Game theory, alive Anna R Karlin; Y Peres

By:

Karlin, Anna R [author]

Contributor(s):

Peres, Yuval [author]

Material type: Text

TextPublication details: Providence, Rhode Island ; New Delhi ; American Mathematical Society, 2019.Edition: Indian editionDescription: xxvi, 372 pages : illustrations 24 cmISBN:

9781470454784

Subject(s):

DDC classification:

23 519.3 K146G

Contents:

Part I. Analyzing games : strategies and equilibria. Combinatorial games -- Two-person zero-sum games -- Zero-sum games on graphs -- General-sum games -- Existence of Nash equilibria and fixed points -- Games in extensive form -- Evolutionary and correlated equilibria -- The price of anarchy -- Random-turn games -- Part II. Designing games and mechanisms. Stable matching and allocation -- Fair division -- Cooperative games -- Social choice and voting -- Auctions -- Truthful actions in win/lose settings -- VCG and scoring rules -- Matching markets -- Adaptive decision making -- Appendix A. Linear programming -- Appendix B. Some useful probability tools.

Summary: "This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science, economics, social choice, biology, and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics."--Back cover.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	519.3 K146G (Browse shelf(Opens below))	Available		G016881

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Gifted by NBHM

Part I. Analyzing games : strategies and equilibria. Combinatorial games --
Two-person zero-sum games --
Zero-sum games on graphs --
General-sum games --
Existence of Nash equilibria and fixed points --
Games in extensive form --
Evolutionary and correlated equilibria --
The price of anarchy --
Random-turn games --
Part II. Designing games and mechanisms. Stable matching and allocation --
Fair division --
Cooperative games --
Social choice and voting --
Auctions --
Truthful actions in win/lose settings --
VCG and scoring rules --
Matching markets --
Adaptive decision making --
Appendix A. Linear programming --
Appendix B. Some useful probability tools.

"This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science, economics, social choice, biology, and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics."--Back cover.

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