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Why (and When) are Preferences Convex? Threshold Effects and Uncertain Quality

Author

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  • Smith Trenton G.

    (Washington State University, trent.smith@otago.ac.nz)

  • Tasnádi Attila

    (Corvinus University of Budapest, attila.tasnadi@uni-corvinus.hu)

Abstract

It is often assumed (for analytical convenience, but also in accordance with common intuition) that consumer preferences are convex. In this paper, we consider circumstances under which such preferences are (or are not) optimal. In particular, we investigate a setting in which goods possess some hidden quality with known distribution, and the consumer chooses a bundle of goods that maximizes the probability that he receives some threshold level of this quality. We show that if the threshold is small relative to consumption levels, preferences will tend to be convex; whereas the opposite holds if the threshold is large. Our theory helps explain a broad spectrum of economic behavior (including, in particular, certain common commercial advertising strategies), suggesting that sensitivity to information about thresholds is deeply rooted in human psychology.

Suggested Citation

  • Smith Trenton G. & Tasnádi Attila, 2009. "Why (and When) are Preferences Convex? Threshold Effects and Uncertain Quality," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-24, January.
    • Handle: RePEc:bpj:bejtec:v:9:y:2009:i:1:n:3
    DOI: 10.2202/1935-1704.1518
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    References listed on IDEAS

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    1. Rubin, Paul H & Paul, Chris W, II, 1979. "An Evolutionary Model of Taste for Risk," Economic Inquiry, Western Economic Association International, vol. 17(4), pages 585-596, October.
    2. Richter, Marcel K. & Wong, K.-C.Kam-Chau, 2004. "Concave utility on finite sets," Journal of Economic Theory, Elsevier, vol. 115(2), pages 341-357, April.
    3. Milgrom, Paul & Roberts, John, 1986. "Price and Advertising Signals of Product Quality," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 796-821, August.
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    5. Kannai, Yakar, 1977. "Concavifiability and constructions of concave utility functions," Journal of Mathematical Economics, Elsevier, vol. 4(1), pages 1-56, March.
    6. Rogers, Alan R, 1994. "Evolution of Time Preference by Natural Selection," American Economic Review, American Economic Association, vol. 84(3), pages 460-481, June.
    7. Ray G. Huffaker, 1998. "Deterministic Modeling without (Unwarranted) Apology," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 20(2), pages 502-512.
    8. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
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    Cited by:

    1. Feng Jie Xie & Jing Shi, 2018. "The Evolution of Price Competition Game on Complex Networks," Complexity, Hindawi, vol. 2018, pages 1-13, July.

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