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4,226
Stationary Points and Equilibria
, 2009
"... Almost all existence results in mathematical economics and game theory rely on some type of fixed point theorem. However, in many cases it is much easier to apply an equivalent stationary point theorem. In this survey paper we show for various general equilibrium and game theoretical models the usef ..."
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Almost all existence results in mathematical economics and game theory rely on some type of fixed point theorem. However, in many cases it is much easier to apply an equivalent stationary point theorem. In this survey paper we show for various general equilibrium and game theoretical models
STATIONARY POINTS OF PLANE FORMS
"... Abstract. We apply formulas for multiple-points of general mappings to enumerate loci of stationary multiple-points of plane forms. This is accomplished by studying the normalization map of the plane form. 1. Introduction. A plane form is an /-fold Z in p/+ " ruled by an irreducible one-paramet ..."
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Abstract. We apply formulas for multiple-points of general mappings to enumerate loci of stationary multiple-points of plane forms. This is accomplished by studying the normalization map of the plane form. 1. Introduction. A plane form is an /-fold Z in p/+ " ruled by an irreducible one
Stationary Points of the Yang-Mills Action
- Commun. Pure Appl. Math
, 1992
"... . We examine the structure of a recently discovered set of non-self-dual solutions of the Yang-Mills equations. These solutions have a symmetry that reduces the YM equations to a set of ODE's. The distinct solutions are indexed by two postive odd integers. We develop a scheme to approximate on ..."
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Cited by 3 (1 self)
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on a computer the solutions for small values of the indexing integers, and present some numerical results. We then analyze the asymptotic behavior of the solutions as the indexing integers become large. 1. Introduction In this paper we consider stationary points of the SU(2) Yang-Mills action
PERFECTION AND STABILITY OF STATIONARY POINTS WITH APPLICATIONS TO
, 2002
"... Link to publication Citation for published version (APA): van der Laan, G., Talman, A. J. J., & Yang, Z. F. (2002). Perfection and Stability of Stationary Points with Applications in Noncooperative Games. (CentER Discussion Paper; Vol. 2002-108). Tilburg: Microeconomics. General rights Copyrigh ..."
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Link to publication Citation for published version (APA): van der Laan, G., Talman, A. J. J., & Yang, Z. F. (2002). Perfection and Stability of Stationary Points with Applications in Noncooperative Games. (CentER Discussion Paper; Vol. 2002-108). Tilburg: Microeconomics. General rights
ISSN 0924-7815Perfection and Stability of Stationary Points with
, 2002
"... It is well known that an upper semi-continuous compact- and convex-valued mapping φ from a nonempty compact and convex set X to the Euclidean space of which X is a subset has at least one stationary point, being a point in X at which the image φ(x) has a nonempty intersection with the normal cone at ..."
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It is well known that an upper semi-continuous compact- and convex-valued mapping φ from a nonempty compact and convex set X to the Euclidean space of which X is a subset has at least one stationary point, being a point in X at which the image φ(x) has a nonempty intersection with the normal cone
A Stationary Point for the Stochastic Frontier Likelihood
- Journal of Econometrics
, 1982
"... The likelihood function for the stochastic frontier model is shown to possess an unusual stationary point which may or may not be a maximum. A condition is given to determine if the point is a maximum, and the result is interpreted in the context of specification and estimation. 1. ..."
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Cited by 12 (0 self)
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The likelihood function for the stochastic frontier model is shown to possess an unusual stationary point which may or may not be a maximum. A condition is given to determine if the point is a maximum, and the result is interpreted in the context of specification and estimation. 1.
On the existence of stationary points for the Steiglitz–McBride algorithm
- IEEE Trans. Automat. Contr
, 1997
"... Abstract — Most convergence results for adaptive identification algorithms have been developed in sufficient order settings, involving an unknown system with known degree. Reduced-order settings, in which the degree of the unknown system is underestimated, are more common, but more difficult to anal ..."
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Cited by 4 (3 self)
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to analyze. Deducing stationary points in these cases typically involves solving nonlinear equations, hence the sparseness of results for reduced-order cases. If we allow ourselves the tractable case in which the input to an identification experiment is white noise, we pshall show that the Steiglitz
On the convergence of Newton iterations to non-stationary points
- Mathematical Programming
, 2001
"... We study conditions under which linesearch Newton methods for nonlinear systems of equations and optimization fail due to the presence of singular non-stationary points. These points are not solutions of the problem and are characterized by the fact that Jacobian or Hessian matrices are singular. It ..."
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Cited by 15 (2 self)
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We study conditions under which linesearch Newton methods for nonlinear systems of equations and optimization fail due to the presence of singular non-stationary points. These points are not solutions of the problem and are characterized by the fact that Jacobian or Hessian matrices are singular
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