Probability, frequency and reasonable expectation
Readings in uncertain reasoning
Qualitative probabilities: a normative framework for commonsense reasoning
Qualitative probabilities: a normative framework for commonsense reasoning
A general non-probabilistic theory of inductive reasoning
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
System-Z+: a formalism for reasoning with variable-strength defaults
AAAI'91 Proceedings of the ninth National conference on Artificial intelligence - Volume 1
From conditional oughts to qualitative decision theory
UAI'93 Proceedings of the Ninth international conference on Uncertainty in artificial intelligence
On reasoning in networks with qualitative uncertainty
UAI'93 Proceedings of the Ninth international conference on Uncertainty in artificial intelligence
Causal Maps: Theory, Implementation, and Practical Applications in Multiagent Environments
IEEE Transactions on Knowledge and Data Engineering
Argumentation and Qualitative Decision Making
ECSQARU '95 Proceedings of the European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty
Argumentation and Qualitative Probabilistic Reasoning Using the Kappa Calculus
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Lexicographic probability, conditional probability, and nonstandard probability
TARK '01 Proceedings of the 8th conference on Theoretical aspects of rationality and knowledge
A unified framework for order-of-magnitude confidence relations
UAI '04 Proceedings of the 20th conference on Uncertainty in artificial intelligence
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
Algebraic Structures for Bipolar Constraint-Based Reasoning
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Comparing sets of positive and negative arguments: Empirical assessment of seven qualitative rules
Proceedings of the 2006 conference on ECAI 2006: 17th European Conference on Artificial Intelligence August 29 -- September 1, 2006, Riva del Garda, Italy
Local Computation Schemes with Partially Ordered Preferences
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
An algebraic graphical model for decision with uncertainties, feasibilities, and utilities
Journal of Artificial Intelligence Research
Qualitative decision under uncertainty: back to expected utility
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Algebraic Markov decision processes
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Qualitative decision under uncertainty: back to expected utility
Artificial Intelligence
Qualitative MDPs and POMDPs: an order-of-magnitude approximation
UAI'02 Proceedings of the Eighteenth 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
Arguing for decisions: a qualitative model of decision making
UAI'96 Proceedings of the Twelfth international conference on Uncertainty in artificial intelligence
International Journal of Approximate Reasoning
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This paper develops a simple calculus for order of magnitude reasoning. A semantics is given with soundness and completeness results. Order of magnitude probability functions are easily defined and turn out to be equivalent to kappa functions, which are slight generalizations of Spohn's Natural Conditional Functions. The calculus also gives rise to an order of magnitude decision theory, which can be used to justify an amended version of Pearl's decision theory for kappa functions, although the latter is weaker and less expressive.