Formal theories of knowledge in AI and robotics
New Generation Computing
Knowledge and common knowledge in a distributed environment
Journal of the ACM (JACM)
Artificial intelligence: a modern approach
Artificial intelligence: a modern approach
ICALP '89 Proceedings of the 16th International Colloquium on Automata, Languages and Programming
Possibility theory as a basis for qualitative decision theory
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
Towards action prediction using a mental-level model
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
Generalized qualitative probability: savage revisited
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
Logical representation and computation of optimal decisions in a qualitative setting
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
Dynamic non-Bayesian decision making in multi-agent systems
Annals of Mathematics and Artificial Intelligence
Can qualitative utility criteria obey the sure thing principle?
Technologies for constructing intelligent systems
On preference-based search in state space graphs
Eighteenth national conference on Artificial intelligence
Making Discrete Sugeno Integrals More Discriminant
International Journal of Approximate Reasoning
Preference representation with 3-points intervals
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
Weakening the commensurability hypothesis in possibilistic qualitative decision theory
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Qualitative models for decision under uncertainty without the commensurability assumption
UAI'99 Proceedings of the Fifteenth conference on Uncertainty in artificial intelligence
A qualitative linear utility theory for Spohn's theory of epistemic beliefs
UAI'00 Proceedings of the Sixteenth conference on Uncertainty in artificial intelligence
Qualitative decision theory with Sugeno integrals
UAI'98 Proceedings of the Fourteenth conference on Uncertainty in artificial intelligence
Possibility theory for reasoning about uncertain soft constraints
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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Qualitative decision tools have been used in AI and CS in various contexts, but their adequacy is still unclear. To examine this question, our work employs the axiomatic approach to characterize the properties of various decision rules. In the past, we presented a constructive representation theorem for the maximin decision criterion, and we characterized conditions under which an agent can be viewed as adopting a qualitative decision-making approach (consisting of beliefs, goals, and a qualitative decision criterion). In this paper we show that the maximin representation theorem applies to two additional decision criteria: minmax regret and competitive ratio, and with slight modifications, to a third one, maximax. In addition, we characterize conditions under which an agent with a given qualitative utility function can be ascribed beliefs when we assume it adopts maximin as its decision criterion.