Formal theories of knowledge in AI and robotics
New Generation Computing
A neo2 Bayesian foundation of the maxmin value for two-person zero-sum games
International Journal of Game Theory
Reasoning about knowledge
A knowledge-based framework for belief change part I: foundations
TARK '94 Proceedings of the 5th conference on Theoretical aspects of reasoning about knowledge
Possibility theory as a basis for qualitative decision theory
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 2
Qualitative decision theory: from savage's axioms to nonmonotonic reasoning
Journal of the ACM (JACM)
Nonstandard numbers for qualitative decision making
TARK '98 Proceedings of the 7th conference on Theoretical aspects of rationality and knowledge
A Fuzzy Game Theoretic Approach to Multi-Agent Coordination
PRIMA '98 Selected papers from the First Pacific Rim International Workshop on Multi-Agents, Multiagent Platforms
Artificial Intelligence - Special issue: Fuzzy set and possibility theory-based methods in artificial intelligence
Fuzzy methods for case-based recommendation and decision support
Journal of Intelligent Information Systems
Making Discrete Sugeno Integrals More Discriminant
International Journal of Approximate Reasoning
Reference-dependent Qualitative Models for Decision Making under Uncertainty
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
Hidden uncertainty in the logical representation of desires
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Agreeing on social outcomes using individual CP-nets
Multiagent and Grid Systems - Planning in multiagent systems
Perceiving environments for intelligent agents
PRICAI'00 Proceedings of the 6th Pacific Rim international conference on Artificial intelligence
Qualitative test-cost sensitive classification
Pattern Recognition Letters
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 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
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
Using Possibilistic Logic for Modeling Qualitative Decision: ATMS-based Algorithms
Fundamenta Informaticae
Using possibilistic logic for modeling qualitative decision: Answer Set Programming algorithms
International Journal of Approximate Reasoning
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This paper investigates the foundation of maximin, one of the central qualitative decision criteria, using the approach taken by Savage (Savage 1972) to investigate the foundation and rationality of classical decision theory. This approach asks "which behaviors could result from the use of a particular decision procedure?" The answer to this question provides two important insights: (1) under what conditions can we employ a particular agent model, and (2) how rational is a particular decision procedure. Our main result is a constructive representation theorem in the spirit of Savage's result for expected utility maximization, which uses two choice axioms to characterize the maxapnin criterion. These axioms characterize agent behaviors that can be modeled compactly using the maxcirnin model, and, with some reservations, indicate that rnaxionin is a reasonable decision criterion.