Games and Decision Making by Charalambos D. AliprantisGames and Decision Making by Charalambos D. Aliprantis

Games and Decision Making

byCharalambos D. Aliprantis, Subir K. Chakrabarti

Hardcover | December 21, 2010

Pricing and Purchase Info


Earn 840 plum® points

Prices and offers may vary in store


Ships within 1-3 weeks

Ships free on orders over $25

Not available in stores


Games and Decision Making, Second Edition, is a unique blend of decision theory and game theory. From classical optimization to modern game theory, authors Charalambos D. Aliprantis and Subir K. Chakrabarti show the importance of mathematical knowledge in understanding and analyzing issues indecision making. Through an imaginative selection of topics, Aliprantis and Chakrabarti treat decision and game theory as part of one body of knowledge. They move from problems involving the individual decision-maker to progressively more complex problems such as sequential rationality, auctions,and bargaining. By building each chapter on material presented earlier, the authors offer a self-contained and comprehensive treatment of these topics. Successfully class-tested in an advanced undergraduate course at the Krannert School of Management and in a graduate course in economics at Indiana University, Games and Decision Making, Second Edition, is an essential text for advanced undergraduates and graduate students of decision theory andgame theory. The book is accessible to students who have a good basic understanding of elementary calculus and probability theory.
The late Charalambos D. Aliprantis was distinguished Professor at the Krannert School of Management at Purdue University. During a career that spanned almost forty years, he published more than one hundred articles in the major journals in economic theory and mathematics and authored half a dozen books on economic theory and mathematic...
Title:Games and Decision MakingFormat:HardcoverDimensions:480 pages, 7.72 × 9.41 × 1.1 inPublished:December 21, 2010Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019530022X

ISBN - 13:9780195300222


Table of Contents

Preface1. Choices1.1. Functions1.2. The optimization problem1.3. First- and second-order conditions1.4. Optimizing using the Lagrange method1.5. Uncertainty and chance1.6. Decision making under uncertainty2. Decisions and Games2.1. Two-person matrix games2.2. Strategic games2.3. Dominant and dominated strategies2.4. Solving matrix games with mixed strategies2.5. Examples of two-person games2.6. Best responses and Nash equilibria2.7. Games with incomplete information2.8. Applications3. Sequential Decisions3.1. Graphs and trees3.2. Single-person sequential decisions3.3. Uncertainty and single-person decisions4. Sequential Games4.1. The structure of sequential games4.2. Equilibria in sequential games4.3. Applications of sequential games4.4. Solving sequential games with behavior strategies5. Auctions5.1. Auctions with complete information5.2. English auctions5.3. Individual private-value auctions5.4. Common-value auctions5.5. Revenue equivalence6. Bargaining6.1. The Nash solution6.2. Monotonicity in bargaining6.3. The core of a bargaining game6.4. An allocation rule: the Shapley value6.5. Two-person sequential bargaining7. Repeated Games7.1. The structure and equilibria of repeated games7.2. Subgame perfection in finite-horizon repeated games7.3. Infinite-horizon repeated games7.4. The Folk theorem and subgame perfect equilibrium7.5. Applications of repeated and sequential games8. Sequential Rationality8.1. The market for lemons8.2. Beliefs and strategies8.3. Consistency of beliefs8.4. Expected payoff8.5. Sequential equilibrium8.6. Perfect Bayesian equilibrium8.7. Signaling games8.8. Applications9. Existence of Equilibria9.1. Some Mathematical Preliminaries9.2. Zero-sum games9.3. Existence of equilibrium in strategic form games9.4. Existence of equilibrium in sequential games9.5. Existence of sequential equilibriumBibliography