Accession Number : AD0754732

Title :   Multiple Resource-Constrained Game Solution.

Descriptive Note : Technical rept.,

Corporate Author : LAMBDA CORP ARLINGTON VA

Personal Author(s) : Caldwell,J. G. ; Pugh,G. E.

Report Date : 07 APR 1972

Pagination or Media Count : 27

Abstract : The paper addresses the problem of evaluating general-purpose forces and for relating the value of a force type to the other allied forces available and to enemy forces present in a short time period. The formulation is in terms of a zero-sun game whose payoff elements and strategies are functions of force levels used; further, since these force levels are constrained over short periods of time, the formulation is that of a resource-constrained zero-sun game. The problem outlines a computational procedure for solving such a game. The procedure directly produces Lagrange multipliers associated with each resource (or force type). The multiplier for a force type indicates its value -- directly or indirectly -- in achieving the solution payoff of the game. The procedure used here involved the use of generalized Lagrange multipliers in conjunction with Brown's method of fictitious play. (Author)

Descriptors :   (*NAVAL OPERATIONS, *GAME THEORY), LINEAR PROGRAMMING, CONVEX SETS, MILITARY STRATEGY, MATHEMATICAL MODELS

Subject Categories : Operations Research
      Naval Surface Warfare

Distribution Statement : APPROVED FOR PUBLIC RELEASE