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Title:

The Law of Attraction: Bilateral Search and Horizontal Heterogeneity

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We study a matching model with heterogeneous agents, nontransferable utility and search frictions. Agents differ along a horizontal dimension (e.g. taste) and a vertical dimension (e.g. income). Agents’ preferences coincide only in the vertical dimension. This approach introduces individual preferences in this literature as seems suitable in app...

We study a matching model with heterogeneous agents, nontransferable utility and search frictions. Agents differ along a horizontal dimension (e.g. taste) and a vertical dimension (e.g. income). Agents’ preferences coincide only in the vertical dimension. This approach introduces individual preferences in this literature as seems suitable in applications like labor markets (e.g. regional preferences). We analyze how the notion of assortativeness generalizes to integration or segregation outcomes depending on search frictions. Contrary to results from the purely vertical analysis, here, agents continuously adjust their reservation utility strategies to changing search frictions. The model is easily generalizable in the utility specification, the distribution of taste-related payoffs and the number of vertical types. Extreme utility specifications can be treated as a case of horizontal heterogeneity only. ; Matching, Horizontal Differentiation , Marriage Markets Minimize

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preprint

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Two-sided Certification: The market for Rating Agencies

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Certifiers contribute to the sound functioning of markets by reducing asymmetric information. They, however, have been heavily criticized during the 2008-09 financial crisis. This paper investigates on which side of the market a monopolistic profit-maximizing certifier offers his service. If the seller demands a rating, the certifier announces t...

Certifiers contribute to the sound functioning of markets by reducing asymmetric information. They, however, have been heavily criticized during the 2008-09 financial crisis. This paper investigates on which side of the market a monopolistic profit-maximizing certifier offers his service. If the seller demands a rating, the certifier announces the product quality publicly, whereas if the buyer requests a rating it remains his private information. The model shows that the certifier offers his service to sellers and buyers to maximize his own profit with a higher share from the sellers. Overall, certifiers increase welfare in specific markets. Revenue shifts due to the financial crisis are also explained. ; Certification, Rating Agencies, Asymmetric Information, Financial Markets Minimize

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Title:

Injective spaces via adjunction

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Abstract. Our work over the past years shows that not only the collection of (for instance) all topological spaces gives rise to a category, but also each topological space can be seen individually as a category by interpreting the convergence relationx − → x between ultrafilters and points of a topological space X as arrows in X. Naturally, thi...

Abstract. Our work over the past years shows that not only the collection of (for instance) all topological spaces gives rise to a category, but also each topological space can be seen individually as a category by interpreting the convergence relationx − → x between ultrafilters and points of a topological space X as arrows in X. Naturally, this point of view opens the door to the use of concepts and ideas from (enriched) Category Theory for the investigation of (for instance) topological spaces. In this paper we study cocompleteness, adjoint functors and Kan extensions in the context of topological theories. We show that the cocomplete spaces are precisely the injective spaces, and they are algebras for a suitable monad on Set. This way we obtain enriched versions of known results about injective topological spaces and continuous lattices. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-04

Source:

http://arxiv.org/pdf/0804.0326v1.pdf

http://arxiv.org/pdf/0804.0326v1.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

Lawvere completion and separation via closure

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Dedicated to Bill Lawvere at the occasion of his seventieth birthday Abstract. For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a topological theory that entails a set monad T and a compatible T-algebra structure on V.

Dedicated to Bill Lawvere at the occasion of his seventieth birthday Abstract. For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a topological theory that entails a set monad T and a compatible T-algebra structure on V. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-15

Source:

http://www.math.yorku.ca/~tholen/lcosureAPCS_rev.pdf

http://www.math.yorku.ca/~tholen/lcosureAPCS_rev.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Abstract. The main source of inspiration for the present paper is the work of R. Rosebrugh and R.J. Wood on constructively completely distributive lattices where the authors elegantly employ the concepts of adjunction and module. Both notions (suitably adapted) are available in topology too, which permits us to investigate topological, metric an...

