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Mathematics
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Mathematics of Games Theory
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Mathematics of Games Theory

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: 31 December 2024 | Viewed by 1995

Special Issue Editors

Prof. Dr. Fernanda A. Ferreira

E-Mail Website
Guest Editor
UNIAG, ESHT, Polytechnic of Porto, Department of Information Systems and Mathematics, Rua D. Sancho I 981, 4480-876 Vila do Conde, Portugal
Interests: tourism research; econometric modelling; game theory
Prof. Dr. Flávio Ferreira

E-Mail Website
Guest Editor
UNIAG, ESHT, Polytechnic of Porto, Department of Information Systems and Mathematics, Rua D. Sancho I 981, 4480-876 Vila do Conde, Portugal
Interests: industrial organization; game theory; tourism

Special Issue Information

Dear Colleague,

We would like to invite you to submit your most recent research to this Special Issue, “Mathematics of Games Theory”, in the journal Mathematics.

Game theory, a branch of applied mathematics, is the theory of rational decision-making, and it is an important tool in different areas, such as economics and business, political science, artificial intelligence, computer science, engineering, and tourism.

There are many examples in our daily lives that can be explained by game theory, e.g., collective bargaining; decisions related to new products; product pricing decisions; and stock market decisions.

This Special Issue of Mathematics aims to provide a compendium of manuscripts that contribute to the development of the use of game theory to understand real-life situations.

Prof. Dr. Fernanda A. Ferreira
Prof. Dr. Flávio Ferreira
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • non-cooperatives games and their applications
  • cooperatives games and their applications
  • repeated games
  • airport games
  • game theory applied to artificial intelligence, industrial organization, tourism, etc
  • Bayesian games
  • mathematical game theory

Published Papers (2 papers)

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Research

21 pages, 1424 KiB  
Article
Technological Innovation Investment Channels of Industry–University–Research Alliance Enterprises and Non-Alliance Enterprises Based on Evolutionary Game
by Qixuan Tang, Chengjun Wang and Tao Feng
Mathematics 2024, 12(2), 289; https://doi.org/10.3390/math12020289 - 16 Jan 2024
Viewed by 644
Abstract
According to their resource ownership and resource acquisition channels, this paper constructs an evolutionary game model of enterprises’ technological innovation investment channels considering managers’ expectations. This results in the strategy of non-alliance firms along the first channel having a significant impact on the [...] Read more.
According to their resource ownership and resource acquisition channels, this paper constructs an evolutionary game model of enterprises’ technological innovation investment channels considering managers’ expectations. This results in the strategy of non-alliance firms along the first channel having a significant impact on the evolutionary equilibrium. For non-alliance enterprises, the difference in the amount of investment in the R&D stage has the same impact on the probability of such enterprises following the first channel. The number of active managers, group capacity, the difference in managers’ expectations, and the difference in the amount of technological innovation investment in the R&D stage have significant differences in the possibility of choosing the first channel between the two types of enterprises. The research conclusions can provide valuable references for enterprises to make technological innovation decisions. Full article
(This article belongs to the Special Issue Mathematics of Games Theory)
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16 pages, 538 KiB  
Article
Research on the Group Innovation Information-Sharing Strategy of the Industry–University–Research Innovation Alliance Based on an Evolutionary Game
by Qixuan Tang, Chengjun Wang and Tao Feng
Mathematics 2023, 11(19), 4161; https://doi.org/10.3390/math11194161 - 3 Oct 2023
Cited by 3 | Viewed by 1023
Abstract
Based on various factors in information sharing between innovation alliance groups, this paper analyzes innovation information sharing under the influence of various factors and its evolutionary path to provide a reference for the decision-making of innovation information sharing between innovation alliance groups. Firstly, [...] Read more.
Based on various factors in information sharing between innovation alliance groups, this paper analyzes innovation information sharing under the influence of various factors and its evolutionary path to provide a reference for the decision-making of innovation information sharing between innovation alliance groups. Firstly, the paper analyzes the main factors influencing alliance group innovation information-sharing behavior. Secondly, based on the evolutionary game theory, an evolutionary game model of innovative information sharing under the cooperative trust degree of group decision-makers is constructed, and the related stable strategies are given. Finally, the sensitivity of innovative information-sharing strategies to key influencing factors is analyzed with the help of actual case data. The results show that a reasonable amount of innovation information sharing and fair profit distribution can improve the innovation information-sharing behavior among the industry–university–research alliance. Considering the trust degree of vertical partners, the alliance group pays more attention to the profit distribution ratio of collaborative innovation of the innovation alliance than the profit amount. When horizontal partner trust is considered, horizontal cooperation trust can promote information sharing among enterprises, universities, and research institutes in the short term but impedes information sharing among groups in the long term. Full article
(This article belongs to the Special Issue Mathematics of Games Theory)
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