Optimality Criteria for Investment Projects Under Uncertainty

  • Sergey A. Smolyak
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 59)


The uncertainty of effect of investment projects can have various types. Known types, namely, set-uncertainty and probabilistic one we consider as special cases of new type set-probabilistic uncertainty. Under such uncertainty the effect of the investment project is random variable with not exactly known distribution. We formalize such projects as families of one-dimensional probability distributions. Then the criterion for projects comparison becomes some functional on a class of distributions families. To ensure rational economic behavior of firm in which the decisions on projects selection are decentralized, such functional should be monotonous, continuous and additive. It turned out that such functional is generalization of mean criterion and Hurwicz’s criterion (average weighted of extremal means of distributions included in family).


Investment project efficiency evaluation various types of uncertainty comparison criteria expected effect axiomatics 


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© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Sergey A. Smolyak
    • 1
  1. 1.CEMIRASMoscowRussia

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