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Best Game Theory Books. Ken Binmores most popular book is Game Theory. Therefore it is a basic framework to understand how game theory can be applied to economics.
For a first course Watson or Dutta are pretty standard in economics departments. Ken Binmores most popular book is Game Theory. A Very Short Introduction.
There are many other very good books covering various topics in greater depth but I listed the ones that seem the most comprehensive andor.
Finally for a math major or a PhD student the classic is. Rubinstein and Osborne - A Course in Game Theory. The Complete Textbook by William Spaniel. There are three classic textbooks for graduate level game theory.