Accession Number : ADA260025


Title :   An Investigation of Mathematical Theories of Strategy


Descriptive Note : Special rept.


Corporate Author : TACTICAL WEAPONS GUIDANCE AND CONTROL INFORMATION ANALYSIS CENTER CHICAGO IL


Personal Author(s) : Fowler, Bruce W


Report Date : May 1991


Pagination or Media Count : 47


Abstract : Modern strategic theory is a rich field built on classical foundations. Modern scientific theory can provide tools to enrich and augment strategic theory. Mathematical theories conjugate to a general theory of strategy are one such enrichment. This report presents an investigation of such theories by first describing the idea of conjugate theories. The work of classical and contemporary strategists is then reviewed to show the basis within existing strategic theory for conjugate theories. Next, the relationship of conjugate theories to general theories is described. Jones' historically based general and conjugate theories of strategy are presented as an example. General requirements for a mathematically conjugate theory of strategy are proposed. Finally, a simple mathematical conjugate theory of strategy, based on the general strategy. model of Lykke, is developed by expressing ends and means as mathematical states and ways as mathematical state equations. Internal changes in the ends and means can then be described within the context of the evolution of the corresponding mathematical states. External changes can be described within the context of the way state equations. Definitions are presented, and the relationship of the general and mathematically conjugate theories is sketched.


Descriptors :   *MILITARY STRATEGY , *APPLIED MATHEMATICS , *GAME THEORY , MATHEMATICAL MODELS , REQUIREMENTS , STRATEGY , MODELS , MATRICES(MATHEMATICS) , THEORY , AVAILABILITY , INTERNAL , MATHEMATICAL ANALYSIS , MATHEMATICS , EXTERNAL , RECREATION , EQUATIONS OF STATE


Subject Categories : Numerical Mathematics
      Operations Research
      Military Operations, Strategy and Tactics


Distribution Statement : APPROVED FOR PUBLIC RELEASE