It is with great pleasure that we are presenting to the community the second edition of this
extraordinary handbook. It has been over 15 years since the publication of the first edition …

Not everything is black and white. Our daily lives are full of vagueness or fuzziness.
Language is the most obvious example-for instance, when we describe someone as tall, it is …

The study of general principles for preferences can, if we so wish, be traced back to Book III
of Aristotle's Topics. Since the early twentieth century several philosophers have …

A classical approach to model a preference on a set A of alternatives uses a reflexive,
transitive and complete binary relation, ie a total preorder. Since the axioms of a total …

The spectrum argument purports to show that the better-than relation is not transitive, and
consequently that orthodox value theory is built on dubious foundations. The argument …

Semiorders and thresholds of utility discrimination: Solving the Scott–Suppes representability
problem - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

We give an overview of some new trends in preference modeling, utility representation, and
choice rationalization. Several recent contributions on these topics point in the same …

We analyze different separability conditions that characterize the numerical representability
of semiorders through a real-valued function and a strictly positive threshold. Any necessary …

In 1907 Borel published a remarkable essay on the paradox of the Heap (“Un paradoxe
économique: le sophisme du tas de blé et les vérités statistiques”), in which Borel proposes …

The standard argument for the claim that rational preferences are transitive is the pragmatic
money‐pump argument. However, a money‐pump only exploits agents with cyclic strict …