[图书][B] Locally solid Riesz spaces with applications to economics

CD Aliprantis, O Burkinshaw - 2003 - books.google.com
Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A
topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped …

[图书][B] Utility maximization, choice and preference

F Aleskerov, D Bouyssou, B Monjardet - 2007 - books.google.com
The utility maximization paradigm forms the basis of many economic, psychological,
cognitive and behavioral models. However, numerous examples have revealed the …

On the multi-utility representation of preference relations

Ö Evren, EA Ok - Journal of Mathematical Economics, 2011 - Elsevier
We develop the ordinal theory of (semi) continuous multi-utility representation for incomplete
preference relations. We investigate the cases in which the representing sets of utility …

Comparing partial rankings

R Fagin, R Kumar, M Mahdian, D Sivakumar… - SIAM Journal on Discrete …, 2006 - SIAM
Comparing Partial Rankings Page 1 SIAM J. DISCRETE MATH. c 2006 Society for Industrial
and Applied Mathematics Vol. 20, No. 3, pp. 628–648 COMPARING PARTIAL RANKINGS ∗ …

Preference modelling

M Öztürk, A Tsoukiàs, P Vincke - … criteria decision analysis: State of the art …, 2005 - Springer
This chapter provides the reader with a presentation of preference modelling fundamental
notions as well as some recent results in this field. Preference modelling is an inevitable …

Deliberately stochastic

S Cerreia-Vioglio, D Dillenberger, P Ortoleva… - American Economic …, 2019 - aeaweb.org
We study stochastic choice as the outcome of deliberate randomization. We derive a general
representation of a stochastic choice function where stochasticity allows the agent to …

A comprehensive approach to revealed preference theory

H Nishimura, EA Ok, JKH Quah - American Economic Review, 2017 - aeaweb.org
We develop a version of Afriat's theorem that is applicable in a variety of choice
environments beyond the setting of classical consumer theory. This allows us to devise tests …

Necessary and possible preference structures

A Giarlotta, S Greco - Journal of Mathematical Economics, 2013 - Elsevier
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 …

Generalized convex duality and its economic applicatons

JE Martínez-Legaz - Handbook of generalized convexity and generalized …, 2005 - Springer
This article presents an approach to generalized convex duality theory based on Fenchel-
Moreau conjugations; in particular, it discusses quasiconvex conjugation and duality in …

Bipartite ranking: a risk-theoretic perspective

AK Menon, RC Williamson - Journal of Machine Learning Research, 2016 - jmlr.org
We present a systematic study of the bipartite ranking problem, with the aim of explicating its
connections to the class-probability estimation problem. Our study focuses on the properties …