IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v65y2018i2d10.1007_s00199-016-1022-z.html
   My bibliography  Save this article

Rational overconfidence and social security: subjective beliefs, objective welfare

Author

Listed:
  • Carsten Krabbe Nielsen

    (Università Cattolica)

Abstract

We propose general principles for policy decisions in the context of diverse beliefs, principles which are strictly between those used in the traditional neoclassical approach and those championed by behavioral economics. Like the neoclassical approach to policy choices, our principles are based on an assumption of individual rationality but broadens the requirements for efficiency to also include societal rationality. Rational overconfidence is present when equally informed agents hold diverse, confident rational beliefs. The fact that beliefs are diverse means that all of them cannot be correct, hence seen as a collective agents do not necessarily act optimally. In the presence of rational overconfidence, Pareto efficiency is no longer the natural criterion for comparing policies and we in stead propose a strengthened version of ex post welfare optimality, according to which welfare evaluations are objective. We apply our general principles to a particular policy issue, namely whether Social Security increases social welfare. We show that an assumption of bounded rationality is not needed to explain Social Security and other mandatory pension plans when rational agents hold inconsistent expectations about their future wealth and productivity or about the returns to their investments. Based on rational overconfidence, we provide a rationale for two of the features that distinguish Social Security and many other state mandated pension plans around the world: (i) that a minimum level of savings for retirement is imposed on most citizens and (ii) that individuals cannot freely decide how to invest their contributions.

