Game Theory: A Modeling Approach (Textbooks in Mathematics)

✍ Scribed by Richard Alan Gillman, David Housman

• Publisher: Chapman and Hall/CRC
• Year: 2019
• Tongue: English
• Leaves: 343
• Series: Textbooks in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

Game Theory: A Modeling Approach quickly moves readers through the fundamental ideas of the subject to enable them to engage in creative modeling projects based on game theoretic concepts.

The authors match conclusions to real-world scenarios and applications. The text engages students in active learning, group work, in-class discussions and interactive simulations.

Each chapter provides foundation pieces or adds more features to help readers build game theoretic models. The chapters include definitions, concepts and illustrative examples. The text will engage and challenge both undergraduate and graduate students.

Features:

• Enables readers to apply game theorty to real-world scenarios
• Chapters can be used for core course materials or independent stuides
• Exercises, included at the end of the chapters, follow the order of the sections in the text
• Select answers and solutions are found at the end of the book
• Solutions manual for instructors is available from the authors

✦ Table of Contents

Game Theory
Contents
Preface
Acknowledgments
1  Models and Games
1.1 Introduction To Modeling
1.2 Introduction To Game Theory
1.3 Examples Of Games
1.4 Rationality Assumption
Exercises
2  Player Preferences
2.1 Ordinal Utilities
2.2 Von Neumannmorgenstern Utilities
2.3 Constructing Utilities
2.4 Determining Risk
Exercises
3  Simultaneous Play
3.1 Strategic Games
3.2 Final Jeopardy
3.3 Mixed Strategies
3.4 Nonmatrix Models
3.5 Limitations
Exercises
4  Bilateral Agreements
4.1 Negotiations
4.2 Bargaining In Strategic Games
4.3 Fairness Properties
Exercises
5  Sequential Play
5.1 Sequential Games
5.2 Subgame Perfect Equilibria
5.3 Combinatorial Games
5.4 Moral Hazard
Exercises
6  Missing Information
6.1 Imperfect Information
6.2 Romans And Germans
6.3 Incomplete Information
6.4 Bargaining Games With Private Information
6.5 International Collaboration
6.6 Auctions
Exercises
7  Repetitious Play
7.1 Repeated Social Dilemmas
7.2 Modeling Noise
7.3 Evolutionary Game Theory
Exercises
8  Multilateral Agreements
8.1 Shapley Argument
8.2 Nucleolus Argument
8.3 Bargaining Argument
8.4 Voting Power
Exercises
9  Resource Allocation
9.1 Resource Allocation Problem
9.2 Bargaining And Coalition Models
9.3 Complete And Incomplete Information Models
9.4 Concluding Remarks
Appendix A  Selected Answers
Bibliography
Index
Exercises