Skip to main content

Dynamic Games and Applications OnlineFirst articles


Q-Learning in Regularized Mean-field Games

In this paper, we introduce a regularized mean-field game and study learning of this game under an infinite-horizon discounted reward function. Regularization is introduced by adding a strongly concave regularization function to the one-stage …

verfasst von:
Berkay Anahtarci, Can Deha Kariksiz, Naci Saldi


Generalized Differential Games

An important generalization of a Nash equilibrium is the case when the players must choose strategies which depend on the other players. The case in zero-sum differential games with players y and z when there is a constraint of the form $$g(y,z) …

verfasst von:
E. N. Barron, K. T. Nguyen


Reinforcement Learning for Non-stationary Discrete-Time Linear–Quadratic Mean-Field Games in Multiple Populations

Scalability of reinforcement learning algorithms to multi-agent systems is a significant bottleneck to their practical use. In this paper, we approach multi-agent reinforcement learning from a mean-field game perspective, where the number of …

verfasst von:
Muhammad Aneeq uz Zaman, Erik Miehling, Tamer Başar

Open Access 06.05.2022

The Effects of Defensive Medicine in Physician–Patient Dynamics: An Agent-Based Approach

We analyze different scenarios of defensive medicine in a novel framework based on game theory and network analysis, where links in the network represent healing relationships between a physician and a patient. The physician should choose between …

verfasst von:
Danilo Delpini, Paolo Russu


Evolutionary Game Dynamics in a Finite Continental Island Population Model and Emergence of Cooperation

We consider the continental island model for a finite haploid population with a total number of $${\textit{n}}$$ n demes consisting of one continent and $$n-1$$ n - 1 islands. We assume viability differences in the population captured by a linear …

verfasst von:
Véronique Ladret


Investment in Cleaner Technologies in a Transboundary Pollution Dynamic Game: A Numerical Investigation

Within a noncooperative transboundary pollution dynamic game, we study the strategic impact of a region’s investment in the adoption of a cleaner technology, as embodied by a reduction in the emission per output ratio, on the equilibrium outcomes …

verfasst von:
Javier de Frutos, Víctor Gatón, Paula M. López-Pérez, Guiomar Martín-Herrán


Ex-Ante Welfare Superiority of the Boston Mechanism Over the Deferred Acceptance Mechanism

We compare two widely used allocation methods for assigning students to schools—the deferred acceptance (DA) mechanism and the Boston mechanism—in terms of students’ welfare under a symmetric incomplete information setting in which each student’s …

verfasst von:
Ethem Akyol

Open Access 22.04.2022

Chasing a Drunk Robber in Many Classes of Graphs

A cops and robbers game (CR) on graphs was originated in 1983 by Quilliot and by Nowakowski and Winkler independently. This game has been applied in many problems in the area of theoretical computer science such as information seeking, robot …

verfasst von:
Nuttanon Songsuwan, Dawud Thongtha, Pawaton Kaemawichanurat


Gossip: Perspective Taking to Establish Cooperation

Problems of cooperation are frequent among living organisms, but they are difficult to solve. Humans have been able to produce large-scale cooperation among unrelated individuals through reputation systems. A challenging puzzle, however, is how …

verfasst von:
Simone Righi, Károly Takács

Open Access 31.03.2022

Coordinated Replenishment Game and Learning Under Time Dependency and Uncertainty of the Parameters

This research proposes a periodic review multi-item two-layer inventory model. The main contribution is a novel approach to determine the can-order threshold in a two-layer model under time-dependent and uncertain demand and setup costs. The first …

verfasst von:
Stefanny Ramirez, Laurence H. van Brandenburg, Dario Bauso

Open Access 22.03.2022 | Correction

Correction to: Efficiency and Stability in a Process of Teams Formation

In the original publication of the article, the affiliation details for the co-author “Paolo Pin” were incorrectly published. This has been corrected with this erratum.

verfasst von:
Leonardo Boncinelli, Alessio Muscillo, Paolo Pin

Open Access 19.03.2022

An Oligopoly-Fringe Model with HARA Preferences

Inspired by empirical evidence from the oil market, we build a model of an oligopoly facing a fringe as well as competition from renewable resources. We explore different subclasses of HARA utility functions (Cobb–Douglas, power and quadratic …

verfasst von:
Gerard van der Meijden, Cees Withagen, Hassan Benchekroun

Open Access 05.03.2022

Efficiency and Stability in a Process of Teams Formation

Motivated by data on co-authorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different notions of …

verfasst von:
Leonardo Boncinelli, Alessio Muscillo, Paolo Pin

Open Access 05.03.2022

Coalition Formation Under Dominance Invariance

An abstract game satisfies Dominance Invariance if the indirect and the direct dominance relations, or myopic and farsighted dominance, are equivalent. Mauleon et al. (Int J Game Theory 43(4):925–943, 2014) study Dominance Invariance as an …

verfasst von:
Mert Kimya


Cooperation in Dynamic Games with Asymmetric Players: The Role of Social Preferences

I study a two-player repeated game where payoffs are asymmetric. Attempts to form cooperative agreements in such an environment, for example by pro-rating actions relative to the one-shot Nash equilibrium, have generally struggled in practice. I …

verfasst von:
Charles F. Mason


Dynamic Game of International Pollution Control with General Oligopolistic Equilibrium: Neary Meets Dockner and Long

This study develops a two-country differential game model of transboundary pollution control with a continuum of polluting and oligopolistic industries. Governments choose the paths of their pollution permits, the market-clearing prices of which …

verfasst von:
Akihiko Yanase, Keita Kamei

Open Access 21.02.2022

Groundwater Exploitation and Illegal Behaviors in a Differential Game

This paper studies groundwater management through a leader–follower differential game between a water agency and farmers. The access to the common pool is not free and farmers have to pay a water tax to withdraw. To save this cost, we assume that …

verfasst von:
Marta Biancardi, Gianluca Iannucci, Giovanni Villani


Impact of Utilities on the Structures of Stable Networks with Ordered Group Partitioning

This paper considers a society partitioned into ordered groups and examines the stable networks that players form. Four utility functions combining benefits and costs from network connections are introduced. The utilities significantly influence …

verfasst von:
Ping Sun, Elena Parilina


Dynamic Games Among Teams with Delayed Intra-Team Information Sharing

We analyze a class of stochastic dynamic games among teams with asymmetric information, where members of a team share their observations internally with a delay of d. Each team is associated with a controlled Markov Chain, whose dynamics are …

verfasst von:
Dengwang Tang, Hamidreza Tavafoghi, Vijay Subramanian, Ashutosh Nayyar, Demosthenis Teneketzis

Open Access 10.02.2022

Where Do Mistakes Lead? A Survey of Games with Incompetent Players

Mathematical models often aim to describe a complicated mechanism in a cohesive and simple manner. However, reaching perfect balance between being simple enough or overly simplistic is a challenging task. Frequently, game-theoretic models have an …

verfasst von:
Thomas Graham, Maria Kleshnina, Jerzy A. Filar