Reference-Dependent Utility, Product Variety and Price Competition Products such as iPhone, Coca-Cola and Tide serve as the standard against which consumers evaluate other members of the category. Empirical evidence suggests consumers care about not only the consumption utility derived from a product but also the gain-loss utility in comparison to the reference product of the category. This pap...

Most often, in a categorical semantics for a programming language, the substitution of terms is expressed by composition and finite products. However this does not deal with the order of evaluation of arguments, which may have major consequences when there are side-effects. In this paper Cartesian effect categories are introduced for solving this issue, and they are compared with strong monads,...

To any triangulated category with tensor product (K,⊗), we associate a topological space Spc(K,⊗), by means of thick subcategories of K, à la Hopkins-Neeman-Thomason. Moreover, to each open subset U of this space Spc(K,⊗), we associate a triangulated category K(U), producing what could be thought of as a presheaf of triangulated categories. Applying this to the derived category (K,⊗) := (D(X),⊗...

We characterize noncommutative Frobenius algebras A in terms of the existence of a coproduct which is a map of left A-modules. We show that the category of right (left) comodules over A, relative to this coproduct, is isomorphic to the category of right (left) modules. This isomorphism enables a reformulation of the cotensor product of Eilenberg and Moore as a functor of modules rather than com...

In this article, we will prove that the subsectors of α-induced sectors for M ⋊ Ĝ ⊃ M forms a modular category, where M ⋊ Ĝ is the crossed product of M by the group dual Ĝ of a finite group G. In fact, we will prove that it is equivalent to Müger’s crossed product. By using this identification, we will exhibit an orbifold aspect of the quantum double of ∆(not necessarily non-degenerate) obtaine...

On a shopping trip to a supermarket a customer may purchase a product in a given category and, if so, buys a particular brand. A previous paper by the authors models the brand choice part of this process. A multinomial logit model describes the selection of brand and size given that the customer makes a category purchase. Explanatory variables include store actions, such as price and promotion,...

The strong shape category of topological spaces SSh can be defined using the coherent homotopy category CH, whose objects are inverse systems consisting of topological spaces, indexed by cofinite directed sets. In particular, if X, Y are spaces and q : Y → Y is a cofinite HPol-resolution of Y , then there is a bijection between the set SSh(X, Y ) of strong shape morphisms F : X → Y and the set ...

We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, namely Lambek’s pregroup semantics. A key observation is that the monoidal category of (finite dimensional) vector spaces, linear maps and the tensor product, as well as any pregroup, are examples of compact closed categ...

What are the effects of forced exposure to the brand website on perceived brand personality? An experiment with random assignment to exposure vs. control (nonexposure) groups for ten websites is analysed. Three covariates are included to test their impact on brand personality after website exposure: product type (utilitarian/ functional vs. auto-expressive), enduring involvement with the produc...