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Let λ and κ be cardinal numbers such that κ is infinite and either 2≤ λ≤ κ, or λ= 2 κ. We
prove that there exists a lattice L with exactly λ many congruences, 2 κ many ideals, but only …

The set of equivalence relations on any non-empty set is equipped with a natural order that
makes it a complete lattice. The lattice structure only depends on the cardinality of the set …

We study how a consensus emerges in a finite population of like-minded individuals who
are asymmetrically informed about the realization of the true state of the world. Agents …

This dissertation consists of three essays on information and interactive knowledge in game
theory. In the first essay, we study how a consensus emerges in a finite population of rational …

The equivalence relations of a finite set can be identified with partitions on the set, and these
partitions form a lattice under appropriate operations. In this paper, we define and study a …