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Payoff Kinks in Preferences Over Lotteries

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  • Machina, Mark J
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    Abstract

    This paper identifies two distinct types of payoff kinks that can be exhibited by preference functions over monetary lotteries - "locally separable" vs. "locally nonseparable" - and illustrates their relationship to the payoff and probability derivatives of such functions. Expected utility and Fréchet differentiable preference functions are found to be incapable of exhibiting locally nonseparable payoff kinks; rank-dependent preference functions are incapable of avoiding them.

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    Bibliographic Info

    Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number qt7vn7d2hs.

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    Date of creation: 11 Sep 2000
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    Handle: RePEc:cdl:ucsdec:qt7vn7d2hs

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    Keywords: risk; uncertainty; payoff kinks;

    References

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    Cited by:
    1. Sujoy Mukerji & Jean-Marc Tallon, 2002. "Ellsberg`s 2-Color Experiment, Bid-Ask Behavior and Ambiguity," Economics Series Working Papers 114, University of Oxford, Department of Economics.
    2. Frank Milne & Edwin Neave, 2003. "A General Equilibrium Financial Asset Economy with Transaction Costs and Trading Constraints," Working Papers 1082, Queen's University, Department of Economics.
    3. Zvi Safra & Uzi Segal, 2001. "On the Economic Meaning of Machina's Frâ„chet Differentiability Assumption," Boston College Working Papers in Economics 511, Boston College Department of Economics.
    4. Mukerji, Sujoy & Tallon, Jean-Marc, 2003. "Ellsberg's two-color experiment, portfolio inertia and ambiguity," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 299-316, June.

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