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econ.EM2018
Ordered Kripke Model, Permissibility, and Convergence of Probabilistic Kripke Model
Shuige Liu
We define a modification of the standard Kripke model, called the ordered Kripke model, by introducing a linear order on the set of accessible states of each state. We first show t…
econ.EM2018
Characterizing Assumption of Rationality by Incomplete Information
Shuige Liu
We characterize common assumption of rationality of 2-person games within an incomplete information framework. We use the lexicographic model with incomplete information and show t…
econ.EM2017
A Note on Gale, Kuhn, and Tucker's Reductions of Zero-Sum Games
Shuige Liu
Gale, Kuhn and Tucker (1950) introduced two ways to reduce a zero-sum game by packaging some strategies with respect to a probability distribution on them. In terms of value, they…