Wolfram Summer School 2018: A Game Theory Package for the Wolfram Language
Author
Valeriu Ungureanu
Title
Wolfram Summer School 2018: A Game Theory Package for the Wolfram Language
Description
Wolfram Summer School 2018: A Game Theory Package for the Wolfram Language
Category
Essays, Posts & Presentations
Keywords
Wolfram Summer School 2018
URL
http://www.notebookarchive.org/2018-12-53xj984/
DOI
https://notebookarchive.org/2018-12-53xj984
Date Added
2018-12-11
Date Last Modified
2018-12-11
File Size
1.61 megabytes
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WOLFRAM SUMMER SCHOOL 2018
Last modified on: Friday, June 29, 2018 at 14:58
Author Info
Name:
Valeriu
Mentor:
Ungureanu
Affiliation:
Moldova State University
Poster Session Content
Title of project:
A Game Theory Package for the Wolfram Language
Goal of the project:
Theory of Games has an impressive development during the last 70 years both as a domain of applied mathematics and a part of various important domains of human activity such as operations research, economics, techniques, social and political sciences, biology, computer science etc. From their essence as a theory of mathematical models of interactive decision making, game theory includes both various mathematical models and solution notions. There are no general and efficient methods to solve mathematical models of strategic game theory.
In this project we intend to initiate a game theory Wolfram Language package. As a starting point for such package, we intend to construct software for solving poly-matrix mixed strategy games. It’s important to remark that from computational complexity point of view such games are NP-hard. We intend to use the method of intersection of graphs of best response mappings as a method for solving poly-matrix mixed strategy games. The method is exposed in my recent monograph “Pareto-Nash-Stackelberg Game and Control Theory”, Springer International Publishing, 2018, XXI + 343 pp. Some particular important problems which allow a graphical representation are already solved in the Wolfram language. So, we intend to approach the general case.
It’s important to mention that there is no sufficiently good software to solve game theory problems at the moment. So, our intentions are with many expectations. We hope that advanced Wolfram Technologies and very qualified WRI instructors will permit us to start a successful story of a new domain of application of the Wolfram Language and Mathematica system, but, simultaneously, a new story of an efficient and successful game theory software.
In this project we intend to initiate a game theory Wolfram Language package. As a starting point for such package, we intend to construct software for solving poly-matrix mixed strategy games. It’s important to remark that from computational complexity point of view such games are NP-hard. We intend to use the method of intersection of graphs of best response mappings as a method for solving poly-matrix mixed strategy games. The method is exposed in my recent monograph “Pareto-Nash-Stackelberg Game and Control Theory”, Springer International Publishing, 2018, XXI + 343 pp. Some particular important problems which allow a graphical representation are already solved in the Wolfram language. So, we intend to approach the general case.
It’s important to mention that there is no sufficiently good software to solve game theory problems at the moment. So, our intentions are with many expectations. We hope that advanced Wolfram Technologies and very qualified WRI instructors will permit us to start a successful story of a new domain of application of the Wolfram Language and Mathematica system, but, simultaneously, a new story of an efficient and successful game theory software.
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Cite this as: Valeriu Ungureanu, "Wolfram Summer School 2018: A Game Theory Package for the Wolfram Language" from the Notebook Archive (2018), https://notebookarchive.org/2018-12-53xj984
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