The problem to be considered here is the one faced by bargainers who must reach a consensus--i.e., a unanimous decision. Specifically, we will be consid ering n-person games in which there is a set of feasible alternatives, any one of which can be the outcome of bargaining if it is agreed to by all the bargainers. In the event that no unanimous agreement is reached, some pre-specified disagree ment outcome will be the result. Thus, in games of this type, each player has a veto over any alternative other than the disagreement outcome. There are several reasons for studying games of this type....

The papers appearing in this Volume were selected from a collec tion of papers presented at the Internationa Symposium on Extrema Methods and Systems Ana ysis on the Occasion of Professor A. Charnes' 60th Birthday, at the University of Texas in Austin, 13-15 September 1977. As coeditors, we have followed the normal editorial procedures of scholarly journals. We have obtained invaluable assistance from a number of colleagues who essentially performed the duties of associate editors, coordinating most of the reviews. All papers except those appearing in the Historica Perspectives section were...

This vo1ume contains most of the papers (two of the~ as extended abstracts) presented at a meeting on stochastic programming, held at Oberwolfach, January 28 - February 3, 1979. A1though the number of participants had to be small for technical rea- sons, the area covered by the 1ectures during the meeting was rather broad. lt contains fundamental theoretical problems - e.g. continuity in parametric programming, optima1ity conditions and decision rules for stochastic programming problems and convexity statements also nee- ded for chance constrained problems - as well as very important prac-...

The disjunctive cut principle of Balas and Jeroslow, and the related polyhedral annexation principle of Glover, provide new insights into cutting plane theory. This has resulted in its ability to not only subsume many known valid cuts but also improve upon them. Originally a set of notes were written for the purpose of putting together in a common terminology and framework significant results of Glover and others using a geometric approach, referred to in the literature as convexity cuts, and the algebraic approach of Balas and Jeroslow known as Disjunctive cuts. As it turned out subsequently...

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This study has grown out of a part of the author's thesis "Some Simple and Bulk Queueing Systems: A Study of Their Transient Behavior" submitted to the University of Western Australia (1964) and a course on Queueing Theory given to graduate students in the Operations Research Group of Case Institute of Technology, Cleveland, Ohio. The one semester course (approximately 35 hours) consisted of the following topics. (i) Some of the important special queues such as M/M/s, M/D/s, M/Ek/l etc., with emphasis on the different methods employed in the transient as well as steady state solution. (ii)...

This paper is intended for the beginner. It is not a state of-the-art paper for research workers in the field of control theory. Its purpose is to introduce the reader to some of the problems and results in control theory, to illustrate the application of these re sults, and to provide a guide for his further reading on this subject. I have tried to motivate the results with examples, especial ly with one canonical, simple example described in 3. Many results, such as the maximum principle, have long and difficult proofs. I have omitted these proofs. In general I have included only the proofs...

This book is based on lectures given by the author at the IBM European Systems Research Institute (ESRI) in Geneva. Information Theory on the syntactic level, as introduced by Claude Shannon in 1949, has many limitations when applied to information processing by computers. But in spite of some obvious shortcomings, the underlyin~ principles are of fundamental importance for systems engineers in understanding the nature of the problems of handling information, its acquisition, storage, processing, and interpretation. The lectures, as presented in this book, attempt to give an exposition of the...

This volume is based on papers presented at the 2nd International Conference on Computing Methods in Optimization Problems held in San Remo, Italy, September 9-13, 1968. The Conference was sponsored by the Society of Industrial and Applied Mathematicians (SIAM), with the cooperation of the University of California and the Univer- sity of California and the University of Southern Califor- nia. The Conference focussed on recent advances in com- putational methods for optimization problems in diverse areas including: Computational Aspects of Optimal Control and Trajec- tory Problems;...

These essays in honor of Professor Gerhard Tintner are substantive contributions to three areas of econometrics, (1) economic models and applications, . (2) estimation, and (3) stochastic programming, in each of which he has labored with outstanding success. His own work has extended into multivariate analysis, the pure theory of decision-making under un certainty, and other fields which are not touched upon here for reasons of space and focus. Thus, this collection is appropriate to his interests but covers much less than their full range. Professor Tintner's contributions to econometrics...