Axiomatic Theory of Equilibrium in Signaling Games with Generic Payoffs
33 Pages Posted: 22 Oct 2008
Date Written: September 1, 2008
Three axioms from decision theory select sets of Nash equilibria of signaling games in extensive form with generic payoffs. The axioms require undominated strategies (admissibility), inclusion of a sequential equilibrium (backward induction), and dependence only on the game's normal form even when embedded in a larger game with redundant strategies or irrelevant players(small worlds). The axioms are satisfied by a set that is stable (Mertens, 1989) and conversely the axioms imply that each selected set is stable and thus an essential component of admissible equilibria with the same outcome.
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