Suggested Citation

  • Carsten Krabbe Nielsen, 2018. "Rational overconfidence and social security: subjective beliefs, objective welfare," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 179-229, March.
  • Handle: RePEc:spr:joecth:v:65:y:2018:i:2:d:10.1007_s00199-016-1022-z
    DOI: 10.1007/s00199-016-1022-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-016-1022-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00199-016-1022-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mordecai Kurz & Maurizio Motolese, 2011. "Diverse beliefs and time variability of risk premia," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 293-335, June.
    2. Terrance Odean., 1996. "Volume, Volatility, Price and Profit When All Trader Are Above Average," Research Program in Finance Working Papers RPF-266, University of California at Berkeley.
    3. Frankel, Jeffrey A & Froot, Kenneth A, 1987. "Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations," American Economic Review, American Economic Association, vol. 77(1), pages 133-153, March.
    4. Gottardi, Piero & Kubler, Felix, 2011. "Social security and risk sharing," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1078-1106, May.
    5. Hill , Brian & Danan , Eric, 2014. "Aggregating Tastes, Beliefs, and Attitudes Under Uncertainty," HEC Research Papers Series 1057, HEC Paris.
    6. William A. Branch, 2004. "The Theory of Rationally Heterogeneous Expectations: Evidence from Survey Data on Inflation Expectations," Economic Journal, Royal Economic Society, vol. 114(497), pages 592-621, July.
    7. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    8. Evans, George & Gulamani, Riyaz, 1984. "Tests for Rationality of the Carlson-Parkin Inflation Expectations Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 46(1), pages 1-19, February.
    9. Ito, Takatoshi, 1990. "Foreign Exchange Rate Expectations: Micro Survey Data," American Economic Review, American Economic Association, vol. 80(3), pages 434-449, June.
    10. Carsten Krabbe Nielsen, 2009. "Rational Overconfidence and Social Security," Discussion Paper Series 0916, Institute of Economic Research, Korea University.
    11. B. Douglas Bernheim & Antonio Rangel, 2005. "Behavioral Public Economics: Welfare and Policy Analysis with Non-Standard Decision-Makers," NBER Working Papers 11518, National Bureau of Economic Research, Inc.
    12. Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "No‐Betting‐Pareto Dominance," Econometrica, Econometric Society, vol. 82(4), pages 1405-1442, July.
    13. Kent Daniel & David Hirshleifer & Avanidhar Subrahmanyam, 1998. "Investor Psychology and Security Market Under- and Overreactions," Journal of Finance, American Finance Association, vol. 53(6), pages 1839-1885, December.
    14. Munnell, Alicia H., 1999. "Reforming Social Security: The Case Against Individual Accounts," National Tax Journal, National Tax Association;National Tax Journal, vol. 52(4), pages 803-818, December.
    15. Mordecai Kurz, 2001. "Heterogenous Forecasting and Federal Reserve Information," Working Papers 02002, Stanford University, Department of Economics.
    16. Carsten Nielsen, 2009. "Non-stationary, stable Markov processes on a continuous state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 473-496, September.
    17. Eric Danan & Thibault Gajdos & Brian Hill & Jean-Marc Tallon, 2016. "Robust Social Decisions," American Economic Review, American Economic Association, vol. 106(9), pages 2407-2425, September.
    18. Richard Harris, 1978. "Ex-Post Efficiency and Resource Allocation Under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 427-436.
    19. Souleles, Nicholas S, 2004. "Expectations, Heterogeneous Forecast Errors, and Consumption: Micro Evidence from the Michigan Consumer Sentiment Surveys," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(1), pages 39-72, February.
    20. Chavas, Jean-Paul, 2000. "On information and market dynamics: The case of the U.S. beef market," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 833-853, June.
    21. Carsten K. Nielsen, 2009. "Optimal economic institutions under rational overconfidence, with applications to the choice of exchange rate regime," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(4), pages 375-407, December.
    22. Ho-Mou Wu & Wen-Chung Guo, 2004. "Asset price volatility and trading volume with rational beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(4), pages 795-829, May.
    23. Martin Feldstein, 1985. "The Optimal Level of Social Security Benefits," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(2), pages 303-320.
    24. John Karl Scholz & Ananth Seshadri & Surachai Khitatrakun, 2006. "Are Americans Saving "Optimally" for Retirement?," Journal of Political Economy, University of Chicago Press, vol. 114(4), pages 607-643, August.
    25. Nielsen Carsten K, 2007. "Sunspot Rational Beliefs Structures, Equilibria and Excess Volatility," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-26, May.
    26. Hiroyuki Nakata, 2013. "Welfare effects of short-sale constraints under heterogeneous beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 283-314, June.
    27. Eric M. Engen & William G. Gale & Cori E. Uccello, 2004. "Lifetime Earnings, Social Security Benefits, and the Adequacy of Retirement Wealth Accumulation," Working Papers, Center for Retirement Research at Boston College wp2004-10, Center for Retirement Research, revised Apr 2004.
    28. Brian Wu & Anne Marie Knott, 2006. "Entrepreneurial Risk and Market Entry," Management Science, INFORMS, vol. 52(9), pages 1315-1330, September.
    29. Ross M. Starr, 1973. "Optimal Production and Allocation under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(1), pages 81-95.
    30. Carsten Krabbe Nielsen, 1996. "Rational belief structures and rational belief equilibria (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 399-422.
    31. Markus K. Brunnermeier & Alp Simsek & Wei Xiong, 2014. "A Welfare Criterion For Models With Distorted Beliefs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1753-1797.
    32. Kurz, Mordecai, 1994. "On the Structure and Diversity of Rational Beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(6), pages 877-900, October.
    33. Tabellini, Guido, 2000. " A Positive Theory of Social Security," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(3), pages 523-545, June.
    34. Martin Feldstein, 2005. "Rethinking Social Insurance," American Economic Review, American Economic Association, vol. 95(1), pages 1-24, March.
    35. Henrotte, Philippe, 1996. "Construction of a State Space for Interrelated Securities with an Application to Temporary Equilibrium Theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 423-459, October.
    36. James J. Choi & David Laibson & Brigitte C. Madrian, 2005. "Are Empowerment and Education Enough? Underdiversification in 401(k) Plans," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 36(2), pages 151-214.
    37. Gordon, Roger H. & Varian, Hal R., 1988. "Intergenerational risk sharing," Journal of Public Economics, Elsevier, vol. 37(2), pages 185-202, November.
    38. Guido Tabellini, 2000. "A Positive Theory of Social Security," Scandinavian Journal of Economics, Wiley Blackwell, vol. 102(3), pages 523-545, September.
    39. Carsten Krabbe Nielsen, 2003. "Floating exchange rates versus a monetary union under rational beliefs: the role of endogenous uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(2), pages 293-315, March.
    40. Samuelson, Paul A, 1975. "Optimum Social Security in a Life-Cycle Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(3), pages 539-544, October.
    41. Nielsen, Carsten Krabbe, 2008. "On rationally confident beliefs and rational overconfidence," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 381-404, May.
    42. Lee Hsien Loong & Richard Zeckhauser, 1982. "Pecuniary Externalities Do Matter When Contingent Claims Markets are Incomplete," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 97(1), pages 171-179.
    43. Varian, Hal R, 1985. "Divergence of Opinion in Complete Markets: A Note," Journal of Finance, American Finance Association, vol. 40(1), pages 309-317, March.
    44. Philippe Henrotte, 1996. "Construction of a state space for interrelated securities with an application to temporary equilibrium theory (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(3), pages 423-459.
    45. Hammond, Peter J, 1981. "Ex-ante and Ex-post Welfare Optimality under Uncertainty," Economica, London School of Economics and Political Science, vol. 48(191), pages 235-250, August.
    46. Agnew, Julie R., 2006. "Do Behavioral Biases Vary across Individuals? Evidence from Individual Level 401(k) Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 41(4), pages 939-962, December.
    47. Terrance Odean, 1998. "Volume, Volatility, Price, and Profit When All Traders Are Above Average," Journal of Finance, American Finance Association, vol. 53(6), pages 1887-1934, December.
    48. B. Douglas Bernheim & Antonio Rangel, 2007. "Toward Choice-Theoretic Foundations for Behavioral Welfare Economics," American Economic Review, American Economic Association, vol. 97(2), pages 464-470, May.
    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. Torben M. Andersen & Joydeep Bhattacharya, 2021. "Why mandate young borrowers to contribute to their retirement accounts?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 115-149, February.
    2. Wang, Weijia, 2019. "A Pareto Criterion on Systemic Risk," MPRA Paper 93699, University Library of Munich, Germany.
    3. Weijia Wang & Shaoan Huang, 2021. "Risk sharing and financial stability: a welfare analysis," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(1), pages 211-228, January.

