Game theory and mechanism design

By: Y NarahariMaterial type: TextTextSeries: IISc Lecture Notes Series ; Vol. 4Publication details: New Jersey: World Scientific Publishing, [c2014]Description: 492 pISBN: 978-981-4525-05-3Subject(s): MathematicsLOC classification: QA269
Contents:
1. Introduction and Overview Non-Cooperative Game Theory: 2. Key Notions in Game Theory 3. Extensive Form Games 4. Strategic Form Games 5. Dominant Strategy Equilibria 6. Pure Strategy Nash Equilibria 7. Mixed Strategies and Mixed Strategy Nash Equilibrium 8. Utility Theory 9. Matrix Games 10. Existence of Nash Equilibrium 11. Computation of Nash Equilibria 12. Complexity of Computing a Nash Equilibrium 13. Bayesian Games Mechanism Design: 14. Introduction to Mechanism Design 15. Implementation of Social Choice Functions by Mechanisms 16. Incentive Compatibility and Revelation Theorem 17. The Gibbard-Satterthwaite Impossibility Theorem 18. Vickrey-Clarke-Groves (VCG) Mechanisms 19. Mechanism Design Space in Quasilinear Environment 20. Auctions 21. Optimal Mechanisms and Myerson Auction 22. Mechanism Design for Sponsored Search Auctions 23. Implementation in Ex-Post Nash Equilibrium 24. Further Topics in Mechanism Design Cooperative Game Theory: 25. Correlated Strategies and Correlated Equilibrium 26. The Two Person Bargaining Problem 27. Coalitional Games with Transferable Utility 28. The Core of Coalitional Games 29. The Shapley Value 30. Other Solution Concepts in Cooperative Game Theory 31. Stable Matching 32. Epilogue 33. Mathematical Preliminaries
Summary: This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the “science” behind traditional as well as emerging economic applications for the society. A unique feature of the book is its detailed coverage of mechanism design which is the art of designing a game among strategic agents so that a social goal is realized in an equilibrium of the induced game. Another feature is a large number of illustrative examples that are representative of both classical and modern applications of game theory and mechanism design. The book also includes informative biographical sketches of game theory legends, and is specially customized to a general engineering audience. --- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 5 QA269 (Browse shelf (Opens below)) Available Invoice no. IN 222 ; Date 08-05-2019 02017
Total holds: 0

1. Introduction and Overview

Non-Cooperative Game Theory:
2. Key Notions in Game Theory
3. Extensive Form Games
4. Strategic Form Games
5. Dominant Strategy Equilibria
6. Pure Strategy Nash Equilibria
7. Mixed Strategies and Mixed Strategy Nash Equilibrium
8. Utility Theory
9. Matrix Games
10. Existence of Nash Equilibrium
11. Computation of Nash Equilibria
12. Complexity of Computing a Nash Equilibrium
13. Bayesian Games

Mechanism Design:
14. Introduction to Mechanism Design
15. Implementation of Social Choice Functions by Mechanisms
16. Incentive Compatibility and Revelation Theorem
17. The Gibbard-Satterthwaite Impossibility Theorem
18. Vickrey-Clarke-Groves (VCG) Mechanisms
19. Mechanism Design Space in Quasilinear Environment
20. Auctions
21. Optimal Mechanisms and Myerson Auction
22. Mechanism Design for Sponsored Search Auctions
23. Implementation in Ex-Post Nash Equilibrium
24. Further Topics in Mechanism Design

Cooperative Game Theory:
25. Correlated Strategies and Correlated Equilibrium
26. The Two Person Bargaining Problem
27. Coalitional Games with Transferable Utility
28. The Core of Coalitional Games
29. The Shapley Value
30. Other Solution Concepts in Cooperative Game Theory
31. Stable Matching
32. Epilogue
33. Mathematical Preliminaries

This book offers a self-sufficient treatment of a key tool, game theory and mechanism design, to model, analyze, and solve centralized as well as decentralized design problems involving multiple autonomous agents that interact strategically in a rational and intelligent way. The contents of the book provide a sound foundation of game theory and mechanism design theory which clearly represent the “science” behind traditional as well as emerging economic applications for the society. A unique feature of the book is its detailed coverage of mechanism design which is the art of designing a game among strategic agents so that a social goal is realized in an equilibrium of the induced game. Another feature is a large number of illustrative examples that are representative of both classical and modern applications of game theory and mechanism design. The book also includes informative biographical sketches of game theory legends, and is specially customized to a general engineering audience. --- summary provided by publisher

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