© 1981

Optimal Decisions under Uncertainty


Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 193)

Table of contents

  1. Front Matter
    Pages N2-viii
  2. Jati K. Sengupta
    Pages 1-3
  3. Jati K. Sengupta
    Pages 4-37
  4. Jati K. Sengupta
    Pages 38-77
  5. Jati K. Sengupta
    Pages 78-107
  6. Jati K. Sengupta
    Pages 108-130
  7. Jati K. Sengupta
    Pages 131-153
  8. Jati K. Sengupta
    Pages 154-156
  9. Back Matter
    Pages 159-161

About this book


The theory of optimal decisions in a stochastic environment has seen many new developments in recent years. The implications of such theory for empirical and policy applications are several. This book attempts to analyze some of the impor­ tant applied aspects of this theory and its recent developments. The stochastic environment is considered here in specific form, e.g., (a) linear programs (LP) with parameters subject to a probabilistic mechanism, (b) decision models with risk aversion, (c) resource allocation in a team, and (d) national economic planning. The book attempts to provide new research insights into several areas, e.g., (a) mixed strategy solutions and econometric tests of hypotheses of LP models, (b) the dual problems of efficient estimation and optimal regulation, (c) input-output planning under imperfect competition, and (d) linear programs viewed as constrained statistical games. Methods of optimal decision rules developed here for quadratic and linear decision problems are applicable in three broad areas: (a) applied economic models in resource allocation, planning and team decision, (b) operations research models in management decisions involving portfolio analysis and stochastic programming, and (c) systems science models in stochastic control and adaptive behavior. Some results reported here have been published in professional journals be-. fore, and I would like to thank the following journals in particular: Inter­ national Journal of Systems Science, Journal of Optimization Theory and Applica­ tions and Journal of Mathematical Analysis and Applications.


Decisions Entscheidung (Wirtsch.) Optimierung Unsicherheit (Wirtsch.) linear optimization operations research

Authors and affiliations

  1. 1.Department of EconomicsUniversity of CaliforniaSanta BarbaraUSA

Bibliographic information

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