    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. Carsten Krabbe Nielsen, 2009. "Rational Overconfidence and Social Security," Discussion Paper Series 0916, Institute of Economic Research, Korea University.
    2. Nielsen, Carsten Krabbe, 2008. "On rationally confident beliefs and rational overconfidence," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 381-404, May.
    3. Carsten Nielsen, 2011. "Price stabilizing, Pareto improving policies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(2), pages 459-500, June.
    4. Carsten K. Nielsen, 2009. "Optimal economic institutions under rational overconfidence, with applications to the choice of exchange rate regime," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(4), pages 375-407, December.
    5. Maurizio MOTOLESE & NAKATA Hiroyuki, 2016. "Endogenous Fluctuations and Social Welfare under Credit Constraints and Heterogeneous Beliefs," Discussion papers 16082, Research Institute of Economy, Trade and Industry (RIETI).
    6. Philippe Mongin & Marcus Pivato, 2020. "Social preference under twofold uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 633-663, October.
    7. Wang, Weijia, 2019. "A Pareto Criterion on Systemic Risk," MPRA Paper 93699, University Library of Munich, Germany.
    8. Weijia Wang & Shaoan Huang, 2021. "Risk sharing and financial stability: a welfare analysis," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 16(1), pages 211-228, January.
    9. Mordecai Kurz, 2007. "Rational Diverse Beliefs and Economic Volatility," Discussion Papers 06-045, Stanford Institute for Economic Policy Research.
    10. Markus K. Brunnermeier & Alp Simsek & Wei Xiong, 2014. "A Welfare Criterion For Models With Distorted Beliefs," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1753-1797.
    11. Zuber, Stéphane, 2016. "Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences," Journal of Mathematical Economics, Elsevier, vol. 63(C), pages 78-83.
    12. Carsten Nielsen, 2009. "Non-stationary, stable Markov processes on a continuous state space," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 473-496, September.
    13. Kurz, Mordecai, 2008. "Beauty contests under private information and diverse beliefs: How different?," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 762-784, July.
    14. Federica Ceron & Vassili Vergopoulos, 2017. "Aggregation of Bayesian preferences: Unanimity vs Monotonicity," Post-Print halshs-01539444, HAL.
    15. Hiroyuki Nakata, 2013. "Welfare effects of short-sale constraints under heterogeneous beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 283-314, June.
    16. Pivato, Marcus, 2022. "Bayesian social aggregation with accumulating evidence," Journal of Economic Theory, Elsevier, vol. 200(C).
    17. Federica Ceron & Vassili Vergopoulos, 2017. "Aggregation of Bayesian preferences: Unanimity vs Monotonicity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01539444, HAL.
    18. Federica Ceron & Vassili Vergopoulos, 2017. "Aggregation of Bayesian preferences: Unanimity vs Monotonicity," Documents de travail du Centre d'Economie de la Sorbonne 17028, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    19. M. Hashem Pesaran & Ida Johnsson, 2020. "Double-Question Survey Measures for the Analysis of Financial Bubbles and Crashes," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 38(2), pages 428-442, April.
    20. Kaname Miyagishima, 2022. "Efficiency, equity, and social rationality under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(1), pages 237-255, February.

    More about this item

    Keywords

    Subjective expectations; Rational beliefs; Ex post Welfare optimality; Societal rationality; Social security; Rational overconfidence; Portfolio choice;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D02 - Microeconomics - - General - - - Institutions: Design, Formation, Operations, and Impact
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

    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:spr:joecth:v:65:y:2018:i:2:d:10.1007_s00199-016-1022-z. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.