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Decision Theory

Università commerciale Luigi Bocconi mathematical and computing sciences for artificial intelligence 2024
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  • Binary relations: defined through propositions, logical predicates, and extensions; key properties include reflexivity, transitivity, completeness, symmetry, antisymmetry.
  • Preference theory: includes axioms of extensionality, completeness, and transitivity; indifference classes and utility functions are introduced.
  • Utility functions: ordinality, existence, and order density; theorems linking preference relations to utility representations.

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