Games and Decision Making

by ;
Format: Hardcover
Pub. Date: 1999-07-22
Publisher(s): Oxford University Press
List Price: $95.94

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Summary

Games and Decision Making is a self-contained introduction to basic issues and techniques of modern decision theory. From classical optimization to modern game theory, the authors show the increasing importance of mathematical knowledge for sustained competitive advantage in decision making.Students need only a basic understanding of elementary calculus and probability to use the book effectively. Through an imaginative selection of topics, the authors treat decision and game theory as part of one body of knowledge. They move from problems involving the individual decision-maker to progressively more complex problems such as sequential rationality, auctions, and bargaining. By building eachchapter on material presented earlier, the authors avoid unnecessary confusion. The first chapter introduces optimization theory with a single decision-maker by using problems from finance and management to illustrate optimization techniques. Chapter two introduces the fundamentals of game theory by developing the theory of strategic form games and their solutions. The authorsalso present applications from a variety of sources including markets, voting, auctions, and resource extraction. Chapter three is devoted to sequential decision making, followed by two chapters on sequential games. The final chapters cover auctions and bargaining. Successfully class tested in a management science course at the Krannert School of Management, Games and Decision Making is an essential text for professors who need to have their students take a serious look at decision theory, whether at the undergraduate or masters level.

Author Biography

Charalambos D. Aliprantis is Professor at the Krannert School of Management at Purdue University.

Table of Contents

Choices
Functions
The optimization problem
First order conditions
Optimizing uisng the Lagrange method
Uncertainty and chance
Decision making under uncertainty
Decision and Games
Two-person matrix games
Strategic form games
Applications
Solving matrix games with mixed strategies
Sequential Decisions
Graphs and trees
Single-person decisions
Uncertainty and single-person decisions
Sequential Games
The structure of sequential games
Sequential games with perfect information
Sequential games with imperfect information
Sequential Rationality
The market for lemons
Beliefs and strategies
Consistency of beliefs
Expected payoff
Sequential equilibrium
Applications: signaling games
Auctions
Auctions with complete information
Individual private value auctions
English auctions
Common-value auctions
Bargaining
The Nash solution
Monotonicity in bargaining
The core of a bargaining game
Allocation Rules: The Shapley Value
Two-Person Sequential Bargaining
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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