Abstract. The main source of inspiration for the present paper is the work of R. Rosebrugh and R.J. Wood on constructively completely distributive lattices where the authors elegantly employ the concepts of adjunction and module. Both notions (suitably adapted) are available in topology too, which permits us to investigate topological, metric and other kinds of spaces in a similar spirit. We introduce here the notion of distributive space and algebraic space and show in particular that the category of distributive spaces and colimit preserving maps is dually equivalent to the idempotent split completion of a category of spaces and convergence relations between them. We explain the connection of this result to the well-known duality between topological spaces and frames, and deduce further duality theorems. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-07-23

Source:

http://138.73.27.39/tac/volumes/28/3/28-03.pdf

http://138.73.27.39/tac/volumes/28/3/28-03.pdf Minimize

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text

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en

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

Lawvere completion and separation via closure

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Dedicated to Bill Lawvere at the occasion of his seventieth birthday Abstract. For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a topological theory that entails a set monad and a compatible-algebra structure on V.

Dedicated to Bill Lawvere at the occasion of his seventieth birthday Abstract. For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a topological theory that entails a set monad and a compatible-algebra structure on V. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-21

Source:

http://arxiv.org/pdf/0801.0199v1.pdf

http://arxiv.org/pdf/0801.0199v1.pdf Minimize

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text

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en

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Title:

ON A GENERALIZATION OF THE STONE-WEIERSTRASS THEOREM

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Abstract. A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given.

Abstract. A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-01

Source:

http://www2.mat.ua.pt/pessoais/dirk/artigos/stwei.pdf

http://www2.mat.ua.pt/pessoais/dirk/artigos/stwei.pdf Minimize

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text

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en

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Title:

Exponentiability in Categories of Lax Algebras

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For a complete cartesian-closed category V with coproducts, and for any pointed endofunctor T of the category of sets satisfying a suitable Beck-Chevalley-type condition, it is shown that the category of lax reflexive (T, V)-algebras is a quasitopos. This result encompasses many known and new examples of quasitopoi.

For a complete cartesian-closed category V with coproducts, and for any pointed endofunctor T of the category of sets satisfying a suitable Beck-Chevalley-type condition, it is shown that the category of lax reflexive (T, V)-algebras is a quasitopos. This result encompasses many known and new examples of quasitopoi. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-04-18

Source:

http://www.math.yorku.ca/Who/Faculty/Tholen/pproducts.pdf

http://www.math.yorku.ca/Who/Faculty/Tholen/pproducts.pdf Minimize

Document Type:

text

Language:

en

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Failure to be cartesian closed is one of the main defects of the

Failure to be cartesian closed is one of the main defects of the Minimize

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RELATIVE INJECTIVITY AS COCOMPLETENESS FOR A CLASS OF DISTRIBUTORS Dedicated to Walter Tholen on the occasion of his sixtieth birthday

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Abstract. Notions and techniques of enriched category theory can be used to study topological structures, like metric spaces, topological spaces and approach spaces, in the context of topological theories. Recently in [D. Hofmann, Injective spaces via adjunction, arXiv:math.CT/0804.0326] the construction of a Yoneda embedding allowed to identify...

Abstract. Notions and techniques of enriched category theory can be used to study topological structures, like metric spaces, topological spaces and approach spaces, in the context of topological theories. Recently in [D. Hofmann, Injective spaces via adjunction, arXiv:math.CT/0804.0326] the construction of a Yoneda embedding allowed to identify injectivity of spaces as cocompleteness and to show monadicity of the category of injective spaces and left adjoints over Set. In this paper we generalise these results, studying cocompleteness with respect to a given class of distributors. We show in particular that the description of several semantic domains presented in [M. Escardó and B. Flagg, Semantic domains, injective spaces and monads, Electronic Notes in Theoretical Computer Science 20 (1999)] can be translated into the V-enriched setting. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2009-09-16

Source:

http://www.tac.mta.ca/tac/volumes/21/12/21-12.pdf

http://www.tac.mta.ca/tac/volumes/21/12/21-12.pdf Minimize

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text

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en

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Title:

Effective descent morphisms in categories of lax algebras

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Abstract. In this paper we investigate effective descent morphisms in categories of reflexive and transitive lax algebras. We show in particular that open and proper maps are effective descent, result that extends the corresponding results for the category of topological spaces and continuous maps.

Abstract. In this paper we investigate effective descent morphisms in categories of reflexive and transitive lax algebras. We show in particular that open and proper maps are effective descent, result that extends the corresponding results for the category of topological spaces and continuous maps. Minimize

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The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2008-07-17

Source:

http://www.mat.uc.pt/preprints/ps/p0220.pdf

http://www.mat.uc.pt/preprints/ps/p0220.pdf Minimize

Document Type:

text

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en

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