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Noncooperative Game TheoryAn Introduction for Engineers and Computer Scientists$
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João P. Hespanha

Print publication date: 2017

Print ISBN-13: 9780691175218

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691175218.001.0001

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Dynamic Games

Dynamic Games

Chapter:
(p.171) Lecture 14 Dynamic Games
Source:
Noncooperative Game Theory
Author(s):

João P. Hespanha

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691175218.003.0014

This chapter discusses a new class of games known as dynamic games. It begins by considering a two-player multi-stage game in extensive form in which the overall tree structure can be mathematically described in a manner that actually allows for games that are more general than those typically described in extensive form. These include games described by graphs that are not trees, games with infinitely many stages, and games with action spaces that are not finite sets. The equation for solving dynamic games is often called the dynamics of the game. The chapter also examines the information structures of dynamic games and concludes with an overview of continuous time differential games and differential games with variable termination time.

Keywords:   dynamic game, multi-stage game, tree structure, information structure, continuous time differential, differential game, variable termination time

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