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Multiattribute utility analysis and decision support systems: the case of Filipino rice policy

One of the most important concepts in value theory or utility theory is the notion of independence among variables or additivity of values. Its importance stems from numerous multiple-criteria procedures used for rating people, products, and other things. Most of these rating procedures rely on the notion of independence often implicitly for their validity. However, a satisfactory definition of independence additivity, based on multi-dimensional consequences and hypothetical gambles composed of such consequences, has not appeared. This paper therefore presents a definition of independence for cases where the set of consequences X is a product set X1 × X2 × â¯ × Xn, each element in X being an ordered n-tuple x1, x2, ', xn. The definition is stated in terms of indifference between special pairs of gambles formed from X. It is then shown that if the condition of the definition holds, the utility of each x1, x2, ', xn in X can be written in the additive form Ix1, x2, ', xn = I1x1 + I2x2 + â¯ + Inxn, where Ii is a real-valued function defined on the set Xi, i = 1, 2, ', n. The development is free of any specific assumptions about I e.g., continuity, differentiability except that it be a von Neumann-Morgenstern utility function, and places no restrictions on the natures of the Xi.

Independence in Utility Theory with Whole Product Sets

Decision support systems : the case of price policy for rice in the Philippines

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Multiattribute utility analysis and decision support systems: the case of Filipino rice policy

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References

Independence in Utility Theory with Whole Product Sets

Decision support systems : the case of price policy for rice in the Philippines

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