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Description of Preferences
Axiomatic Analysis of the Problems of Consistency
5 other sections not shown
admissible admissible set arbitrary Axiom behavior bicomponents binary comparisons binary relation called characterized coalition coefficients completes the proof Conditions 1-4 consider consistency principle contains corresponding cyclic set defined denote determined distance economic equilibrium Edgeworth equilibrium elements equal equivalence relation equivalent evaluations of objects example exists expert evaluation express formula given grade group choice group relation Hence indifference relation individual relations interval scale intransitive irreflexive irreflexive relation linear quasiorders majority relation majority rule mapping matrix maximal means measurement Nash equilibrium nominal factors nonempty obtain obvious optimal ordered partition pairs parameters Pareto optimum Pareto principle participant player preference relation problem procedure prove quantities quasiseries respect revealed preference satisfies Conditions strategy strict rankings subsection supertransitive Suppose symmetric relation Theorem theory tion transitive transitive relations utility functions values vector votes