A Qualitative Linear Utility Theory for Spohn's Theory of Epistemic Beliefs
In C. Boutilier & M. Goldszmidt (eds.), Uncertainty in Artificial Intelligence 16. Morgan Kaufmann (2000)
| Abstract | In this paper, we formulate a qualitative “linear” utility theory for lotteries in which uncertainty is expressed qualitatively using a Spohnian disbelief function. We argue that a rational decision maker facing an uncertain decision problem in which the uncertainty is expressed qualitatively should behave so as to maximize “qualitative expected utility.” Our axiomatization of the qualitative utility is similar to the axiomatization developed by von Neumann and Morgenstern for probabilistic lotteries. We compare our results with other recent results in qualitative decision making. | |||||||||
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John Quiggin (2001). Production Under Uncertainty and Choice Under Uncertainty in the Emergence of Generalized Expected Utility Theory. Theory and Decision 51 (2/4):125-144.
Prakash P. Shenoy (1991). On Spohn's Rule for Revision of Beliefs. International Journal of Approximate Reasoning 5 (2):149-181.
Barry Schwartz, Yakov Ben-Haim & Cliff Dacso (2011). What Makes a Good Decision? Robust Satisficing as a Normative Standard of Rational Decision Making. Journal for the Theory of Social Behaviour 41 (2):209-227.
Ulrich Schmidt (2001). Lottery Dependent Utility: A Reexamination. Theory and Decision 50 (1):35-58.
George Wu (1999). Anxiety and Decision Making with Delayed Resolution of Uncertainty. Theory and Decision 46 (2):159-199.
Prakash P. Shenoy (1991). On Spohn's Theory of Epistemic Beliefs. In B. Bouchon-Meunier, R. R. Yager & L. A. Zadeh (eds.), Uncertainty in Knowledge Bases. Springer.
Stephen A. Clark (2000). Revealed Preference and Expected Utility. Theory and Decision 49 (2):159-174.
Arja H. Turunen-Red & John A. Weymark (1999). Linear Aggregation of SSB Utility Functionals. Theory and Decision 46 (3):281-294.
Phan H. Giang & Prakash P. Shenoy (1999). On Transformations Between Probability and Spohnian Disbelief Functions. In K. B. Laskey & H. Prade (eds.), Uncertainty in Artificial Intelligence 15. Morgan Kaufmann.
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