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On the Existence Theorems of Equilibrium and Quasi-Equilibrium Problems in Different Spaces
MathematicsIn this article, the solvability of the equilibrium problem (EP), Minty equilibrium problem (MEP), and quasi-equilibrium problem (QEP) by using the notions of cyclically monotone and cyclically antimonotone in the setting of topological vector spaces and
Ali Farajzadeh +2 more
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A Social Equilibrium Existence Theorem* [PDF]
Proceedings of the National Academy of Sciences, 1952 In a wide class of social systems each agent has a range of actions among which he selects one. His choice is not, however, entirely free and the actions of all the other agents determine the subset to which his selection is restricted. Once the action of every agent is given, the outcome of the social activity is known.
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Characterization of Nash Equilibrium Strategy for Heptagonal Fuzzy Games
International Journal of Analysis and Applications, 2018 In this paper, the Nash equilibrium strategy of two-person zero-sum games with heptagonal fuzzy payoffs is considered and the existence of Nash equilibrium strategy is studied.
F. Madandar +2 more
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Abstract generalized vector quasi-equilibrium problems in noncompact Hadamard manifolds
Journal of Inequalities and Applications, 2017 This paper deals with the abstract generalized vector quasi-equilibrium problem in noncompact Hadamard manifolds. We prove the existence of solutions to the abstract generalized vector quasi-equilibrium problem under suitable conditions and provide ...
Haishu Lu, Zhihua Wang
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Existence, Uniqueness and Stability of Market Equilibrium in Oligopoly Markets
Administrative Sciences, 2020 In this paper we build a pragmatic model on competition in oligopoly markets. To achieve this goal, we use an approach based on studying the response functions of each market participant, thus making it possible to address both Cournot and Bertrand ...
Yulia Dzhabarova +3 more
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pH‐mediated activation of the lysosomal arginine sensor SLC38A9
FEBS Letters, EarlyView.Cells monitor nutrient levels via the lysosomal transporter SLC38A9 to activate the mechanistic target of rapamycin complex 1 (mTORC1). This study reveals that SLC38A9 function is regulated by pH. We identified histidine 544 as a critical pH sensor that undergoes conformational changes to control amino acid efflux from lysosomes; therefore, it ...
Xuelang Mu, Ampon Sae Her, Tamir Gonen
wiley +1 more source
Existence Theorems for Vector Equilibrium Problems via Quasi-Relative Interior
The Scientific World Journal, 2013 The aim of this paper is to present new existence theorems for solutions of vector equilibrium problems, by using weak interior type conditions and weak convexity assumptions.
Capătă Adela Elisabeta
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An Existence Theorem of Nash Equilibrium in Coq and Isabelle [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Nash equilibrium (NE) is a central concept in game theory. Here we prove formally a published theorem on existence of an NE in two proof assistants, Coq and Isabelle: starting from a game with finitely many outcomes, one may derive a game by rewriting ...
Stéphane Le Roux +2 more
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Existence of Equilibrium in Large Double Auctions [PDF]
SSRN Electronic Journal, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Drew Fudenberg +2 more
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