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
Game Theory: Mathematical Approaches and Applications
share announcement

Game Theory: Mathematical Approaches and Applications

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

Deadline for manuscript submissions: closed (31 January 2023) | Viewed by 4262

Special Issue Editor

Prof. Dr. Manuel Alberto Martins Ferreira

E-Mail Website
Guest Editor
Departmento de Matemática, Escola de Tecnologias e Arquitetura, Iscte-Instituto Universitário de Lisboa, Av. das Forças Armadas, 1649-026 Lisboa, Portugal
Interests: mathematics; probability and statistics; stochastic processes; queue theory; game theory; chaos theory; Bayesian statistics; applications in economics, management and finance; applications in forensic Identification; applications in social phenomena

Special Issue Information

Dear Colleagues,

The main goal of Game Theory is the study of mathematical models of strategic interaction between rational decision makers. It has applications in all fields of social sciences, as well as in logic, systems science and computer science. Game Theory today applies to a myriad of behavioral relationships, and is now a comprehensive term for the science of logical decision-making in humans, animals and computers. Thus, it is also called “science of strategy”.

Whether in the definition of concepts and development of theory, or in the construction of conceptual models for applications in practical life, Game Theory has led to the use and construction of very interesting mathematical models.

We would like to invite you to submit your work for the Special Edition “Game Theory: Mathematical Approaches and Applications”. This special issue seeks high quality contributions in the mathematical formulation of Game Theory concepts and tools, and also in its application to the modeling and study of practical situations.

Prof. Manuel Alberto Martins Ferreira
Guest Editor

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

  • Convex programming
  • Minimax theorem
  • Nash equilibrium
  • Equilibria equivalence
  • Equilibrium selection
  • Repeated games
  • Imperfect information games
  • Management
  • Economics
  • Biology

Published Papers (1 paper)

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

Research

17 pages, 1775 KiB  
Article
A Nikaido Isoda-Based Hybrid Genetic Algorithm and Relaxation Method for Finding Nash Equilibrium
by Napat Harnpornchai and Wiriyaporn Wonggattaleekam
Mathematics 2022, 10(1), 81; https://doi.org/10.3390/math10010081 - 27 Dec 2021
Cited by 1 | Viewed by 3022
Abstract
Nash Equilibrium (NE) plays a crucial role in game theory. The relaxation method in conjunction with the Nikaido–Isoda (NI) function, namely the NI-based relaxation method, has been widely applied to the determination of NE. Genetic Algorithm (GA) with adaptive penalty is introduced and [...] Read more.
Nash Equilibrium (NE) plays a crucial role in game theory. The relaxation method in conjunction with the Nikaido–Isoda (NI) function, namely the NI-based relaxation method, has been widely applied to the determination of NE. Genetic Algorithm (GA) with adaptive penalty is introduced and incorporated in the original NI-based relaxation method. The GA enhances the capability in the optimization step for computing the optimum response function. The optimization of the non-convex and non-concave NI function is made possible by GA. The proposed method thus combines the advantageous feature of the GA in its optimization capability and that of the relaxation method in its implementation simplicity together. The applicability of the method is shown through the illustrative examples, including the generalized Nash Equilibrium problem with nonlinear payoff functions and coupled constraints, the game with multiple strategic variables for individual players, and the non-differentiable payoff functions. All test example results suggest the appropriate crossover and mutation rate to be 0.05 and 0.002 for use in GA. These numbers are closed to the recommended values by DeJong. The proposed method shows its capability of finding correct NEs in all test examples. Full article
(This article belongs to the Special Issue Game Theory: Mathematical Approaches and Applications)
►▼ Show Figures

Figure 1

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