Peter Morris

Introduction to Game Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

This advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner's Dilemma (super games) and challenging game-playing computer programs.

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Produktdetails

• Verlag: Springer New York
• Seitenzahl: 252
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461243168
• Artikelnr.: 44052694

Inhaltsangabe

1. Games in Extensive Form.- 1.1. Trees.- 1.2. Game Trees.- 1.3. Choice Functions and Strategies.- 1.4. Games with Chance Moves.- 1.5. Equilibrium N-tuples of Strategies.- 1.6. Normal Forms.- 2. Two-Person Zero-Sum Games.- 2.1. Saddle Points.- 2.2. Mixed Strategies.- 2.3. Small Games.- 2.4. Symmetric Games.- 3. Linear Programming.- 3.1. Primal and Dual Problems.- 3.2. Basic Forms and Pivots.- 3.3. The Simplex Algorithm.- 3.4. Avoiding Cycles and Achieving Feasibility.- 3.5. Duality.- 4. Solving Matrix Games.- 4.1. The Minimax Theorem.- 4.2. Some Examples.- 5. Non-Zero-Sum Games.- 5.1. Noncooperative Games.- 5.2. Solution Concepts for Noncooperative Games.- 5.3. Cooperative Games.- 6. N-Person Cooperative Games.- 6.1. Coalitions.- 6.2. Imputations.- 6.3. Strategic Equivalence.- 6.4. Two Solution Concepts.- 7. Game-Playing Programs.- 7.1. Three Algorithms.- 7.2. Evaluation Functions.- Appendix. Solutions.