Models of Conflict and Cooperation is a comprehensive, introductory, game theory text for general undergraduate students.
As a textbook, it provides a new and distinctive experience for students working to become quantitatively literate.Each chapter begins with a ‘dialogue’ that models quantitative discourse while previewing the topics presented in the rest of the chapter. Subsequent sections develop the key ideas starting with basic models and ending with deep concepts and results. Throughout all of the sections, attention is given to promoting student engagement with the material through relevant models, recommended activities, and exercises. The general game models that are discussed include deterministic, strategic, sequential, bargaining, coalition, and fair division games. A separate, essential chapter discusses player preferences.
All of the chapters are designed to strengthen the fundamental mathematical skills of quantitative literacy: logical reasoning, basic algebra and probability skills, geometric reasoning, and problem solving. A distinctive feature of this book is its emphasis on the process of mathematical modeling.
Rick Gillman, Valparaiso University, IN, and David Housman, Goshen College, IN
Deterministic Games A Very Simple Game Rules of the Game Heuristics and Strategies Game Trees A Solution for Nim Theorems of Zermelo and Nash Player Preferences Measurement Ordinal Preferences Cardinal Preferences Ratio Scale Preferences Strategic Games Tosca Fingers and Matches Four Solution Concepts Once Again, Game Trees Trees and Matrices Probabilistic Strategies It’s Child’s Play Mixed Strategy Solutions Finding Solutions in 2 × 2 Games Nash Equilibria in m × 2 Games Zero-Sum Games Strategic Game Cooperation Experiments The Prisoners’ Dilemma Resolving the Prisoners’ Dilemma Negotiation and Arbitration A Simple Negotiation Bargaining Games The Egalitarian Method The Raiffa Method The Nash Method Coalition Games A Savings Allocation Problem Two Properties and Five Methods The Shapley Method The Nucleolus Method You Can’t Always Get What You Want Fair Division An Inheritance Problem Fair Division Games and Methods Fairness Properties Choosing a Fair Method Epilogue Answers to Selected Exercises Deterministic Games Player Preferences Strategic Games Probabilistic Strategies Strategic Game Cooperation Negotiation and Arbitration Coalition Games Fair Division Bibliography Index