商品描述
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
商品描述(中文翻譯)
本書探討了微分與演算法智能遊戲理論，全面介紹其方法及在各個領域的應用。作為一個開創性系列的第一部作品，它強調了遊戲理論在物理、生物、社會、計算科學以及工程和技術中的影響力不斷擴大。讀者將深入了解動態策略互動，探索連續、離散和量子策略。本書針對尋找均衡的計算挑戰，提出了計算納什均衡的高效演算法。它還突顯了遊戲理論在人工智慧中的角色，檢視其在AI輔助的行為與演化遊戲理論、多代理系統及生成對抗網路中的對抗訓練的應用。本書對於數學、計算機科學和經濟學的研究人員、研究生及專業人士來說，都是必不可少的資源，特別是對於那些有興趣將遊戲理論應用於分析和設計策略系統的人士。提供獨特的跨學科視角，結合微分遊戲理論的連續決策與演算法方法論，本卷為未來的作品奠定了基礎，並提供了真實世界的案例研究和應用，展示了遊戲理論在動態、複雜環境中的實際使用。
作者簡介
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.
作者簡介(中文翻譯)
Edgard 在葡萄牙里斯本的高等技術學院（Instituto Superior Técnico of the Universidade de Lisboa）完成了數學博士學位（2013年），指導教授為 Diogo Gomes。完成博士研究後，他在 CAMGSD-IST-UL（里斯本）、IMPA（里約熱內盧）和 ICMC-USP（聖卡洛斯）擔任博士後職位。2016年，Pimentel 在聖保羅大學（USP，ICMC）獲得了 Habilitation（Livre-Docência）。Pimentel 被選為里約熱內盧州的青年科學家（Jovem Cientista do Estado do Rio de Janeiro，2018年），並曾是 Instituto Serrapilheira 的獎學金得主。作為國際理論物理中心（ICTP，的里雅斯特）的前任初級研究員，Edgard 教授於2019年被選為巴西科學院（ABC）的附屬會員。2024年，Edgard 被選為里斯本科學院的青年科學家研討會（Seminário de Jovens Cientistas）成員。Edgard 曾在聖保羅和里約熱內盧擔任教授，目前是科英布拉大學數學系的副教授（具有 Habilitation，Agregação）及該大學數學中心（CMUC）的研究員。
Bourama Toni 是美國華盛頓特區霍華德大學數學系的全職教授及系主任。Toni 博士是 Springer 出版的 STEAM-H 系列的創始人和編輯，該系列具有真正的跨學科特徵。他的研究興趣主要集中在微分和非線性分析及相關主題，包括動態系統、非阿基米德分析、博弈論、反饋迴路分析，以及這些領域在生物科學、行為科學和海軍工程中的應用，並擁有優秀的高品質發表研究論文的記錄，包括與 Springer 合作的貢獻卷。
