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Introduction to Game Theory 1st Edition by Peter Morris ISBN 038794284X 9780387942841

Name: Introduction to Game Theory 1st Edition by Peter Morris ISBN 038794284X 9780387942841
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Authors:Peter Morris (auth.) , Series:Gaming [143] , Author sort:Morris, Peter , Languages:Languages:eng , Published:Published:Nov 2011 , Publisher:Springer

SKU: EB-25246 Category: eBook PDF Tags: Game Theory, Introduction, Peter Morris

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ISBN 10: 038794284X
ISBN 13: 9780387942841
Author: Peter Morris

The mathematical theory of games has as its purpose the analysis of a wide range of competitive situations. These include most of the recreations which people usually call “games” such as chess, poker, bridge, backgam mon, baseball, and so forth, but also contests between companies, military forces, and nations. For the purposes of developing the theory, all these competitive situations are called games. The analysis of games has two goals. First, there is the descriptive goal of understanding why the parties (“players”) in competitive situations behave as they do. The second is the more practical goal of being able to advise the players of the game as to the best way to play. The first goal is especially relevant when the game is on a large scale, has many players, and has complicated rules. The economy and international politics are good examples. In the ideal, the pursuit of the second goal would allow us to describe to each player a strategy which guarantees that he or she does as well as possible. As we shall see, this goal is too ambitious. In many games, the phrase “as well as possible” is hard to define. In other games, it can be defined and there is a clear-cut “solution” (that is, best way of playing).

Introduction to Game Theory 1st Edition Table of contents:

Part I: Foundations of Game Theory

Introduction to Game Theory
- What is Game Theory?
- History and Development of Game Theory
- Types of Games and Basic Terminology
- Applications of Game Theory
Strategic Form Games
- Definition of Strategic Form
- Payoff Matrices and Strategy Sets
- Dominated Strategies
- Nash Equilibrium: Definition and Examples
Iterative Elimination of Dominated Strategies
- The Process of Iterative Elimination
- Examples of Dominated Strategy Elimination
- Rationalizable Strategies
- The Role of Dominance in Simplifying Games

Part II: Core Concepts in Game Theory

Nash Equilibrium
- The Concept of Nash Equilibrium
- Existence of Nash Equilibrium
- Mixed Strategies and Mixed Strategy Nash Equilibrium
- Application of Nash Equilibrium in Real-world Problems
Extensive Form Games
- Introduction to Extensive Form Representation
- Subgame Perfect Equilibrium (SPE)
- Backward Induction
- Sequential Games and Applications
Repeated Games and Strategies
- The Repeated Game Framework
- Folk Theorem and Cooperation in Repeated Games
- Strategies in Repeated Games: Tit-for-Tat
- Applications in Economics and Business

Part III: Advanced Topics in Game Theory

Bayesian Games and Incomplete Information
- Games with Incomplete Information
- Bayesian Nash Equilibrium
- Signaling and Screening Games
- Applications in Auctions and Market Behavior
Cooperative Game Theory
- Introduction to Cooperative Games
- The Core and the Shapley Value
- Coalition Formation and Stability
- Applications of Cooperative Game Theory in Negotiation and Coalitions
Evolutionary Game Theory
- Basic Concepts of Evolutionary Game Theory
- Evolutionarily Stable Strategies (ESS)
- The Prisoner’s Dilemma and Cooperation in Evolution
- Applications in Biology and Social Systems

Part IV: Applications and Case Studies

Game Theory in Economics
- Oligopoly and Market Competition
- Bargaining and Negotiation Models
- Auction Theory and Mechanism Design
- Game Theory in Consumer and Producer Behavior
Game Theory in Political Science
- Voting Systems and Political Strategy
- Game Theory and International Relations
- Conflict and Cooperation in Political Science
- Applications in Diplomacy and Warfare
Game Theory in Social and Behavioral Sciences
- Social Dilemmas and Collective Action Problems
- Cooperation and Trust in Social Interactions
- Game Theory and Behavioral Economics
- Applications in Law, Ethics, and Psychology

Part V: Conclusion and Future Directions

Challenges and Future Directions in Game Theory
- Limitations of Traditional Game Theory
- Computational Complexity and Algorithmic Game Theory
- The Role of Artificial Intelligence in Game Theory
- Interdisciplinary Applications of Game Theory

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Introduction to Game Theory 1st Edition by Peter Morris ISBN 038794284X 9780387942841

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