Decisions over Sequences. (arXiv:2203.00070v2 [econ.TH] UPDATED)

This paper introduces a class of objects called decision rules that map
infinite sequences of alternatives to a decision space. These objects can be
used to model situations where a decision maker encounters alternatives in a
sequence such as receiving recommendations. Within the class of decision rules,
we study natural subclasses: stopping and uniform stopping rules. Our main
result establishes the equivalence of these two subclasses of decision rules.
Next, we introduce the notion of computability of decision rules using …

arxiv decisions