Journal ArticleDOI
Quasiconcave functions over chains
TLDR
This work defines and study three classes of generalized order concave functions from chains to chains whose properties are very close to those of the family of quasiconcave functions on R.Abstract:
We introduce order-theoretic generalized concavity. This is the study of those properties of generalized concave functions which require only that some order relations are defined on the domain and the image of the functions. In this work we define and study three classes of generalized order concave functions from chains to chains whose properties are very close to those of the family of quasiconcave functions on R. Purely order-theoretic characterization theorems are providedread more
Citations
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Journal ArticleDOI
A sixth bibliography of fractional programming
TL;DR: In this article, the authors present a list of 491 papers dealing with fractional programming and its applications, covering mainly the period 1997-2005 but also including some references published up to 1997 which were not included in the previous bibliographies or which were mentioned as ‘to appear’ in the five previous bibliography.
Journal ArticleDOI
Variational stability of social nash equilibria
TL;DR: New results on the variational stability of social Nash equilibria are obtained using the class of sequentially pseudocontinuous functions, which finds a natural motivation in the framework of Choice and Economic Theory since it characterizes the continuity of the preference relations on first countable topological spaces.
Posted Content
Weakening the strong convexity of preferences
TL;DR: In this article, the authors propose a new global concavity condition that implies, for models with several nonlinear constraints: the local uniqueness and the smoothness of the decision functions, and the negativity of the generalised substitution matrix.
Book ChapterDOI
Concavity of the Vector-Valued Functions Occurring in Fuzzy Multiobjective Decision-Making
TL;DR: In this paper, the question of how much of Nikodem's theorem can be transferred to vector-valued functions, such as arise in Werners' model, was investigated.
Journal ArticleDOI
Ordinally quasiconcave functions
Margherita Cigola,Marco LiCalzi +1 more
TL;DR: In this article, the authors define and study six classes of quasiconcave functions arising when the algebric and topological structures of X and Y are replaced with partial or complete orders.
References
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Book
Iterative Solution of Nonlinear Equations in Several Variables
J.M. Ortega,Werner C. Rheinboldt +1 more
TL;DR: In this article, the authors present a list of basic reference books for convergence of Minimization Methods in linear algebra and linear algebra with a focus on convergence under partial ordering.
Journal ArticleDOI
Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities
Paul Milgrom,John Roberts +1 more
TL;DR: In this article, a rich class of non-cooperative games, including models of oligopoly competition, macroeconomic coordination failures, arms races, bank runs, technology adoption and diffusion, R&D competition, pretrial bargaining, coordination in teams, and many others, are studied.
Journal ArticleDOI
Sur les fonctions convexes et les inégalités entre les valeurs moyennes
Book
Stochastic models in operations research
TL;DR: This course provides an introduction to the modeling and analysis of various random phenomena occurring in operations research and businesses such as inventory theory, queueing theory, genetics, demography, epidemiology, competing populations.
Book ChapterDOI
Submodular functions and convexity
TL;DR: In continuous optimization, convex functions play a central role as mentioned in this paper, and various methods for finding the minimum of a convex function constitute the main body of nonlinear optimization, which can be viewed as the optimization of very special (linear) objective functions over very special convex domains (polyhedra).
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