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Sequential Decision Making under Uncertain Future Preferences

Author

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  • Chelsea C. White

    (University of Virginia, Charlottesville, Virginia)

Abstract

We present a model of sequential decision making under uncertain future preferences, assuming that the evolution of the trade-off weight vector is constrained by set inclusion. We consider different mechanisms for selecting the next trade-off weight vector: a mechanism working against the decision maker (DM) ( M ), a mechanism trying to aid the DM ( B ), and (briefly) a probabilistic mechanism ( P ). Piecewise linear, convex upper and lower bounds on the optimal value function are determined for mechanisms M and B . Conditions are given that guarantee that the optimal value function is piecewise linear and convex for all three mechanisms. Procedures for computing these bounds and determining associated strategies are presented. A hypothetical situation involving an individual seeking promotion is used to illustrate the model and the numerical techniques.

Suggested Citation

  • Chelsea C. White, 1984. "Sequential Decision Making under Uncertain Future Preferences," Operations Research, INFORMS, vol. 32(1), pages 148-168, February.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:1:p:148-168
    DOI: 10.1287/opre.32.1.148
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