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Game Theory, Alive (Hardcover)
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Game Theory, Alive (Hardcover)
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We live in a highly connected world with multiple self-interested
agents interacting and myriad opportunities for conflict and
cooperation. The goal of game theory is to understand these
opportunities. 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 (algorithmic game theory),
economics (auctions and matching markets), social choice (voting
theory), biology (signaling and evolutionary stability), 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, engineering,
or statistics. The importance of game-theoretic thinking transcends
the academic setting-for every action we take, we must consider not
only its direct effects, but also how it influences the incentives
of others.
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