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Myopic separability

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  • Kannai, Yakar
  • Selden, Larry
  • Wei, Xiao

Abstract

In the classic certainty multiperiod, multigood demand problem, suppose preferences for current and past period consumption are separable from consumption in future periods. Then optimal demands can be determined from the standard two stage budgeting process, where optimal current period demands depend only on current and past prices and current period expenditure. Unfortunately this simplification does not significantly reduce the informational requirements for the decision maker since in general the expenditure is a function of future prices. Recent behavioral evidence strongly suggests that frequently individuals significantly simplify intertemporal choice problems. We derive necessary and sufficient conditions such that the current period's expenditure and hence optimal current demands are independent of future prices. Since this preference property is a special case of separability, it is referred to as myopic separability. One well known special case of myopic separability is log additive (or equivalently Cobb–Douglas) utility. However, this form of utility is overly restrictive, especially given the general aversion of Fisher (1930), Hicks (1965) and Lucas (1978) to requiring preferences to be additively separable. Myopic separability requires neither additive separability nor logarithmic period utility. As an application, we derive simple restrictions on equilibrium interest rates which are necessary and sufficient for utility to take the myopic separable form. These conditions are arguably less restrictive than those implied by additively separable preferences.

Suggested Citation

  • Kannai, Yakar & Selden, Larry & Wei, Xiao, 2014. "Myopic separability," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 125-144.
    • Handle: RePEc:eee:jeborg:v:103:y:2014:i:c:p:125-144
    DOI: 10.1016/j.jebo.2014.04.009
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    1. R. A. Pollak, 1968. "Consistent Planning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 201-208.
    2. Drazen Prelec & George Loewenstein, 1991. "Decision Making Over Time and Under Uncertainty: A Common Approach," Management Science, INFORMS, vol. 37(7), pages 770-786, July.
    3. Brown, Donald J & Lewis, Lucinda M, 1981. "Myopic Economic Agents," Econometrica, Econometric Society, vol. 49(2), pages 359-368, March.
    4. Cherchye, L.J.H. & Crawford, I. & de Rock, B. & Vermeulen, F.M.P., 2011. "Aggregation without the Aggravation? Nonparametric Analysis of the Representative Consumer," Other publications TiSEM e6102eac-a248-49dc-ae8e-1, Tilburg University, School of Economics and Management.
    5. Mark Rubinstein., 1974. "A Discrete-Time Synthesis of Financial Theory, Part I. Optimal Decision and Sharing Rules," Research Program in Finance Working Papers 20, University of California at Berkeley.
    6. Hakansson, Nils H, 1971. "On Optimal Myopic Portfolio Policies, With and Without Serial Correlation of Yields," The Journal of Business, University of Chicago Press, vol. 44(3), pages 324-334, July.
    7. Matthew Rabin & Georg Weizsacker, 2009. "Narrow Bracketing and Dominated Choices," American Economic Review, American Economic Association, vol. 99(4), pages 1508-1543, September.
    8. Bryant, John, 1983. "Government Irrelevance Results: A Simple Exposition," American Economic Review, American Economic Association, vol. 73(4), pages 758-761, September.
    9. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    10. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    11. Chipman, John S., 1974. "Homothetic preferences and aggregation," Journal of Economic Theory, Elsevier, vol. 8(1), pages 26-38, May.
    12. Barnett,William A. & Cornet,Bernard & D'Aspremont,Claude & Gabszewicz,Jean & Mas-Colell,Andreu (ed.), 1991. "Equilibrium Theory and Applications," Cambridge Books, Cambridge University Press, number 9780521392198, September.
    13. Read, Daniel & Loewenstein, George & Rabin, Matthew, 1999. "Choice Bracketing," Journal of Risk and Uncertainty, Springer, vol. 19(1-3), pages 171-197, December.
    14. R. Robert Russell, 1975. "Functional Separability and Partial Elasticities of Substitution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(1), pages 79-85.
    15. Felix Kubler & Larry Selden & Xiao Wei, 2014. "Asset Demand Based Tests of Expected Utility Maximization," American Economic Review, American Economic Association, vol. 104(11), pages 3459-3480, November.
    16. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    17. Wallace, Neil, 1981. "A Modigliani-Miller Theorem for Open-Market Operations," American Economic Review, American Economic Association, vol. 71(3), pages 267-274, June.
    18. Narayana R. Kocherlakota, 2001. "Looking for evidence of time-inconsistent preferences in asset market data," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 25(Sum), pages 13-24.
    19. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
    20. MOSSIN, Jan, 1968. "Optimal multiperiod portfolio policies," LIDAM Reprints CORE 19, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Pollak, Robert A, 1970. "Habit Formation and Dynamic Demand Functions," Journal of Political Economy, University of Chicago Press, vol. 78(4), pages 745-763, Part I Ju.
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    1. Soldatos, Gerasimos T., 2015. "Law, Coercion, And Socioeconomic Equilibrium," MPRA Paper 68953, University Library of Munich, Germany.

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    More about this item

    Keywords

    Myopic demand; Separable utility; Additive separability; Myopic separability; Equilibrium interest rates;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets

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