Results 61 to 70 of about 2,072,232 (247)

Iterative roots of upper semicontinuous multifunctions [PDF]

Advances in Difference Equations, 2017
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Pingping Zhang, Liguo Huang
openaire   +3 more sources

Nonemptiness of the Alpha‐Core

Journal of Public Economic Theory, Volume 28, Issue 1, February 2026.
ABSTRACT We prove nonemptiness of the α $\alpha $‐core for balanced games with nonordered preferences, extending and generalizing in several aspects the results of Scarf (1971), Border (1984), Florenzano (1989), Yannelis (1991b), and Kajii (1992). In particular, we answer an open question in Kajii (1992) regarding the applicability of the nonemptiness ...
V. Filipe Martins‐da‐Rocha, Nicholas C. Yannelis   +1 more
wiley   +1 more source

Upper Semicontinuous Representations of Semiorders as Interval Orders

Axioms
We characterize the upper semicontinuous representability of a semiorder ≺ as an interval order (namely, by a pair (u,v) of upper semicontinuous real-valued functions) on a topological space with a countable basis of open sets, where one of the ...
Gianni Bosi, Gabriele Sbaiz, Magalì Zuanon   +2 more
doaj   +1 more source

Efficiency in Pure‐Exchange Economies With Risk‐Averse Monetary Utilities

Mathematical Finance, Volume 36, Issue 1, Page 99-117, January 2026.
ABSTRACT We study Pareto efficiency in a pure‐exchange economy where agents' preferences are represented by risk‐averse monetary utilities. These coincide with law‐invariant monetary utilities, and they can be shown to correspond to the class of monotone, (quasi‐)concave, Schur concave, and translation‐invariant utility functionals. This covers a large
Mario Ghossoub, Michael B. Zhu
wiley   +1 more source

Connectedness and Contractibility of Solutions in Set Optimization Under Set Less Order Relations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study establishes the topological properties of solution sets in set optimization, focusing on their connectedness and contractibility. Utilizing the arcwise convexity and lower semicontinuity characteristics derived from scalarization techniques, we initially prove the connectedness of solution sets containing both weak and standard approximate ...
Taiyong Li, Manli Yang, Zai Yun Peng
wiley   +1 more source

Existence and Upper Semicontinuity of Attractors for Nonautonomous Stochastic Sine-Gordon Lattice Systems with Random Coupled Coefficients

Discrete Dynamics in Nature and Society, 2016
We study nonautonomous stochastic sine-Gordon lattice systems with random coupled coefficients and multiplicative white noise. We first consider the existence of random attractors in a weighted space for this system and then establish the upper ...
Zhaojuan Wang, Shengfan Zhou
doaj   +1 more source

Equilibrium Existence in First‐Price Auctions With Private Values

Econometrica, Volume 94, Issue 1, Page 193-224, January 2026.
We provide sufficient conditions for equilibrium existence in first‐price auctions with private values that accommodate non quasi‐linear utilities and value‐distributions that contain atoms and exhibit positive or negative correlation. These conditions show that equilibrium existence often turns on properties of a single statistic of the joint ...
Wojciech Olszewski, Philip J. Reny, Ron Siegel   +2 more
wiley   +1 more source

Upper semicontinuity of attractors of non-autonomous dynamical systems for small perturbations

Electronic Journal of Differential Equations, 2002
We study the problem of upper semicontinuity of compact global attractors of non-autonomous dynamical systems for small perturbations. For the general nonautonomous dynamical systems, we give the conditions of upper semicontinuity of attractors for small
David N. Cheban
doaj  

Continuity of the solutions sets for parametric set optimization problems

Journal of Inequalities and Applications
The current study focuses on exploring the stability of solution sets pertaining to set optimization problems, particularly with regard to the set order relation outlined by Karaman et al. 2018.
Manli Yang, Taiyong Li, Guanghui Xu
doaj   +1 more source

A lower bound for topological entropy of generic non Anosov symplectic diffeomorphisms

, 2010
We prove that a $C^1-$generic symplectic diffeomorphism is either Anosov or the topological entropy is bounded from below by the supremum over the smallest positive Lyapunov exponent of the periodic points.
Catalan, Thiago, Tahzibi, Ali
core   +1 more source