Equilibrium and the H-Theorem
Examination of Boltzmann's H-Function: Dimensionality and Interaction Sensitivity Dependence, and a comment on his H-Theorem
... k H + , (10) at constant volume ...the equilibrium state, it is natural to look for a relationship between H and S, even as a function of ...because H(t), on the other hand, is defined for an ...
An approximation theorem and generic convergence for equilibrium problems
... approximation theorem for equilibrium problems. Ac- cording to the theorem, there are three similar ways, namely approximate functions as objective functions, similar strategies as practical ...
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A General Structure Theorem for the Nash Equilibrium Correspondence
... tedness theorem is established for Nash equilibria on the domain of normal–form games and for Walrasian equilibria on the domain of exchange economies, ...unknottedness theorem is known to have a number of ...
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Generalizations of the Nash Equilibrium Theorem in the KKM Theory
... In this paper, we study several stages of such developments from the KKM principle to the Nash theorem and related results within the frame of the KKM theory of abstract convex spaces. In fact, we clearly show ...
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The Johansson-Samuelson Theorem in General Equilibrium: A Rebuttal
... 4 Conclusion In this article, we have shown that the celebrated Johansson-Samuelson The- orem may fail to hold in general equilibrium, unless harsh and unrealistic assumptions are set. Moreover, we have discussed ...
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Fluctuation-dissipation theorem for non-equilibrium quantum systems
... fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum ...the theorem which can be applied to any Markov quantum system and makes use of the ...
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On Nash Equilibrium and Evolutionarily Stable States That Are Not Characterised by the Folk Theorem
... * [email protected] Abstract In evolutionary game theory, evolutionarily stable states are characterised by the folk theo- rem because exact solutions to the replicator equation are difficult to obtain. It is ...
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An equilibrium existence theorem for atomless economies without the monotonicity assumption
... competitive equilibrium need not exist in atomless economies when the preference relations are not monotone and, at the same time, the free disposal is not ...
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Some Equivalents of Brouwer's Fixed Point Theorem and the Existence of Economic Equilibrium
... ECONOMIC EQUILIBRIUM PIOTR MAĆKOWIAK ...point theorem and the existence of equilibrium in a simple exchange model with monotonic ...Brouwer’s theorem and prove additional ones, that are ...
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Limits to the «theorem of lemons»: demand for good cars under equilibrium price dispersion
... the equilibrium price. Under the equilibrium price dispersion the “theorem of lemons” is confined to a simple question – whether offers of good cars stays above the willingness to pay of potential ...
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The uniqueness and well-posedness of vector equilibrium problems with a representation theorem for the solution set
... vector equilibrium problem (for short, VEP) is a natural generalization of the equilib- rium problem for the vector-valued ...vector equilibrium problem is a unified model of several fundamental mathematical ...
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Ray's Theorem for Firmly Nonexpansive-Like Mappings and Equilibrium Problems in Banach Spaces
... We prove that every firmly nonexpansive-like mapping from a closed convex subset C of a smooth, strictly convex and reflexive Banach pace into itself has a fixed point if and only if C is bounded. We obtain a necessary ...
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A strong convergence theorem for equilibrium problems and split feasibility problems in Hilbert spaces
... The main purpose of this paper is to introduce an iterative algorithm for equilibrium problems and split feasibility problems in Hilbert spaces. Under suitable conditions we prove that the sequence converges ...
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Equivalence results between Nash equilibrium theorem and some fixed point theorems
... point theorem, Walras equilibrium theorem (set-valued excess demand function), and generalized variational inequality, can be derived from the Nash equilibrium theorem, with the aid of ...
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Sion's minimax theorem and Nash equilibrium of symmetric three-players zero-sum game
... minimax theorem with the coincidence of the max- imin strategy and the minimax strategy are proved by the existence of a symmetric Nash ...Nash equilibrium is proved by the modified version of Sion’s ...
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KKM theorem with applications to lower and upper bounds equilibrium problem in G convex spaces
... 2000 Mathematics Subject Classification: 47J20, 47H10, 54C60, 49J35. 1. Introduction. In [5], Isac et al. raised the following open problem which is closely related to the equilibrium problem. Given a closed ...
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Sion's minimax theorem and Nash equilibrium of symmetric multi person zero sum game
... minimax theorem plus the coincidence of the maximin strategy and the min- imax strategy are proved by the existence of a symmetric Nash ...Nash equilibrium is proved by Sion’s minimax theorem plus ...
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Sion's minimax theorem and Nash equilibrium of symmetric three players zero sum game
... minimax theorem with the coincidence of the max- imin strategy and the minimax strategy are proved by the existence of a symmetric Nash ...Nash equilibrium is proved by the modified version of Sion’s ...
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Theorem of Necessity and Sufficiency of Stable Equilibrium for Generalized Potential Equality between System and Reservoir
... stable equilibrium of a system-reservoir composite assumed as a hypothesis, and gene- ralized potential equality derived as the thesis of a ...stable equilibrium and equality of generalized potential ...
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A Geometrical Theorem about the Static Equilibrium of a Common point force System and its Application
... static equilibrium of a com- mon-point-force system (CPF system for brevity), which is based on the principle of minimal potential for the static equilibrium of a conservative mechanical system in the ...
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