A Theory of Decision Making |
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15 preferences 24 subjects A₁ A₂ ability to handle additional error additive model additive utility function alternatives x,y average ability average intelligence B₁ B₂ B5 imply cardinal utility function comparisons components consider contains decision procedure discussion Eliminating empirical consequences ences equations and inequalities example follows H₁ H₂ hence high ability High intelligence independence condition independence model independent preferences interval model interval scale linear programming low ability Low intelligence means of transitivity minimizes errors minimum number necessary and sufficient number of preferences observed systems ordered metric scale ordinal model partial dominance perfectly satisfied predictive strength present model relation satisfied the additive Section set of alternatives solution stronger models structural condition three structural model subject number subset of preferences sufficient conditions sufficient to characterize Suppes system of observed system of preferences Table Theorem three preferences tion tives utility differences utility function exists utility values variables violation weak ordering weaker model