摘要:

It is shown that the set of games having infinitely many equilibrium points is a subset of a proper algebraic subvariety within the set of noncooperative games of a particular size. This statement is true for games over an arbitrary order field.

ISSN:0323-3898    

DOI:10.1080/02331937908842601

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

A. Kirsch, W. Warth, J. Werner: Notwendige Optimalitätsbedingungen und Ihre Anwendung, Lecture Notes in Economics and Mathematical Systms, Vol. 152. Springer-Verlag, Berlin-Heidelberg-New York 1978, 157 S., DM 18.

ISSN:0323-3898    

DOI:10.1080/02331937908842602

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

D. Hausmann (ed.): Integer Programming and Related Areas. A Classified Bibliography 1976-1978. Lecture Notes in Economics and Mathematical Systems, Vol. 160. Springer-Verlag Berlin-Heidelberg-New York, 314 S., DM 32.

ISSN:0323-3898    

DOI:10.1080/02331937908842604

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

The paper deals with the following question: Given a proper convex functionfonRnsuch that domfj≠Rn, does there exist a convex function finite on all ofRnwhich agrees withfon domf? A necessary and sufficient condition for the existence of such a function is derived. Moreover, the existence of a .minimal function in the collection of all these functions is proved in the case where domfhas a nonempty interior. Examples illuminating some of the difficulties arising are considered at the beginning of the paper.

ISSN:0323-3898    

DOI:10.1080/02331937908842605

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

K.L. Chung: Elementare Wahrscheinlichkeitstheorie und stochastische Prozesse. (überset-zung aus dem Englischen.) Springer-Verlag Berlin-Heidlberg-New York 1978, 356 s., DM 32.

ISSN:0323-3898    

DOI:10.1080/02331937908842606

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

In the present paper the concept of so-called local stability sets introduced by F. Nožička in parametric linear programming is extend to the case of convex quadratic programs parametrized in the objective function and in the right-hand side of the linear constraints. The continuity of the optimal-set-map and of the extreme value function holds on these sets. It is shown that the local stability sets are connected. Examples which illustrate the necessity of certain assumptions are given.

ISSN:0323-3898    

DOI:10.1080/02331937908842607

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

C. Lemarechal, R. Mifflin (eds.): Nonsmooth Optimization. Proceedings of a IIAsa workshop, March 28-April 8, 1977. Ilasa Proceddings Series, Volume 3. Pergamon Press, Oxford 1978, 194 p., £ 12,50.

ISSN:0323-3898    

DOI:10.1080/02331937908842608

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

A classification of travelling salesman problems into symmetric and asymmetric problems based on a suitable equivalence transformation (e.g., addition of constants by rows and columns in the distance matrix) is proposed. It is shown that an arbitrary travelling salesman problem which does not satisfy the triangle inequality can be transformed in the sense mentioned above into a problem satisfying the triangle inequality.

ISSN:0323-3898    

DOI:10.1080/02331937908842609

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

A suitable dualization is used for construction of unconstrained dual programs to a certain rather general class of optimal control problems. Using the effective tool of convex analysis, conditions are specified, under which costs of those dual programs are differentiable. The developed theory is illustrated on examples representing simultaneously main areas of applicability of the presented approach.

ISSN:0323-3898    

DOI:10.1080/02331937908842610

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor

摘要:

A model of optimal control for discrete systems and the historical development of the discrete maximum principle are considered. The paper deals with local optimality conditions of the first order, e.g. with a local maximum-principle and a quasi-maximum principle. Furthermore, optimality conditions of higher order, e. g. an optimality condition for singular controls are given.

ISSN:0323-3898    

DOI:10.1080/02331937908842611

出版商:Akademic-Verlag    

年代:1979

数据来源: Taylor