Munich Personal RePEc Archive

# The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms

Streufert, Peter (2018): The Category of Node-and-Choice Forms, with Subcategories for Choice-Sequence Forms and Choice-Set Forms.

More specifically, the paper develops two full subcategories: CsqF for forms whose nodes are choice-sequences, and CsetF for forms whose nodes are choice-sets. I show that NCF is isomorphically enclosed'' in CsqF in the sense that each NCF form is isomorphic to a CsqF form. Similarly, I show that CsqF_\tilde{a} is isomorphically enclosed in CsetF in the sense that each CsqF form with no-absentmindedness is isomorphic to a CsetF form. The converses are found to be almost immediate, and the resulting equivalences unify and simplify two ad hoc style equivalences in Kline and Luckraz (Economic Theory Bulletin, 2016) and Streufert (International Journal of Game Theory, forthcoming).