Results 41 to 50 of about 747 (176)
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
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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 +2 more
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Upper semicontinuity of the lamination hull [PDF]
ESAIM: Control, Optimisation and Calculus of Variations, 2018 Let K ⊆ ℝ2×2 be a compact set, let Krc be its rank-one convex hull, and let L (K) be its lamination convex hull. It is shown that the mapping K ↦ L̅(K̅) is not upper semicontinuous on the diagonal matrices in ℝ2×2, which was a problem left by Kolář. This is followed by an example of a 5-point set of 2 × 2 symmetric matrices with non-compact lamination
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Theoretical Economics, Volume 21, Issue 1, Page 71-98, January 2026.In the classical Bayesian persuasion model, an informed player and an uninformed one engage in a static interaction. This work extends this classical model to a dynamic setting where the state of nature evolves according to a Markovian law, allowing for a more realistic representation of real‐world situations where the state of nature evolves over time.
Ehud Lehrer, Dimitry Shaiderman
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Upper semicontinuity of automorphism groups
Mathematische Annalen, 1994 The authors prove striking results on upper semicontinuity of automorphism groups. They show, for example, that if pairs \((M_j, G_j)\) \((M_j\) connected complex manifolds and \(G_j\) subgroups of \(\Aut (M_j))\) converge on compacta to a pair \((M,G)\), where \(M\) is a hyperbolic complex manifold and \(G\) is a subgroup of \(\Aut (M)\), then \(G_j\)
Fridman, Buma L., Poletsky, Evgeny A.
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Lemonade from lemons: Information design and adverse selection
Theoretical Economics, Volume 21, Issue 1, Page 281-324, January 2026.A seller posts a price for a single object. The seller's and buyer's values may be interdependent. We characterize the set of payoff vectors across all information structures. Simple feasibility and individual‐rationality constraints identify the payoff set.
Navin Kartik, Weijie Zhong
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Upper semicontinuity of the attractor for lattice dynamical systems of partly dissipative reaction diffusion systems [PDF]
, 2004 We investigate the existence of a global attractor and its upper semicontinuity for the infinite-dimensional lattice dynamical system of a partly dissipative reaction diffusion system in the Hilbert space l2×l2.
Ahmed Y. Abdallah
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The Wu metric is not upper semicontinuous [PDF]
Proceedings of the American Mathematical Society, 2007 In this article a question asked in [\textit{M. Jarnicki} and \textit{P. Pflug}, Proc. Am. Math. Soc. 133, 239--244 (2005; Zbl 1051.32009)] is discussed, namely: Are the Wu metrics, associated to the Azukawa and the Kobayashi metric, respectively, upper semicontinuous?
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Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
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On upper semicontinuity of global minima in constrained optimization problems
, 1982 This paper studies stability properties of solutions for optimization problems subject to perturbations in constraints. For problems formulated in a complete metric space sufficient conditions for topological upper semicontinuity of the solution ...
Bednarczuk, Ewa
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