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2,147 Results Found

  • Article
  • Open Access
5 Citations
2,241 Views
16 Pages

2 September 2020

We consider a dynamic, discrete-time, game model where n players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative eq...

(This article belongs to the Special Issue Game Theory)
  • Article
  • Open Access
5 Citations
3,471 Views
40 Pages

Tripartite Dynamic Zero-Sum Quantum Games

  • Hui-Min Cheng and
  • Ming-Xing Luo

27 January 2021

The Nash equilibrium plays a crucial role in game theory. Most of results are based on classical resources. Our goal in this paper is to explore multipartite zero-sum game with quantum settings. We find that in two different settings there is no stra...

(This article belongs to the Section Quantum Information)
  • Article
  • Open Access
18 Citations
3,715 Views
9 Pages

5 September 2018

The approaches to construct optimal behavior in dynamic multicriteria games with finite horizon are presented. To obtain a multicriteria Nash equilibrium, the bargaining construction (Nash product) is adopted. To construct a multicriteria cooperative...

(This article belongs to the Special Issue Mathematical Game Theory)
  • Article
  • Open Access
37 Citations
27,844 Views
26 Pages

Maintaining player engagement is pivotal for video game success, yet achieving the optimal difficulty level that adapts to diverse player skills remains a significant challenge. Initial difficulty settings in games often fail to accommodate the evolv...

  • Systematic Review
  • Open Access
8 Citations
4,412 Views
24 Pages

Dynamic Difficulty Adjustment in Serious Games: A Literature Review

  • Lucia Víteková,
  • Christian Eichhorn,
  • Johanna Pirker and
  • David A. Plecher

17 January 2026

This systematic literature review analyzes the role of dynamic difficulty adaptation (DDA) in serious games (SGs) to provide an overview of current trends and identify research gaps. The purpose of the study is to contextualize how DDA is being emplo...

(This article belongs to the Section Information Processes)
  • Feature Paper
  • Article
  • Open Access
19 Citations
8,395 Views
16 Pages

Creating Competitive Opponents for Serious Games through Dynamic Difficulty Adjustment

  • David Kristan,
  • Pedro Bessa,
  • Ricardo Costa and
  • Carlos Vaz de Carvalho

14 March 2020

Competition is a basic element of our society. It drives us to rise above previously perceived limitations, increases our engagement and makes the world more interesting. Competition rewards our existing skills and prompts us to identify and improve...

(This article belongs to the Special Issue Advances in Mobile Gaming and Games-based Leaning)
  • Article
  • Open Access
9 Citations
4,813 Views
22 Pages

21 November 2022

Artificial intelligence in games is one of the most challenging tasks in academia and industry. In action role-playing games, how to manage combat effectively is a key issue related to game development and the player’s experience. The Belgian a...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
3,530 Views
37 Pages

3 March 2025

We consider a dynamic game with asymmetric information where each player privately observes a noisy version of a (hidden) state of the world V, resulting in dependent private observations. We study the structured perfect Bayesian equilibria (PBEs) th...

(This article belongs to the Section Learning and Evolution in Games)
  • Article
  • Open Access
4 Citations
4,889 Views
17 Pages

26 December 2021

We study the efficient computation of power indices for weighted voting games with precoalitions amongst subsets of players (reflecting, e.g., ideological proximity) using the paradigm of dynamic programming. Starting from the state-of-the-art algori...

(This article belongs to the Special Issue Weighted Majority Voting Games)
  • Feature Paper
  • Article
  • Open Access
1,168 Views
20 Pages

3 June 2026

Many engineering problems must account for the non-cooperative decisions and actions of multiple players. These problems can be modeled within a game-theoretic framework. The approach herein is to model such problems as mathematical games, convert th...

  • Article
  • Open Access
460 Views
20 Pages

5 June 2026

Uncertain dynamic games have recently emerged as a rigorous and versatile framework for the analysis and synthesis of multi-agent decision-making processes in complex, stochastic, and dynamically evolving environments. By integrating foundational con...

(This article belongs to the Special Issue Trends and Prospects in Control and Dynamic Games)
  • Article
  • Open Access
1 Citations
2,624 Views
15 Pages

This paper introduces a dynamic mechanism design tailored for uncertain environments where incentive schemes are challenged by the inability to observe players’ actions, known as moral hazard. In these scenarios, the system operates as a Markov...

