Mathematics : Game Theory

This is the first book to collect research on game-theoretic tools in the analysis of language with particular reference to semantics and pragmatics. Games are significant, because they pertain equally to pragmatics and semantics of natural language. The book provides an overview of the variety of ways in which game theory is used in the analysis of linguistic meaning and shows how games arise in pragmatic as well as semantic investigations. The book is a balanced combination of philosophical, linguistic, logical and mathematical argumentation. The book has an introductory and a concluding chapter, written by the editor, to give a gentle introduction to the topics covered in the book and to provide wider conclusions and prospects arising from the individual essays. The major topics covering the field of game theory and linguistic meaning included in the book are:. • language games, Wittgenstein. • evolutionary language games. • communication games, Grice. • games of partial information. • equilibrium semantics. • game-theoretic semantics. • logical modelling, generalised quantifiers. • the semantics/pragmatics distinction more...

Price: $120.00

The author focuses exclusively on abstract existence results, rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates several results concerning efficiency properties such as Pareto maximality and fairness properties such as envy-freeness for partitions. more...

Price: $81.00

In The Grammar of Society, Cristina Bicchieri examines social norms, such as fairness, cooperation, and reciprocity, in an effort to understand their nature and dynamics, the expectations that they generate, and how they evolve and change. Bicchieri draws on intellectual traditions of social psychology, experimental economics and evolutionary game theory. more...

Price: $23.00

This first volume (of three) examines the methodological origins of game theory up to the Second World War. It adds to the understanding of game theory's contentious roots and offers insights into modern applications of the theory. more...

Price: $190.00

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