This is an introductory game theory book that quickly moves readers through the fundamental ideas of game theory to enable them to engage in creative modeling projects based on game theoretic concepts.

Richard Alan Gillman is a mathematics professor at Valparaiso University.

David Housman teaches courses in applied mathematics and computer science at Goshen College.

1. Models and Games

INTRODUCTION TO MODELING

INTRODUCTION TO GAME THEORY

EXAMPLES OF GAMES

RATIONALITY ASSUMPTION

2. Player Preferences

ORDINAL UTILITIES

VON NEUMANNMORGENSTERN

UTILITIES

CONSTRUCTING UTILITIES

DETERMINING RISK

3. Simultaneous Play

STRATEGIC GAMES

FINAL JEOPARDY

MIXED STRATEGIES

NONMATRIX

MODELS

LIMITATIONS

4. Bilateral Agreements

NEGOTIATIONS

BARGAINING IN STRATEGIC GAMES

FAIRNESS PROPERTIES

5. Sequential Play

SEQUENTIAL GAMES

SUBGAME PERFECT EQUILIBRIA

COMBINATORIAL GAMES

MORAL HAZARD

6. Missing Information

IMPERFECT INFORMATION

ROMANS AND GERMANS

INCOMPLETE INFORMATION

BARGAINING GAMES WITH PRIVATE INFORMATION

INTERNATIONAL COLLABORATION

AUCTIONS

7. Repetitious Play

REPEATED SOCIAL DILEMMAS

MODELING NOISE

EVOLUTIONARY GAME THEORY

8. Multilateral Agreements

SHAPLEY ARGUMENT

NUCLEOLUS ARGUMENT

BARGAINING ARGUMENT

VOTING POWER

9. Resource Allocation

RESOURCE ALLOCATION PROBLEM

BARGAINING AND COALITION MODELS

COMPLETE AND INCOMPLETE INFORMATION MODELS

CONCLUDING REMARKS