles," Rationality and Competition Discussion Paper Series 386, CRC TRR 190 Rationality and Competition.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen Sun, 2023. "Measuring Preferences Over Intertemporal Profiles," Rationality and Competition Discussion Paper Series 386, CRC TRR 190 Rationality and Competition.
    2. Stein T. Holden & Dag Einar Sommervoll & Mesfin Tilahun, 2022. "Mental Zooming as Variable Asset Integration in Inter-Temporal Choice," International Journal of Applied Behavioral Economics (IJABE), IGI Global, vol. 11(1), pages 1-21, January.
    3. Stephen L. Cheung, 2020. "Eliciting utility curvature in time preference," Experimental Economics, Springer;Economic Science Association, vol. 23(2), pages 493-525, June.
    4. Stephen L. Cheung & Agnieszka Tymula & Xueting Wang, 2022. "Present bias for monetary and dietary rewards," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1202-1233, September.
    5. Adriani, Fabrizio & Sonderegger, Silvia, 2020. "Optimal similarity judgments in intertemporal choice (and beyond)," Journal of Economic Theory, Elsevier, vol. 190(C).
    6. Balbus, Łukasz & Reffett, Kevin & Woźny, Łukasz, 2022. "Time-consistent equilibria in dynamic models with recursive payoffs and behavioral discounting," Journal of Economic Theory, Elsevier, vol. 204(C).
    7. Cheung, Stephen L. & Tymula, Agnieszka & Wang, Xueting, 2020. "Present Bias for Monetary and Dietary Rewards: Evidence from Chinese Teenagers," IZA Discussion Papers 13406, Institute of Labor Economics (IZA).
    8. W. David Bradford & Paul Dolan & Matteo M. Galizzi, 2019. "Looking ahead: Subjective time perception and individual discounting," Journal of Risk and Uncertainty, Springer, vol. 58(1), pages 43-69, February.
    9. Kirsten I. M. Rohde, 2019. "Measuring Decreasing and Increasing Impatience," Management Science, INFORMS, vol. 65(4), pages 1700-1716, April.
    10. Patrick DeJarnette & David Dillenberger & Daniel Gottlieb & Pietro Ortoleva, 2020. "Time Lotteries and Stochastic Impatience," Econometrica, Econometric Society, vol. 88(2), pages 619-656, March.
    11. Shotaro Shiba & Kazumi Shimizu, 2017. "Does Time Inconsistency Differ between Gain and Loss? An Intra-Personal Comparison Using a Non-Parametric Designed Experimen," Working Papers 1714, Waseda University, Faculty of Political Science and Economics.
    12. 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.
    13. Ubfal, Diego, 2016. "How general are time preferences? Eliciting good-specific discount rates," Journal of Development Economics, Elsevier, vol. 118(C), pages 150-170.
    14. Galizzi, Matteo M. & Miraldo, Marisa & Stavropoulou, Charitini & van der Pol, Marjon, 2016. "Doctor–patient differences in risk and time preferences: A field experiment," Journal of Health Economics, Elsevier, vol. 50(C), pages 171-182.
    15. Holden, Stein T. & Tilahun, Mesfin & Sommervoll, Dag Einar, 2020. "Magnitude Effects and Utility Curvature in Inter-temporal Choice," CLTS Working Papers 8/20, Norwegian University of Life Sciences, Centre for Land Tenure Studies.
    16. Irvine, Alastair & van der Pol, Marjon & Phimister, Euan, 2019. "A comparison of professional and private time preferences of General Practitioners," Social Science & Medicine, Elsevier, vol. 222(C), pages 256-264.
    17. Reuben, Ernesto & Sapienza, Paola & Zingales, Luigi, 2015. "Procrastination and impatience," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 58(C), pages 63-76.
    18. Laurent Denant-Boemont & Enrico Diecidue & Olivier l’Haridon, 2017. "Patience and time consistency in collective decisions," Experimental Economics, Springer;Economic Science Association, vol. 20(1), pages 181-208, March.
    19. Cheung, Stephen L., 2016. "Recent developments in the experimental elicitation of time preference," Journal of Behavioral and Experimental Finance, Elsevier, vol. 11(C), pages 1-8.
    20. Rodriguez-Lara, Ismael & Ponti, Giovanni, 2017. "Social motives vs social influence: An experiment on interdependent time preferences," Games and Economic Behavior, Elsevier, vol. 105(C), pages 177-194.

    More about this item

    Keywords

    time preference; magnitude effect; convex time budget method;
    All these keywords.

    JEL classification:

    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:rco:dpaper:159. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Viviana Lalli (email available below). General contact details of provider: https://rationality-and-competition.de .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.