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Leon A. Petrosjan

    Recent Advances in Game Theory and Applications
    Cooperative Stochastic Differential Games
    ICM millennium lectures on games
    • Since the first Congress in Zürich in 1897, the ICM has been an eagerly awaited event every four years. Many of these occasions are celebrated for historie developments and seminal contributions to mathematics. 2002 marks the year of the 24th ICM, the first of the new millennium. Also historie is the first ICM Satellite Conference devoted to game theory and applications. It is one of those rare occasions, in which masters of the field are able to meet under congenial surroundings to talk and share their gathered wisdom. As is usually the case in ICM meetings, participants of the ICM Satellite Conference on Game Theory and Applications (Qingdao, August 2(02) hailed from the four corners of the world. In addition to presentations of high qual ity research, the program also included twelve invited plenary sessions with distinguished speakers. This volume, which gathers together selected papers read at the conference, is divided into four sections: (I) Foundations, Concepts, and Structure. (II) Equilibrium Properties. (III) Applications to the Natural and Social Sciences. (IV) Computational Aspects of Games.

      ICM millennium lectures on games
    • Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization. It responds to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems. For this new edition the book has been thoroughly updated throughout. There are new chapters on nonlinear interior methods and derivative-free methods for optimization, both of which are used widely in practice and the focus of much current research. Because of the emphasis on practical methods, as well as the extensive illustrations and exercises, the book is accessible to a wide audience. It can be used as a graduate text in engineering, operations research, mathematics, computer science, and business. It also serves as a handbook for researchers and practitioners in the field. The authors have strived to produce a text that is pleasant to read, informative, and rigorous - one that reveals both the beautiful nature of the discipline and its practical side. Inhaltsverzeichnis Deterministic and Stochastic Differential Games.- Cooperative Differential Games in Characteristic Function Form.- Two-person Cooperative Differential Games with Discounting.- Two-person Cooperative Stochastic Differential Games.- Multiplayer Cooperative Stochastic Differential Games.- Cooperative Stochastic Differential Games with Nontransferable Payoffs.

      Cooperative Stochastic Differential Games
    • Recent Advances in Game Theory and Applications

      European Meeting on Game Theory, Saint Petersburg, Russia, 2015, and Networking Games and Management, Petrozavodsk, Russia, 2015

      • 296pagine
      • 11 ore di lettura

      This volume features fourteen papers derived from presentations at the European Conference on Game Theory SING11-GTM 2015 and the Networking Games and Management workshop, both held in July 2015 in Russia. The papers explore a diverse array of game theory topics, highlighting recent advancements and classical results. Key contributions include a novel approach to journal ranking using social choice theory, a differential game analyzing duopoly competition in markets with network externalities, and the effects of information propagation in tax audit models. Additional topics cover a voting model where past results influence coalition formation, the Selten-Szidarovsky technique for Nash equilibrium analysis in aggregative games, generalized nucleoli and bargaining sets for restricted cooperation games, Bayesian networks in deterrence games, and fresh perspectives on solutions for games in partition function form. This collection showcases the vitality and innovation in contemporary game theory, featuring new ideas and applications from emerging researchers. It will appeal to those engaged in theoretical research or practical applications of game theory.

      Recent Advances in Game Theory and Applications