Optimal Decisions under Uncertainty

1. Front Matter

   Pages N2-viii

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2. Optimal Decisions: Theory and Practice

   • Jati K. Sengupta

   Pages 1-3

3. Linear Programming under Uncertainty

   • Jati K. Sengupta

   Pages 4-37

4. Risk Aversion in Decision Models

   • Jati K. Sengupta

   Pages 38-77

5. Linear Allocation Rules under Uncertainty

   • Jati K. Sengupta

   Pages 78-107

6. Economic Planning under Uncertainty

   • Jati K. Sengupta

   Pages 108-130

7. Stochastic Programs as Nonzero Sum Games

   • Jati K. Sengupta

   Pages 131-153

8. Research Trends and Problems

   • Jati K. Sengupta

   Pages 154-156

9. Back Matter

   Pages 159-161

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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

• Department of Economics, University of California, Santa Barbara, USA

  Jati K. Sengupta

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