  • Article
  • Open Access
7 Citations
4,171 Views
28 Pages

Engagement Analysis Using Electroencephalography Signals in Games for Hand Rehabilitation with Dynamic and Random Difficulty Adjustments

  • Raúl Daniel García-Ramón,
  • Ericka Janet Rechy-Ramirez,
  • Luz María Alonso-Valerdi and
  • Antonio Marin-Hernandez

20 September 2024

Background: Traditional physical rehabilitation involves participants performing repetitive body movements with the assistance of physiotherapists. Owing to the exercises’ monotonous nature and lack of reward, participants may become disinteres...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
392 Views
25 Pages

A Dynamic Difficulty Adjustment Mechanism Based on Cellular Automata Using Cardiac Signals for Serious Games

  • Manuel Arturo Melo Legarda,
  • Juliana Chantre Astudillo,
  • José Luis Arciniegas Herrera and
  • Carlos Hernan Tobar Arteaga

27 August 2026

Dynamic difficulty adjustment in Serious Games remains challenging because most adaptive approaches respond primarily to performance variables and insufficiently incorporate the player’s psychophysiological state in real time. Prior studies hav...

(This article belongs to the Special Issue Applications of Artificial Intelligence and Machine Learning in Games: 2nd Edition)
  • Article
  • Open Access
28 Citations
4,038 Views
25 Pages

Under the influence of economic globalization, the internationalization trend of energy security issues has become increasingly prominent. This paper adopts the natural discontinuity grading method to classify the energy security status of 102 countr...

(This article belongs to the Special Issue Low-Carbon Development and Carbon Reduction)
  • Article
  • Open Access
662 Views
28 Pages

16 January 2026

Wood flooring manufacturers face complex challenges in dynamically allocating resources across multi-channel markets, characterized by channel conflicts, demand uncertainty, and long-term cumulative effects of decisions. Traditional static optimizati...

(This article belongs to the Section Analysis of Algorithms and Complexity Theory)
  • Article
  • Open Access
5 Citations
2,372 Views
29 Pages

12 December 2024

Mixed zero-sum games consider both zero-sum and non-zero-sum differential game problems simultaneously. In this paper, multiplayer mixed zero-sum games (MZSGs) are studied by the means of an integral reinforcement learning (IRL) algorithm under the d...

  • Article
  • Open Access
904 Views
32 Pages

2 March 2026

Spacecraft pursuit–evasion in contested environments is complicated by strategic incompleteness: the evader can switch maneuvering modes and deploy multi-domain countermeasures that degrade the pursuer’s perception, leading to non-station...

(This article belongs to the Special Issue Multi-Spacecraft Coordination and Intelligent Aircraft Autonomous Control)
  • Article
  • Open Access
21 Citations
12,717 Views
20 Pages

Coordination Games on Dynamical Networks

  • Marco Tomassini and
  • Enea Pestelacci

29 July 2010

We propose a model in which agents of a population interacting according to a network of contacts play games of coordination with each other and can also dynamically break and redirect links to neighbors if they are unsatisfied. As a result, there is...

(This article belongs to the Special Issue Social Networks and Network Formation)
  • Article
  • Open Access
2 Citations
7,082 Views
30 Pages

Selection-Mutation Dynamics of Signaling Games

  • Josef Hofbauer and
  • Simon M. Huttegger

9 January 2015

We study the structure of the rest points of signaling games and their dynamic behavior under selection-mutation dynamics by taking the case of three signals as our canonical example. Many rest points of the replicator dynamics of signaling games are...

  • Article
  • Open Access
5 Citations
2,385 Views
15 Pages

13 November 2022

The multicriteria approach deals with real-life applications of game theory. However, the existing game-theoretic statements with the joint analysis of resource extraction and pollution dynamics have not considered the multiple objectives of the play...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
495 Views
26 Pages

17 May 2026

The Colonel Blotto game is a classical model of competitive resource allocation, but equilibrium computation becomes difficult in heterogeneous and asymmetric instances. In this research, we study a finite-horizon dynamic reformulation in which playe...

  • Article
  • Open Access
1 Citations
957 Views
15 Pages

5 March 2025

The Bertrand game is one of the basic game models in modern microeconomics. In some behavior experiments with game theory, it was shown that agents have different bounded rationality levels. In order to check the effect of bounded rationality levels...

(This article belongs to the Special Issue Mathematical Methods in the Applied Sciences, 2nd Edition)
  • Article
  • Open Access
15 Citations
3,813 Views
18 Pages

24 November 2021

We formalize the adversarial process between defender and attackers as a game and study the non-cooperative evolutionary game mechanism under bounded rationality. We analyze the long-term dynamic process between the attacking and defending parties us...

