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Order-Independent Transformative Decision Rules

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Abstract

A transformative decision rule alters the representation of a decision problem, either by changing the set of alternative acts or the set of states of the world taken into consideration, or by modifying the probability or value assignments. A set of transformative decision rules is order-independent in case the order in which the rules are applied is irrelevant. The main result of this paper is an axiomatic characterization of order-independent transformative decision rules, based on a single axiom. It is shown that the proposed axiomatization resolves a problem observed by Teddy Seidenfeld in a previous axiomatization by Peterson.

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Authors and Affiliations

  1. Department of Philosophy and the History of Technology, Royal Institute of Technology, Sweden

    Martin Peterson & Sven Ove Hansson

Authors
  1. Martin Peterson
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  2. Sven Ove Hansson
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Correspondence to Martin Peterson.

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Peterson, M., Hansson, S.O. Order-Independent Transformative Decision Rules. Synthese 147, 323–342 (2005). https://doi.org/10.1007/s11229-005-1351-0

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  • DOI: https://doi.org/10.1007/s11229-005-1351-0

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