arXiv 26 Jan 2018 · Econometrics
arXiv:1801.08767 · PDF · DOI · OpenAlex · Extracted main text
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 this model can be used to describe the lexicographic belief hierarchy in epistemic game theory, and perfect rationalizability can be characterized within this model. Then we show that each ordered Kripke model is the limit of a sequence of standard probabilistic Kripke models with a modified (common) belief operator, in the senses of structure and the (epsilon-)permissibilities characterized within them.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Perea, A (2012) Epistemic Game Theory: Reasoning and Choice | 0.928 | 4 | 3 | 100% |
| 2 | Myerson, R.B (1978) Refinements of the Nash Equilibrium Concept | 0.811 | 4 | 2 | 100% |
| 3 | Asheim, G.B., Dufwenberg, M (2003) Admissibility and common belief | 0.644 | 2 | 2 | 100% |
| 4 | Bonanno, G (2008) A syntactic approach to rationality in games with ordinal payoffs, In | 0.644 | 2 | 2 | 100% |
| 5 | Bonanno, G (2015) Epistemic foundation of game theory, Chapter 9 of | 0.511 | 2 | 1 | 100% |
| 6 | Blume, L., Brandenburger, A., Dekel, E (1991) Lexicographic probabilities and choice under uncertainty | 0.511 | 2 | 1 | 100% |
| 7 | Blume, L., Brandenburger, A., Dekel, E (1991) Lexicographic probabilities and equilibrium refinements | 0.511 | 2 | 1 | 100% |
| 8 | Schuhmacher, F (1999) Proper rationalizability and backward induction | 0.511 | 2 | 1 | 100% |
| 9 | Asheim, G.B (2001) Proper rationalizability in lexicographic beliefs | 0.405 | 1 | 1 | 100% |
| 10 | Aumann, R (1976) Agreeing to disagree | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 17 scored citations.