Results 221 to 230 of about 59,515 (231)

(∊,k) EQUILIBRIA AND WELL-POSEDNESS

International Game Theory Review, 2006
The aim of this paper is to discuss a new concept of well-posedness for non cooperative games. Starting from the definition of (∊,k) equilibrium as the point where every player either guarantees at least k or he (she) does not lose more than ∊, we introduce an original definition of well-posedness. We study characterizations of this well-posedness and
MARCO MARGIOCCO, LUCIA PUSILLO
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Well-posedness of Nonconvex Integral Functionals [PDF]

Proceedings of the 44th IEEE Conference on Decision and Control, 2004
Multiple integrals of the calculus of variations with vector-valued unknown are considered. Strong Tikhonov well-posedness within \(W^{1,1}_0\) of the corresponding minimum problems is proved assuming strict convexity of the integrand at the gradient of the minimizer.
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On well‐posedness and conditioning in optimization

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2004
AbstractWe survey some results dealing with well‐posedness of scalar optimization problems, with applications to the optimal control of ordinary differential equations under plant perturbations. Then we deal with the definition of a condition number for optimization problems.
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Well Posedness and Inf-Convolution

Journal of Optimization Theory and Applications, 2018
We prove that the notion of Tykhonov well-posed problems is stable under the operation of inf-convolution. We deal with lower semicontinuous functions (not necessarily convex) defined on a metric magma. Several applications are given, in particular to the study of the map argmin.
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Well Posedness and Optimization Problems

2007
This contribution is in the field of Game Theory and Nash equilibria. The property of Tihkonov well posedness is analyzed in relation to other well posedeness properties which are ordinal, a very important property for games because it emphasizes the fact that players’ decisions are expressed by preferences and not by a special choice of utility ...
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Well-posedness of hybrid systems

2004
Well-posedness problems arise in hybrid systems theory as a consequence of the use of implicit descriptions and of solution concepts that are based on relaxations. Examples show that the well-posedness issue is considerably more complex in hybrid systems than in continuous systems, as a result of a number of factors including the possible presence of ...
Camlibel, M.K., Heemels, W.P.M.H., van der Schaft, Abraham Jan, Schumacher, J.M.   +3 more
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Well-posedness of the cauchy problem for an inclusion

Differential Equations, 2004
The author considers the Cauchy problem for the inclusion \[ u'(t)\in {\mathcal A}u(t), \,\,\, t\in [0,t), \,\, t\leq \infty, \quad u(0)=x, \] with a linear multi-valued operator \({\mathcal A}\) in a Banach space \(X.\) He obtains a criterion for well-posedness on the set \(D({\mathcal A}^{n+1})\) in terms of the degenerate semigroup with generator \({
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Tykhonov well-posedness [PDF]

, 1993
Tullio Zolezzi, Asen L. Dontchev
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Generic well-posedness

1993
Asen L. Dontchev, Tullio Zolezzi
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10. Well-Posedness

2004
Hyeonbae Kang, Habib Ammari
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