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

نویسندگان

  • Phan Hong Giang
  • Prakash P. Shenoy
چکیده

In this paper, we formulate a qualitative "lin­ ear" utility theory for lotteries in which un­ certainty 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 util­ ity is similar to the axiomatization developed by von Neumann and Morgenstern for prob­ abilistic lotteries. We compare our results with other recent results in qualitative de­ cision making.

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تاریخ انتشار 2000