  • Article
  • Open Access
13 Citations
3,264 Views
16 Pages

22 July 2021

Based on a tripartite game model among suppliers of public goods, consumers, and the government, a tripartite repeated game model is constructed to analyze the evolution mechanism of which suppliers supply at low prices, consumers purchase, and the g...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
10 Citations
16,442 Views
17 Pages

19 November 2017

This study proposes a mathematical model of dynamic pricing for soccer game tickets. The logic behind the dynamic ticket pricing model is price change based on multipliers which reflect the effects of time and inventory. Functions are formed for the...

  • Article
  • Open Access
8 Citations
2,882 Views
20 Pages

2 November 2022

This paper presents a new scheme for the online solution of a networked multi-agent pursuit–evasion game based on an online adaptive dynamic programming method. As a multi-agent in the game can form an Internet of Things (IoT) system, by incorp...

(This article belongs to the Special Issue IoT Applications for Renewable Energy Management and Control)
  • Article
  • Open Access
12 Citations
6,184 Views
29 Pages

19 November 2023

This study aims to explore and discuss the role of systems thinking and system dynamics-assisted games in enhancing critical thinking skills in learners. In more detail, the study relies on the use of a system dynamics-based interactive learning envi...

(This article belongs to the Special Issue The Systems Thinking Approach to Strategic Management)
  • Review
  • Open Access
30 Citations
12,104 Views
19 Pages

27 September 2021

Classical evolutionary game theory allows one to analyze the population dynamics of interacting individuals playing different strategies (broadly defined) in a population. To expand the scope of this framework to allow us to examine the evolution of...

(This article belongs to the Section Applied Game Theory)
  • Article
  • Open Access
3 Citations
1,873 Views
14 Pages

A Dynamic Game Model for Emergency Resource Managers and Compound Disasters Induced by Heavy Rainstorms

  • Yi Wu,
  • Xuezhi Tan,
  • Haoyuan Mo,
  • Xudong Li and ,
  • Yin Zhang,
  • Fang Yang,
  • Lixiang Song,
  • Yong He and
  • Xiaohong Chen
  • + 4 authors+ 0 author

17 October 2024

Under the impact of global climate change and human activities, the occurrence of compound disasters such as cascading landslides and flash floods caused by heavy rainfall is increasing. In response to these compound disaster events, it is important...

(This article belongs to the Section Water Resources Management, Policy and Governance)
  • Article
  • Open Access
3 Citations
8,040 Views
16 Pages

Game Theoretical Model of Cancer Dynamics with Four Cell Phenotypes

  • Elena Hurlbut,
  • Ethan Ortega,
  • Igor V. Erovenko and
  • Jonathan T. Rowell

2 September 2018

The development of a cancerous tumor requires affected cells to collectively display an assortment of characteristic behaviors that contribute differently to its growth. A heterogeneous population of tumor cells is far more resistant to treatment tha...

(This article belongs to the Special Issue Mathematical Biology and Game Theory)
  • Article
  • Open Access
1 Citations
883 Views
16 Pages

9 January 2026

Standard epidemiological models often treat human behavior as static, failing to capture the dynamic feedback loops that shape epidemic waves. To address this, we developed a compartmental model of COVID-19 that couples the disease dynamics with two...

  • Article
  • Open Access
3 Citations
2,424 Views
17 Pages

24 September 2023

With the development of sharing economy, a joint distribution mode has been increasingly adopted as the preferred cooperation mode of third-party logistics enterprises to achieve the efficient, resource-saving, and profit-optimal business goals of en...

(This article belongs to the Section C2: Dynamical Systems)
  • Article
  • Open Access
14 Citations
3,580 Views
18 Pages

The paper studies a novel method for real-time solutions of the two-player pursuit-evasion game. The min-max principle is adopted to confirm the Nash equilibrium of the game. As agents in the game can form an Internet of Things (IoT) system, the real...

(This article belongs to the Special Issue IoT Applications for Renewable Energy Management and Control)
  • Article
  • Open Access
14 Citations
5,741 Views
16 Pages

21 November 2018

With the rapid development of the Internet of Things, there are a series of security problems faced by the IoT devices. As the IoT devices are generally devices with limited resources, how to effectively allocate the restricted resources facing the s...

(This article belongs to the Special Issue Threat Identification and Defence for Internet-of-Things)
  • Article
  • Open Access
1 Citations
1,297 Views
32 Pages

15 October 2025

The decision-making regarding the development of intelligent construction in construction enterprises is crucial for the transformation and upgrading of the construction industry. This paper constructs an evolutionary game model among construction en...

(This article belongs to the Special Issue Urban Planning and Construction Management Under Smart City Development)
  • Article
  • Open Access
76 Citations
10,846 Views
18 Pages

6 May 2013

William D. Hamilton famously stated that “human life is a many person game and not just a disjoined collection of two person games”. However, most of the theoretical results in evolutionary game theory have been developed for two player games. In spi...

