What are the main differences in the methods of game theory and experimental economics? Which method is better suited to analyze strategic behavior?
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$\begingroup$ Depends on what exactly you mean by strategic behavior. $\endgroup$ – Giskard Oct 15 '16 at 9:12
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They're complementary to each other.
With the development of Behavioral Game Theory, canonized in Camerer's 2003 textbook, the current paradigm of game theory 1 is converging towards making theories about how people play games, and test them, most often with experiments.