TY  - BOOK
AU  - Karlin, Anna R.
AU  - Peres, Yuval 
TI  - Game theory, alive
SN  - 9781470454784
U1  - 519.3 K146G 23
PY  - 2019///
CY  - Providence, Rhode Island, New Delhi
PB  - American Mathematical Society
KW  - Game theory
KW  - Game theory, economics, social and behavioral sciences
KW  - Noncooperative games
KW  - Cooperative games
N1  - 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
N2  - "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
ER  -