By identifying types whose low-order beliefs up to level li about the state of nature coincide, we
obtain quotient type spaces that are typically smaller than the original ones, preserve basic topological
properties, and allow standard equilibrium analysis even under bounded reasoning. Our Bayesian Nash
(li; l-i)-equilibria capture players inability to distinguish types belonging to the same equivalence class.
The case with uncertainty about the vector of levels (li; l-i) is also analyzed. Two ...
By identifying types whose low-order beliefs up to level li about the state of nature coincide, we
obtain quotient type spaces that are typically smaller than the original ones, preserve basic topological
properties, and allow standard equilibrium analysis even under bounded reasoning. Our Bayesian Nash
(li; l-i)-equilibria capture players inability to distinguish types belonging to the same equivalence class.
The case with uncertainty about the vector of levels (li; l-i) is also analyzed. Two examples illustrate
the constructions.
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