First, sufficient conditions of minimal character are given which guarantee the sequential closedness of the set-valued function defined by the parametric weak-multicriteria Nash equilibria of a parametric multicriteria game, that is to say: a convergent sequence of parametric weak-multicriteria Nash equilibria, corresponding to an approximate value of the parameter xn, converges to a weak-multicriteria Nash equilibrium corresponding to the limit value x of the sequence (xn)n. Then, approximating sequences and parametrically well-posedness for a multicriteria game are introduced and investigated.
Approximations and Well-posedness in Multicriteria Games / Morgan, Jacqueline. - In: ANNALS OF OPERATIONS RESEARCH. - ISSN 0254-5330. - STAMPA. - 137:(2005), pp. 257-268. [10.1007/s10479-005-2260-9]
Approximations and Well-posedness in Multicriteria Games
MORGAN, JACQUELINE
2005
Abstract
First, sufficient conditions of minimal character are given which guarantee the sequential closedness of the set-valued function defined by the parametric weak-multicriteria Nash equilibria of a parametric multicriteria game, that is to say: a convergent sequence of parametric weak-multicriteria Nash equilibria, corresponding to an approximate value of the parameter xn, converges to a weak-multicriteria Nash equilibrium corresponding to the limit value x of the sequence (xn)n. Then, approximating sequences and parametrically well-posedness for a multicriteria game are introduced and investigated.File | Dimensione | Formato | |
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