Stochastic dominance and expected utility: survey and analysis
Management Science
AAAI'94 Proceedings of the twelfth national conference on Artificial intelligence (vol. 2)
The invention of the independence condition for preferences
Management Science
Possibility theory as a basis for qualitative decision theory
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
On the foundations of qualitative decision theory
AAAI'96 Proceedings of the thirteenth national conference on Artificial intelligence - Volume 2
On the axiomatization of qualitative decision criteria
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
Qualitative decision theory with Sugeno integrals
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
Decision-making under ordinal preferences and comparative uncertainty
UAI'97 Proceedings of the Thirteenth conference on Uncertainty in artificial intelligence
Generalized qualitative probability: savage revisited
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Decision, nonmonotonic reasoning and possibilistic logic
Logic-based artificial intelligence
Qualitative decision theory: from savage's axioms to nonmonotonic reasoning
Journal of the ACM (JACM)
Can qualitative utility criteria obey the sure thing principle?
Technologies for constructing intelligent systems
Artificial Intelligence - Special issue: Fuzzy set and possibility theory-based methods in artificial intelligence
Decision with uncertainties, feasibilities, and utilities: towards a unified algebraic framework
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
An algebraic graphical model for decision with uncertainties, feasibilities, and utilities
Journal of Artificial Intelligence Research
Weakening the commensurability hypothesis in possibilistic qualitative decision theory
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Leximax relations in decision making through the dominance plausible rule
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
| Hi-index | 0.01 |
This paper investigates a purely qualitative version of Savage's theory for decision making under uncertainty. Until now, most representation theorems for preference over acts rely on a numerical representation of utility and uncertainty where utility and uncertainty are commensurate. Disrupting the tradition, we relax this assumption and introduce a purely ordinal axiom requiring that the Decision Maker (DM) preference between two acts only depends on the relative position of their consequences for each state. Within this qualitative framework, we determine the only possible form of the decision rule and investigate some instances compatible with the transitivity of the strict preference.