On the axiomatization of qualitative decision criteria

Ronen I. Brafman, Moshe Tennenholtz

Research output: Contribution to conferencePaperpeer-review

17 Scopus citations

Abstract

Qualitative decision tools have been used in AI and CS in various contexts, but their adequacy is still unclear. To examine this question, our work employs the axiomatic approach to characterize the properties of various decision rules. In the past, we presented a constructive representation theorem for the maximin decision criterion, and we characterized conditions under which an agent can be viewed as adopting a qualitative decision-making approach (consisting of beliefs, goals, and a qualitative decision criterion). In this paper we show that the maximin representation theorem applies to two additional decision criteria: minmax regret and competitive ratio, and with slight modifications, to a third one, maximax. In addition, we characterize conditions under which an agent with a given qualitative utility function can be ascribed beliefs when we assume it adopts maximin as its decision criterion.

Original languageEnglish
Pages76-81
Number of pages6
StatePublished - 1 Dec 1997
Externally publishedYes
EventProceedings of the 1997 14th National Conference on Artificial Intelligence, AAAI 97 - Providence, RI, USA
Duration: 27 Jul 199731 Jul 1997

Conference

ConferenceProceedings of the 1997 14th National Conference on Artificial Intelligence, AAAI 97
CityProvidence, RI, USA
Period27/07/9731/07/97

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