This textbook presents the basics of game theory both on an undergraduate level and on a
more advanced mathematical level. It is the second, revised version of the successful 2008 …

No part of the material protected by this copyright notice may be reproduced or utilized in
any form or by any means, electronic or mechanical, including photocopying, recording or by …

Finding an equilibrium of an extensive form game of imperfect information is a fundamental
problem in computational game theory, but current techniques do not scale to large games …

For dynamic games we consider the idea that a player, at every stage of the game, will
always believe that his opponents will choose rationally in the future. This is the basis for the …

This book has grown out of a decade and a half of joint research that resulted in the articles
underlying it (Alós-Ferrer and Ritzberger 2005a, b, Alós-Ferrer and Ritzberger 2008, Alós …

This textbook introduces some concepts of the theory of games: rationality, dominance,
rationalizability, and several notions of equilibrium (Nash, randomized, correlated, self …

The standard extensive-form partitional representation of information in sequential games
fails to distinguish the description of the rules of interaction from the description of players' …

Finding an equilibrium of an extensive form game of imperfect information is a fundamental
problem in computational game theory, but current techniques do not scale to large games …

In this paper we want to shed some light on what we mean by backward induction and
forward induction reasoning in dynamic games. To that purpose, we take the concepts of …

Context. Real-time games like Dota 2 lack the extensive mathematical modeling of turn-
based games that can be used to make objective statements about how to best play them …