Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.0
2.3
Journals
Mathematics
Special Issues
Mathematics of Games Theory
share announcement

Mathematics of Games Theory

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E5: Financial Mathematics".

Deadline for manuscript submissions: closed (31 December 2024) | Viewed by 4111

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

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (4 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

30 pages, 5773 KiB  
Article
Game Theory-Based Risk Assessment of the Use of Autonomous Cars in an Urbanized Area
by Vasilena Adamova, Stoyan Popov, Simona Todorova, Silvia Baeva and Nikolay Hinov
Mathematics 2025, 13(4), 553; https://doi.org/10.3390/math13040553 - 7 Feb 2025
Viewed by 506
Abstract
With the advancement of autonomous vehicles and their integration into urbanized areas, new challenges emerge related to safety and risk management. This paper presents an approach to assessing the risks of using autonomous cars in urban environments based on game theory. The analysis [...] Read more.
With the advancement of autonomous vehicles and their integration into urbanized areas, new challenges emerge related to safety and risk management. This paper presents an approach to assessing the risks of using autonomous cars in urban environments based on game theory. The analysis focuses on interactions between autonomous and traditional vehicles, as well as other road participants, such as pedestrians and cyclists. By employing game theory models, potential conflicts, risk scenarios, and their impact on traffic safety and efficiency are identified. The proposed methods provide a foundation for developing risk management strategies that contribute to the safe and sustainable integration of autonomous vehicles in urban areas. Full article
(This article belongs to the Special Issue Mathematics of Games Theory)
►▼ Show Figures

Figure 1

18 pages, 307 KiB  
Article
On Priority in Multi-Issue Bankruptcy Problems with Crossed Claims
by Rick Acosta-Vega, Encarnación Algaba and Joaquín Sánchez-Soriano
Mathematics 2025, 13(2), 246; https://doi.org/10.3390/math13020246 - 13 Jan 2025
Viewed by 470
Abstract
In this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among a certain set of agents that have exactly one claim that is used for all resources. [...] Read more.
In this paper, we analyze the problem of how to adapt the concept of priority to situations where several perfectly divisible resources have to be allocated among a certain set of agents that have exactly one claim that is used for all resources. In particular, we introduce constrained sequential priority rules and two constrained random arrival rules which extend the classical sequential priority rules and the random arrival rule to these situations. We also provide an axiomatic analysis of these rules. Finally, we present a numerical example to compare the constrained random arrival rule to other solutions in this context. Full article
(This article belongs to the Special Issue Mathematics of Games Theory)
►▼ Show Figures

Figure 1

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
Cited by 1 | Viewed by 922
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)
►▼ Show Figures

Figure 1

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 6 | Viewed by 1532
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)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-4
Back to TopTop