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Performance cycles

Author

Listed:
  • David Lagziel

    (Ben-Gurion University of the Negev)

  • Ehud Lehrer

    (Durham University)

Abstract

A decision maker repeatedly exerts efforts to produce new outputs, while being compensated based on his past and current production levels. We show that the decision maker’s optimal strategy dictates a cyclic oscillatory performance whenever the compensation depends on recent past performance. We apply our model to various economic settings such as the delegated portfolio-managers problem, an R &D investment problem, and a dynamic advertising problem.

Suggested Citation

  • David Lagziel & Ehud Lehrer, 2024. "Performance cycles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 999-1024, June.
    • Handle: RePEc:spr:joecth:v:77:y:2024:i:4:d:10.1007_s00199-023-01516-x
    DOI: 10.1007/s00199-023-01516-x
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    1. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    2. Lagziel, David & Lehrer, Ehud, 2018. "Reward schemes," Games and Economic Behavior, Elsevier, vol. 107(C), pages 21-40.
    3. Brock, William A. & Scheinkman, JoseA., 1976. "Global asymptotic stability of optimal control systems with applications to the theory of economic growth," Journal of Economic Theory, Elsevier, vol. 12(1), pages 164-190, February.
    4. Cass, David & Shell, Karl, 1976. "The structure and stability of competitive dynamical systems," Journal of Economic Theory, Elsevier, vol. 12(1), pages 31-70, February.
    5. Laurent Barras & Olivier Scaillet & Russ Wermers, 2010. "False Discoveries in Mutual Fund Performance: Measuring Luck in Estimated Alphas," Journal of Finance, American Finance Association, vol. 65(1), pages 179-216, February.
    6. Fudenberg, Drew & Levine, David K., 1999. "An Easier Way to Calibrate," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 131-137, October.
    7. Admati, Anat R & Pfleiderer, Paul, 1997. "Does It All Add Up? Benchmarks and the Compensation of Active Portfolio Managers," The Journal of Business, University of Chicago Press, vol. 70(3), pages 323-350, July.
    8. Peter M. DeMarzo & Michael J. Fishman, 2007. "Optimal Long-Term Financial Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 20(6), pages 2079-2128, November.
    9. Jonathan B. Berk & Richard C. Green, 2004. "Mutual Fund Flows and Performance in Rational Markets," Journal of Political Economy, University of Chicago Press, vol. 112(6), pages 1269-1295, December.
    10. Chen, Daniel L. & Moskowitz, Tobias J. & Shue, Kelly, 2016. "Decision-Making Under the Gambler’s Fallacy: Evidence From Asylum Courts, Loan Officers, and Baseball Umpires," IAST Working Papers 16-43, Institute for Advanced Study in Toulouse (IAST).
    11. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    12. Thomas Dangl & Youchang Wu & Josef Zechner, 2008. "Market Discipline and Internal Governance in the Mutual Fund Industry," The Review of Financial Studies, Society for Financial Studies, vol. 21(5), pages 2307-2343, September.
    13. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-1175, September.
    14. Daniel L. Chen & Tobias J. Moskowitz & Kelly Shue, 2016. "Decision Making Under the Gambler’s Fallacy: Evidence from Asylum Judges, Loan Officers, and Baseball Umpires," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1181-1242.
    15. Lehrer, Ehud, 2001. "Any Inspection Is Manipulable," Econometrica, Econometric Society, vol. 69(5), pages 1333-1347, September.
    16. Alexandre Scheinkman, Jose, 1976. "On optimal steady states of n-sector growth models when utility is discounted," Journal of Economic Theory, Elsevier, vol. 12(1), pages 11-30, February.
    17. Bengt Holmström, 1999. "Managerial Incentive Problems: A Dynamic Perspective," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 169-182.
    18. Anthony W. Lynch & David K. Musto, 2003. "How Investors Interpret Past Fund Returns," Journal of Finance, American Finance Association, vol. 58(5), pages 2033-2058, October.
    19. Jeffrey A. Busse & Amit Goyal & Sunil Wahal, 2010. "Performance and Persistence in Institutional Investment Management," Journal of Finance, American Finance Association, vol. 65(2), pages 765-790, April.
    20. Rakowski, David, 2010. "Fund Flow Volatility and Performance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 45(1), pages 223-237, February.
    21. Elton, Edwin J, et al, 1993. "Efficiency with Costly Information: A Reinterpretation of Evidence from Managed Portfolios," The Review of Financial Studies, Society for Financial Studies, vol. 6(1), pages 1-22.
    22. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    23. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    24. Robert J. Barro, 1972. "A Theory of Monopolistic Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 39(1), pages 17-26.
    25. R. Bellman & I. Glicksberg & O. Gross, 1955. "On the Optimal Inventory Equation," Management Science, INFORMS, vol. 2(1), pages 83-104, October.
    26. Stoughton, Neal M, 1993. "Moral Hazard and the Portfolio Management Problem," Journal of Finance, American Finance Association, vol. 48(5), pages 2009-2028, December.
    27. Sylvain Chassang, 2013. "Calibrated Incentive Contracts," Econometrica, Econometric Society, vol. 81(5), pages 1935-1971, September.
    28. Tyrrell Rockafellar, R., 1976. "Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate," Journal of Economic Theory, Elsevier, vol. 12(1), pages 71-113, February.
    29. Eytan Sheshinski & Yoram Weiss, 1977. "Inflation and Costs of Price Adjustment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 44(2), pages 287-303.
    30. Eytan Sheshinski & Yoram Weiss (ed.), 1993. "Optimal Pricing, Inflation, and the Cost of Price Adjustment," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262193329, December.
    31. Amit Goyal & Sunil Wahal, 2008. "The Selection and Termination of Investment Management Firms by Plan Sponsors," Journal of Finance, American Finance Association, vol. 63(4), pages 1805-1847, August.
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    More about this item

    Keywords

    Performance cycles; Performance persistence; Dynamic optimization;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other

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