Curriculum Vitae
Byung Soo Lee |
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Placement Director: Neil Wallace
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Graduate Secretary & Placement Assistant: Lynn Sebulsky (814)865-1458 lms50@psu.edu |
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Curriculum Vitae |
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THESIS ABSTRACT Essay 1.“Epistemic Foundations of Iterated Admissibility” (Job Market Paper) How can we justify the play of iteratively admissible strategies in a game as a consequence of the players’ rationality? Brandenburger, Friedenberg, and Keisler (2008) models beliefs as lexicographic probability systems toward that end. If rational players never rule out any scenarios, then they will avoid inadmissible (i.e., weakly dominated) strategies. Under this definition of rationality, Brandenburger et al. showed that, when the set of beliefs is complete (i.e., each lexicographic probability system is a possible belief), iteratively admissible strategies will be played if each player is rational, each player thinks the other players are rational, and so on. They leave as an open question whether the condition on interactive beliefs about rationality, called rationality and common assumption of rationality, and completeness of beliefs can be satisfied simultaneously. I answer this question in the affirmative. Thus, an epistemic foundation for iterated admissibility is provided. Essay 2. “Rationalizing Payoff-Dominant Outcomes” I modify two-player simultaneous-move games with a unique payoff-dominant strategy profile by allowing each player to publicly discard any of her original strategic options in turn before play begins. In this setting, I show that extensive-form rationalizable (EFR) profiles, as defined in Pearce (1984), have payoff-dominant outcomes. Furthermore, a strategy profile in which no player makes any commitments is EFR. Thus, the model is interpreted as one of payoff-dominant focal-point formation via forward induction, which is captured by EFR. The result is analogous to that in Ben-Porath and Dekel's (1992) model of money-burning games. That the order of beliefs required to obtain payoff-dominant outcomes is uniformly bounded at three across all games is an advantage of the model in this paper over the money-burning approach, which may require the use of arbitrarily high orders of beliefs to obtain the same result. A limitation of this paper, also shared by the money-burning model, is that the prediction of payoff-dominant play is not robust to the addition of players. |
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