A representation for intransitive indifference relations
نویسندگان
چکیده
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. D 2005 Elsevier B.V. All rights reserved.
منابع مشابه
Semiorders and a Theory of Utility Discrimination
In the theory of preferences underlying utility theory i t is generally assumed that the indifference relation is transitive, and this leads t o equivalence classes of indifferent elements or, equally, t o indifference curves. It has been pointed out that this assumption is contrary to experience and that utility is not perfectly discriminable, as such a theory necessitates. In this paper intra...
متن کاملBiased Quantitative Measurement of Interval Ordered Homothetic Preferences
We represent interval ordered homothetic preferences with a quantitative homothetic utility function and a multiplicative bias. When preferences are weakly ordered (i.e. when indifference is transitive), such a bias equals 1. When indifference is intransitive, the biasing factor is a positive function smaller than 1 and measures a threshold of indifference. We show that the bias is constant if ...
متن کاملSelling to Consumers with Intransitive Indifference*
We are indifferent between two cups of coffee when one differs from the other in having only one more grain of sugar. But such an indifference is not transitive, because eventually, after many enough grains of sugar are added, we will become able to tell one cup is sweeter than the other. When consumers feature intransitive indifference, putting a bad deal alongside a good deal can boost the sa...
متن کاملLearning intransitive reciprocal relations with kernel methods
In different fields like decision making, psychology, game theory and biology, it has been observed that paired-comparison data like preference relations defined by humans and animals can be intransitive. Intransitive relations cannot be modeled with existing machine learning methods like ranking models, because these models exhibit strong transitivity properties. More specifically, in a stocha...
متن کاملThe Polyhedron of all Representations of a Semiorder
In many practical situations, indifference is intransitive. This led Luce (1956) to base a preference model on the following principle: an alternative is judged better than another one only if the utility value of the first alternative is significantly higher than the value of the second alternative. Here, ‘significantly higher’ means higher than the value augmented by some constant threshold. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Mathematical Social Sciences
دوره 50 شماره
صفحات -
تاریخ انتشار 2005