A Representation for Intransitive Indifference Relations

Emel Filiz Ozbay and Erkut Y. Ozbay , Mathematical Social Sciences 50(2) , 202-214 , September 2005.

Binary relations representable by utility functions with multiplicative error are considered. It is proved that if the error is a power of utility then the underlying binary relation is either an interval order, or a semiorder. Moreover, semiorders can be characterized among interval orders by the magnitude of the power of utility that is used in the form of error function.

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