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Theory and Applications of Dynamic Games

A Course on Noncooperative and Cooperative Games Played over Event Trees

  • Textbook
  • © 2022


  • Provides a comprehensive overview of the theory of dynamic games played over event trees
  • Introduces readers to the main concepts of noncooperative and cooperative games
  • Highlights applications of dynamic games in environmental economics, management science, and engineering

Part of the book series: Theory and Decision Library C (TDLC, volume 51)

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Table of contents (8 chapters)

  1. Static Games

  2. Deterministic Dynamic Games

  3. Dynamic Games Played over Event Trees


About this book

This textbook provides a comprehensive overview of noncooperative and cooperative dynamic games involving uncertain parameter values, with the stochastic process being described by an event tree. Primarily intended for graduate students of economics, management science and engineering, the book is self-contained, as it defines and illustrates all relevant concepts originally introduced in static games before extending them to a dynamic framework. It subsequently addresses the sustainability of cooperative contracts over time and introduces a range of mechanisms to help avoid such agreements breaking down before reaching maturity. To illustrate the concepts discussed, the book provides various examples of how dynamic games played over event trees can be applied to environmental economics, management science, and engineering.


"This is an excellent textbook on an important sub-area of dynamic games, viz., dynamic games over event trees. With its clarity of exposition and wealth of information, it is bound to draw many young researchers to this fascinating area and have a lasting impact."

Vivek Borkar, Indian Institute of Technology Bombay, India

"An advanced textbook on dynamic games played on event trees is long overdue. This book, written by leading experts in the field, will be of great use to modellers of economic behaviour under uncertainty. No doubt it will soon become a classic."

Alain Haurie, University of Geneva, and GERAD/HEC Montréal

"This book by Parilina, Reddy, and Zaccour provides a well-organized treatment of dynamic games on event trees under cooperative as well as noncooperative modes of play, constituting possibly the first such comprehensive study of this topic in text-book form."

Tamer Başar, University of Illinois, USA

Authors and Affiliations

  • Department of Mathematical Game Theory and Statistical Decisions, Saint Petersburg State University, Saint Petersburg, Russia

    Elena Parilina

  • Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai, India

    Puduru Viswanadha Reddy

  • Department of Decision Sciences, HEC Montréal, Montreal, Canada

    Georges Zaccour

About the authors

Elena Parilina is a full professor at Saint Petersburg State University, Russia. She got a Ph.D in 2006, and Doctoral Degree in Mathematical and Physical Sciences in 2019 at St. Petersburg State University. Her research areas are dynamic games, stochastic games, cooperative games, operations research, and applied statistics. She published more than fifty papers. She coauthors several textbooks on probability theory and statistics. She is associate editor of Dynamic Games and Applications, and a member of the executive board of the International Society of Dynamic Games. She has been an invited professor and taught the course “Game Theory” at Qingdao University, China (School of Mathematics and Statistics), and Peking University, China (School of Mathematical Sciences).

Puduru Viswanadha Reddy received a Ph.D. degree in operations research from Tilburg University, Tilburg, The Netherlands, in 2011. He held a postdoctoral appointment at GERAD,HEC Montréal, Canada during 2012-2015. He is currently an Assistant Professor at the Department of Electrical Engineering, Indian Institute of Technology - Madras, Chennai, India. His research interests are in game theory and in the control of multiagent systems.  

Georges Zaccour holds the Chair in Game Theory and Management and is full professor of Management Science at HEC Montréal, Canada. He holds a Ph.D. in management science, an M.Sc. in international business from HEC Montréal and a licence in mathematics and economics from Université Paris-Dauphine, France. He served as director of GERAD, an interuniversity research center and director of the Ph.D. program at HEC Montréal. His research areas are dynamic games, optimal control and operations research, areas in which he has published more than two hundred papers and co-edited fifteen volumes. He co-authors the books Differential Games in Marketing and Games and Dynamic Games.He is editor-in-chief of Dynamic Games and Applications and fellow of The Royal Society of Canada. He was president of the International Society of Dynamic Games.

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