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The Representation of Beliefs and Desires Within Decision Theory

Dissertation, The University of Chicago (1997)

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  1. A representation theorem for a decision theory with conditionals.Richard Bradley - 1998 - Synthese 116 (2):187-229.
    This paper investigates the role of conditionals in hypothetical reasoning and rational decision making. Its main result is a proof of a representation theorem for preferences defined on sets of sentences (and, in particular, conditional sentences), where an agent’s preference for one sentence over another is understood to be a preference for receiving the news conveyed by the former. The theorem shows that a rational preference ordering of conditional sentences determines probability and desirability representations of the agent’s degrees of belief (...)
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  • Preference Aggregation After Harsanyi.Matthias Hild, Mathias Risse & Richard Jeffrey - 1998 - In Marc Fleurbaey, Maurice Salles & John A. Weymark (eds.), Justice, political liberalism, and utilitarianism: Themes from Harsanyi and Rawls. Cambridge, UK: Cambridge University Press. pp. 198-219.
    Consider a group of people whose preferences satisfy the axioms of one of the current versions of utility theory, such as von Neumann-Morgenstern (1944), Savage (1954), or Bolker-Jeffrey (1965). There are political and economic contexts in which it is of interest to find ways of aggregating these individual preferences into a group preference ranking. The question then arises of whether methods of aggregation exist in which the group’s preferences also satisfy the axioms of the chosen utility theory, and in which (...)
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