(This article belongs to the Special Issue Advances in Evolutionary Game Theory and Applications)
  • Article
  • Open Access
3,754 Views
18 Pages

On Isaac’s War Game of Attrition and Attack Using Dynamic Programming Approach

  • Benghebrid Safa,
  • Bouremani Touffik and
  • Benterki Djamel

24 October 2024

In this study, we use the dynamic programming method introduced by Mirică (2004) to solve the well-known war game of attrition and attack as formulated by Isaacs (1965). By using this modern approach, we extend the classical framework to explore...

  • Article
  • Open Access
41 Citations
7,324 Views
26 Pages

Radar and Jammer Intelligent Game under Jamming Power Dynamic Allocation

  • Jie Geng,
  • Bo Jiu,
  • Kang Li,
  • Yu Zhao and ,
  • Hongwei Liu and
  • Hailin Li
  • + 1 author+ 0 author

18 January 2023

In modern electronic warfare, the intelligence of the jammer greatly worsens the anti-jamming performance of traditional passive suppression methods. How to actively design anti-jamming strategies to deal with intelligent jammers is crucial to the ra...

(This article belongs to the Special Issue Advanced Array Signal Processing for Target Imaging and Detection)
  • Article
  • Open Access
4 Citations
10,411 Views
25 Pages

30 June 2024

This literature review focuses on cultural-related studies and game theory. First of all, it analyzes how social dynamics and strategic interactions can be shaped by different cultural environments. Secondly, it examines how cultural norms can affect...

  • Article
  • Open Access
864 Views
14 Pages

18 May 2026

This paper investigates the evolution of public cooperation within a four-strategy public goods game that incorporates both consistently and inconsistently moralistic exclusion mechanisms. Using replicator dynamics in an infinite well-mixed populatio...

(This article belongs to the Section Learning and Evolution in Games)
  • Article
  • Open Access
12 Citations
3,214 Views
34 Pages

12 June 2023

The use of blockchain technology can ensure that data remains untampered with once it is on the chain. However, it doesn’t guarantee the authenticity of data before it enters the chain. In this study, we developed a three-party dynamic evolutio...

  • Article
  • Open Access
4 Citations
744 Views
32 Pages

13 June 2026

Information infrastructure is essential for digital transformation and AI-enabled services, but its operation also involves high electricity consumption and carbon emissions. This study develops a tripartite evolutionary game model involving the gove...

(This article belongs to the Special Issue Systems Thinking for Real-World Problem Solving)
  • Article
  • Open Access
1 Citations
558 Views
19 Pages

24 May 2026

Modeling and controlling multilayer complex network dynamics is challenging under coexisting crosslayer interactions, higher-order couplings, and decentralized strategic decisions. Most existing schemes focus on graph-based pairwise structures and ov...

(This article belongs to the Special Issue Dynamic Analysis and Decision-Making in Complex Networks, 2nd Edition)
  • Article
  • Open Access
11 Citations
2,940 Views
34 Pages

19 August 2021

This paper studies a discrete-time dynamic duopoly game with homogenous goods. Both firms have to decide on investment where investment increases production capacity so that they are able to put a larger quantity on the market. The downside, however,...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
4 Citations
4,234 Views
16 Pages

6 October 2024

Weapon target assignment is a critical challenge in military contexts. Traditionally, commanding officers manually decide weapon assignments, but the problem’s complexity has grown over time. To address this, automated systems have been introdu...

(This article belongs to the Section Applied Game Theory)
  • Article
  • Open Access
1 Citations
2,426 Views
17 Pages

11 July 2022

This paper proposes a possible mechanism for obtaining sizeable behavioral structures by simulating a network–agent dynamic on an evolutionary public good game with available social .learning. The model considers a population with a fixed numbe...

(This article belongs to the Special Issue Numerical Simulation of Nonlinear Dynamical Systems)
  • Article
  • Open Access
6 Citations
954 Views
33 Pages

17 December 2025

Efficient resource allocation is a central challenge in multi-tenant cloud, fog, and edge environments, where heterogeneous tenants compete for shared resources under dynamic and uncertain workloads. Static or purely heuristic methods often fail to c...

  • Article
  • Open Access
1 Citations
1,557 Views
45 Pages

Game-Theoretic Power Control Modeling for Interference Management in 5G Networks—A System Dynamics Approach

  • Nthambeleni Reginald Netshikweta,
  • Mbuyu Sumbwanyambe and
  • Thanyani Pandelani

20 November 2025

In densely populated areas, resource management is a challenge when mobile users in a session increase. The result of this is high inter-cell interference. Since interference is a function of power, we develop power control models aimed at addressing...

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