Mathematics : Game Theory

In 1984, Robert Axelrod published a book, relating the story of two competitions which he ran, where invited academics entered strategies for the Iterated Prisoners’ Dilemma. The book, almost 20 years on, is still widely read and cited by academics and the general public. As a celebration of that landmark work, we have recreated those competitions to celebrate its 20th anniversary, by again inviting academics to submit prisoners’ dilemma strategies. The first of these new competitions was run in July 2004, and the second in April 2005. Iterated Prisoners’ Dilemma: 20 Years On essentially provides an update of the Axelrod’s book. Specifically, it. • Presents the prisoners’ dilemma, its history and variants. • Highlights original Axelrod's work and its impact. • Discusses results of new competitions. • Showcases selected papers that reflect the latest researches in the area. more...

Price: $120.00

Different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. This book contains contributions from prominent scholars from these disciplines. more...

Price: $129.00

Cooperation is beneficial but may be hard to achieve in situations where the selfish interests of individuals conflict with their common goal, such as in sharing of goods, help, knowledge or information, in trade and pollution negotiations, and in exploitation of common resources. The standard models of such "social dilemmas" assume that the individuals are obliged to participate in the dilemma. These models fail to capture an important element of human interaction: that people are in general free to select their interaction partners. In this book a social dilemma with partner selection is introduced and studied with the methods of formal game theory, experimental economics and computer simulations. It allows exploration of simultaneous dynamics of the network structure and cooperative behavior on this structure. The results of this study show that partner choice strongly facilitates cooperation and leads to networks where free-riders are likely to be excluded. more...

Price: $84.95

The central theme here is a model of prediction using expert advice, a general framework within which many related problems can be cast and discussed, including repeated game playing, adaptive data compression, sequential investment in the stock market, and sequential pattern analysis. more...

Price: $56.00

The effectiveness of attacks on time critical targets (suppression of enemy air defenses, interdiction, and anti-theater ballistic missile missions) often depends on decisions made by the adversary. Game theory is a way to study likely changes in enemy behavior resulting from various attack capabilities and goals. more...

Price: $15.00