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.
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
Models and Games INTRODUCTION TO MODELING INTRODUCTION TO GAME THEORY EXAMPLES OF GAMES RATIONALITY ASSUMPTION Player Preferences ORDINAL UTILITIES VON NEUMANNMORGENSTERN UTILITIES CONSTRUCTING UTILITIES DETERMINING RISK Simultaneous Play STRATEGIC GAMES FINAL JEOPARDY MIXED STRATEGIES NONMATRIX MODELS LIMITATIONS Bilateral Agreements NEGOTIATIONS BARGAINING IN STRATEGIC GAMES FAIRNESS PROPERTIES Sequential Play SEQUENTIAL GAMES SUBGAME PERFECT EQUILIBRIA COMBINATORIAL GAMES MORAL HAZARD Missing Information IMPERFECT INFORMATION ROMANS AND GERMANS INCOMPLETE INFORMATION BARGAINING GAMES WITH PRIVATE INFORMATION INTERNATIONAL COLLABORATION AUCTIONS Repetitious Play REPEATED SOCIAL DILEMMAS MODELING NOISE EVOLUTIONARY GAME THEORY Multilateral Agreements SHAPLEY ARGUMENT NUCLEOLUS ARGUMENT BARGAINING ARGUMENT VOTING POWER Resource Allocation RESOURCE ALLOCATION PROBLEM BARGAINING AND COALITION MODELS COMPLETE AND INCOMPLETE INFORMATION MODELS CONCLUDING REMARKS
Richard Alan Gillman is a mathematics professor at Valparaiso University. David Housman teaches courses in applied mathematics and computer science at Goshen College.