scholarly journals On Borel probability measures and noncooperative game theory

Optimization ◽  
2005 ◽  
Vol 54 (1) ◽  
pp. 81-101 ◽  
Author(s):  
J.B.G. Frenk ◽  
G. Kassay ◽  
V. Protasov
Author(s):  
João P. Hespanha

This book is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. The book shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to “the game” solve the original design problem? Using the fundamentals of game theory, the book explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, the book examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. The book looks at such standard topics as zero-sum, non-zero-sum, and dynamic games and includes a MATLAB guide to coding. This book offers students a fresh way of approaching engineering and computer science applications.


1999 ◽  
Vol 37 (3) ◽  
pp. 1067-1082 ◽  
Author(s):  
Roger B Myerson

John Nash's formulation of noncooperative game theory was one of the great breakthroughs in the history of social science. Nash's work in this area is reviewed in its historical context to better understand how the fundamental ideas of noncooperative game theory were developed and how they changed the course of economic theory.


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