5 papers
Compactification of Extensive Game Structures and Backward Dominance Procedure
Shuige Liu
We study the relationship between invariant transformations on extensive game structures and backward dominance procedure (BD), a generalization of the classical backward induction…
Characterizing Permissibility, Proper Rationalizability, and Iterated Admissibility by Incomplete Information
Shuige Liu
We characterize three interrelated concepts in epistemic game theory: permissibility, proper rationalizability, and iterated admissibility. We define the lexicographic epistemic mo…
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…
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…
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…