In cooperative games, the coalition structure core is, despite its potential emptiness, one of most popular solutions. While it is a fundamentally static concept, consideration sequential extension underlying dominance correspondence gave rise to selection non-empty generalizations. Among these, payoff-equivalence minimal dominant set and myopic stable are defined by similar conditions. We iden...

in this article, we have shown, for the add-point monad t, thepartial morphism category set*is isomorphic to the kleisli category sett. alsowe have proved that the category, sett, of t-algebras is isomorphic to thecategory set of pointed sets. finally we have established commutative squaresinvolving these categories.