Mathematics : Game Theory

Game theory is a field of applied mathematics that describes and analyzes interactive decision situations. It consists of a set of analytical tools that predict the outcome of complex interactions among rational entities, where rationality demands a strict adherence to a strategy based on perceived or measured results. This lecture introduces wireless engineers to game theory. In recent years there has been a great deal of interest in applying game theory to problems in wireless communications and networking. Authors Allen Mackenzie and Luiz DaSilva provide students, researchers, and practitioners the tools they need to understand and participate in this work, provide guidance on the proper and improper uses of game theory, and examine future directions and applications of game theory. No familiarity with game theory is necessary; the authors introduce major game theoretic models and results and apply them to networking problems including medium access, routing, energy-efficient protocols, and others. more...

Price: $30.00

This book explains why the global community has been successful in correcting some recent large-scale problems, but has failed in addressing others. The analysis reaches from antibiotic-resistant microbes to greenhouse gases, from civil wars to international terrorism, and from the polluted atmospheres of cities to the depths of outer space. more...

Price: $22.00

Broad and diverse ranges of activities are conducted within and by organized groups of individuals, including political, economic and social activities. The purpose of this volume is to introduce the reader to game-theoretic treatments of group formation. more...

Price: $72.00

Presents the solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. This book culminates in uniform and coherent axiomatizations of all the foregoing solutions. more...

Price: $99.00

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