Mathematical Methods of Game and Economic Theory is popular PDF and ePub book, written by Jean-Pierre Aubin in 2007-01-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Methods of Game and Economic Theory can be Read Online from any device for your convenience.
Mathematical Methods of Game and Economic Theory Book PDF Summary
Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.
Detail Book of Mathematical Methods of Game and Economic Theory PDF
- Author : Jean-Pierre Aubin
- Release : 01 January 2007
- Publisher : Courier Corporation
- ISBN : 9780486462653
- Genre : Mathematics
- Total Page : 658 pages
- Language : English
- PDF File Size : 8,7 Mb
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