GAI Networks for Utility Elicitation

Christophe Gonzales · Patrice Perny

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Multi-Criteria Decision Making Economic and Environmental Valuation Bayesian Modeling and Causal Inference

Abstract

This paper deals with preference representation and elicitation in the context of multiattribute utility theory under risk. Assuming the decision maker behaves according to the EU model, we investigate the elicitation of generalized additively decomposable utility functions on a product set (GAI-decomposable utilities). We propose a general elicitation procedure based on a new graphical model called a GAI-network. The latter is used to represent and manage independences between attributes, as junction graphs model independences between random variables in Bayesian networks. It is used to design an elicitation questionnaire based on simple lotteries involving completely specified outcomes. Our elicitation procedure is convenient for any GAI-decomposable utility function, thus enhancing the possibilities offered by UCP-networks.

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References

2019Theory of games and economic behavior 1994Decisions with Multiple Objectives: Preferences and Value Tradeoffs.1971Utility Theory for Decision Making 1947Theory of Games and Economic Behavior 1988Additive Representations of Preferences: A New Foundation of Decision Analysis 2000Making Rational Decisions Using Adaptive Utility Elicitation 1995Possibility theory as a basis for qualitative decision theory

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