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A Qualitative Linear Utility Theory for Spohn’s Theory of Epistemic Beliefs

Giang, Phan H.
; 
Shenoy, Prakash P.
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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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Date
2000-08
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Morgan Kaufmann Publishers
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School of Business Scholarly Works
Distinguished Professors Scholarly Works
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UAI00.pdf
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Keywords
Decision theory, Utility theory, Spohn's theory of epistemic beliefs, Order of magnitude probabilities
Citation
Giang, P. H. and P. P. Shenoy, "A Qualitative Linear Utility Theory for Spohn’s Theory of Epistemic Beliefs," in C. Boutilier and M. Goldszmidt (eds.), Vol. 16, pp. 220--229, Morgan Kaufmann, San Francisco, CA.
URI
https://hdl.handle.net/1808/167
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