Chance, Strategy, and Choice: An Introduction to the Mathematics of Games and Elections - Couverture rigide

Smith, Samuel Bruce

Couverture rigide

ISBN 10 : 1107084520 ISBN 13 : 9781107084520

Editeur : Cambridge University Press, 2015

Synopsis

Games and elections are fundamental activities in society with applications in economics, political science, and sociology. These topics offer familiar, current, and lively subjects for a course in mathematics. This classroom-tested textbook, primarily intended for a general education course in game theory at the freshman or sophomore level, provides an elementary treatment of games and elections. Starting with basics such as gambling, zero-sum and combinatorial games, Nash equilibria, social dilemmas, and fairness and impossibility theorems for elections, the text then goes further into the theory with accessible proofs of advanced topics such as the Sprague–Grundy theorem and Arrow's impossibility theorem. • Uses an integrative approach to probability, game, and social choice theory • Provides a gentle introduction to the logic of mathematical proof, thus equipping readers with the necessary tools for further mathematical studies • Contains numerous exercises and examples of varying levels of difficulty • Requires only a high school mathematical background.

A propos du livre

À propos de l'auteur

Samuel Bruce Smith is Professor and Chair of Mathematics at Saint Joseph's University and a past Director of the University Honors Program. In 2012, he won the Tengelmann Award for Distinguished Teaching and Research.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1107084520
• ISBN 13: 9781107084520
• Reliure: Relié
• Nombre de pages: 352
• Coordonnées du fabricant: Cambridge University Press; https://www.cambridge.org/; ; Via Honduras,15; Pomezia; Italia; 71; Italie