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| Title: | A Qualitative Linear Utility Theory for Spohn’s Theory of Epistemic Beliefs |
| Authors: | Giang, Phan H.
Shenoy, Prakash P. |
| Keywords: | decision theory
utility theory
Spohn's theory of epistemic beliefs
order of magnitude probabilities |
| Issue Date: | Aug-2000 |
| Publisher: | Morgan Kaufmann Publishers |
| Extent: | 251304 bytes |
| Type: | Book chapter |
| 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. |
| 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. |
| URI: | http://hdl.handle.net/1808/167 |
| ISBN: | 1-55860-709-9 |
| Appears in Collections: | School of Business Articles
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