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This book is an exploration of differential and algorithmic intelligent game theory, offering a comprehensive look at its methods and applications across diverse fields. As the first installment in a pioneering series, it underscores the expanding influence of game theory in the physical, biological, social, and computational sciences, as well as engineering and technology. Readers will delve into dynamic strategic interactions, exploring continuous, discrete, and quantum strategies. The volume addresses computational challenges in finding equilibria and presents efficient algorithms for computing Nash equilibria. It also highlights the role of game theory in artificial intelligence, examining its use in AI-assisted behavioral and evolutionary game theory, multi-agent systems, and adversary training in generative adversarial networks. This book is essential for researchers, graduate students, and professionals in mathematics, computer science, and economics who are interested in applying game theory to analyze and design strategic systems. Offering a unique interdisciplinary perspective, combining differential game theory's continuous decision-making with algorithmic methodologies, this volume sets the stage for future installments, providing real-world case studies and applications that illustrate the practical use of game theory in dynamic, complex environments
List of contents
Compendium of Advances in Game Theory: Classical, Differential, Algorithmic, Non-Archimedean and Quantum Games.- Information-Delay-Induced Hopf Bifurcations in Evolutionary Game Dynamics.- Price Formation in Financial Markets: a Mean-Field Game Perspective.- An Introduction to Monotonicity Methods in Mean-Field Games.- Simplifying Game Positions of the Green Hackenbush Combinatorial Game.
About the author
Edgard completed his PhD in Mathematics at the Instituto Superior Técnico of the Universidade de Lisboa (Portugal, 2013) under the direction of Diogo Gomes. After the completion of his doctoral work, he held post-doctoral positions at CAMGSD-IST-UL (Lisbon), IMPA (Rio de Janeiro) and ICMC-USP (São Carlos). In 2016, Prof. Pimentel obtained his Habilitation (Livre-Docência) at USP (ICMC). Pimentel was selected as a Jovem Cientista do Estado do Rio de Janeiro (2018) and is a former grantee of Instituto Serrapilheira. A former Junior Associate Fellow of the International Centre for Theoretical Physics (ICTP, Trieste), Prof. Edgard was ellected an Affiliate Member of the Brazilian Academy of Sciences (ABC) in 2019. In 2024, Edgard was selected to join the Seminário de Jovens Cientistas of the Lisbon Academy of Sciences. With previous professorial positions in Sãoo Paulo and Rio de Janeiro, Edgard is currently an Associate Professor with Habilitation (Agregação) in the Department of Mathematics at the University of Coimbra and a researcher at the Centre for Mathematics at the same University (CMUC).
Bourama Toni is a Full Professor of Mathematics and Chair of the Department of Mathematics at Howard University, Washington, DC, USA. Dr. Toni is the Founder and Editor of the Springer-published STEAM-H series, with truly an interdisciplinary profile. His research interests are primarily in Differential and Nonlinear Analysis and related topics to include Dynamical Systems, Non-Archimedean Analysis, Game Theory, Feedback Loops Analysis, and their applications to biosciences, behavioral sciences and naval engineering, with an excellent track-record of quality published research papers including contributed volumes with Springer.
