Optimal Decisions under Uncertainty

by J.K. Sengupta

Overview

The theory of optimal decisions in a shastic 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 important applied aspects of this theory and its recent developments. The shastic 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 shastic programming, and (c) systems science models in shastic 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: International Journal of Systems Science, Journal of Optimization Theory and Applica­ tions and Journal of Mathematical Analysis and Applications.

Product Details

ISBN-13:	9783540108696
Publisher:	Springer Berlin Heidelberg
Publication date:	09/30/1981
Series:	Lecture Notes in Economics and Mathematical Systems , #193
Pages:	161
Product dimensions:	6.69(w) x 9.61(h) x 0.01(d)

Table of Contents

1. Optimal Decisions: Theory and Practice.- 2. Linear Programming Under Uncertainty.- 2.1 Introduction.- 2.2 Mixed Strategy Solutions.- 2.3 Informational Efficiency.- 2.4 Econometric Tests.- 3. Risk Aversion in Decision Models.- 3.1 Introduction.- 3.2 Risk Aversion in Economic Models.- 3.3 Applications in Other Models.- 3.4 Selected Empirical Applications.- 4 Linear Allocation Rules Under Uncertainty.- 4.1 Introduction.- 4.2 Comparative Analysis of Allocation Rules.- 4.3 Estimation and Regulation by Allocation.- 4.4 Team Decisions as Games.- 4.5 Allocation Under Imperfect Competition.- 5. Economic Planning Under Uncertainty.- 5.1 Introduction.- 5.2 Input-Output Model Under Risk Aversion.- 5.3 Output Planning Under Imperfect Competition.- 5.4 Stabilization Policy Under Constraints.- 6. Shastic Programs as Nonzero Sum Games.- 6.1 Introduction.- 6.2 Games with Unknown Parameters.- 6.3 Constrained Statistical Games.- 7. Research Trends and Problems.