Coalitional Game Forms with Topological Closure Systems

This paper contributes to the task of classifying game forms from a structural point of view by studying properties of their concept-or Galoislattices. A characterization of those coalitional game forms that have topological closure systems is provided.It is also shown that CGFs with topological closure systems include additive effectivity functions and simple effectivity functions, but do not reduce to them, and that the resulting topologies are T0 only if the underlying CGF is ‘purified’