A Differential Stackelberg Game Theoretic Model of the Promotion of Innovations in Universities

Q3 Engineering

Advances in Systems Science and Applications Pub Date : 2020-09-30 DOI:10.25728/ASSA.2020.20.3.977

M. Malsagov, G. Ougolnitsky, A. Usov

引用次数: 3

Abstract

A two-level dynamical game theoretic model "federal state - universities" in open-loop strategies is built and investigated. A refinement of the electronic learning courses, and their differentiation using modern methods of information technologies made by competing a la Cournot universities (agents) are treated as innovative investments. The algorithms of building Nash (in the non-coalitional game of agents) and Stackelberg (in the hierarchical game of the Principal with the grand coalition of agents) equilibria are proposed and implemented. For the solution of the respective dynamic control problems the Pontryagin maximum principle and simulation modeling are used. A comprehensive analysis of the received results is given.

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促进高校创新的微分Stackelberg博弈模型

建立并研究了开环策略下的“联邦州立大学”两级动态博弈论模型。对电子学习课程的改进，以及利用古诺大学(代理)竞争的现代信息技术方法进行的差异化，都被视为创新投资。提出并实现了主体非联盟博弈中的Nash均衡和主体大联盟博弈中的Stackelberg均衡。针对各自的动态控制问题，采用了庞特里亚金极大值原理和仿真建模方法。对所得结果进行了综合分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Systems Science and Applications Engineering-Engineering (all)

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.