Two novel construction methods of semi-overlap (grouping) functions on complete lattices

Overlap and grouping functions on complete lattices

Infinitely [formula omitted]-distributive t-norms on complete lattices and pseudo-complements

Constructing overlap and grouping functions on complete lattices by means of complete homomorphisms

Lifting associative operations on subposets of a complete lattice

Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals

Constructing uninorms via closure operators on a bounded lattice

Pre-(quasi-)overlap functions on bounded posets

Lift and generalized ordinal sum of negations on bounded posets

Subdirect product construction of concept lattices

Recently Yang and Qi (2013) stated an interesting theorem on existence of complete lattice of equilibria in a particular class of large nonatomic supermodular games for general action and players spaces. Unfortunately, their result is incorrect. In this note, we detail the nature of the problem with the stated theorem, provide a counterexample, and then correct the result under additional assumptions. We also provide a number of new results per existence of equilibria in more general classes of games of strategic complementarities that are monotone in players' name/trait, as well as provide a class of constructive methods for computing monotone equilibrium comparative statics.