[edit]
Implementable Prescriptive Decision Making
Proceedings of the NIPS 2016 Workshop on Imperfect Decision Makers, PMLR 58:19-30, 2017.
Abstract
The need for inspecting (ir)rationality in decision making (DM)
— the observed discrepancy between real and prescriptive DMs —
stems from omnipresence of DM in individuals’ and society life.
Active approaches try to diminish this discrepancy either by changing
behaviour of participants (DM subjects) or modifying prescriptive
theories as done in this text. It provides a core of unified merging
methodology of probabilities serving for knowledge fusion and information
sharing exploited in cooperative DM. Specifically, it unifies merging
methodologies supporting a flat cooperation of interacting self-interested
DM participants. They act without a facilitator and they are unwilling
to spare a non-negligible deliberation effort on merging. They are supposed
to solve their DM tasks via the fully probabilistic design (FPD) of
decision strategies. This option is motivated by the fact that FPD
is axiomatically justified and extends standard Bayesian DM.
Merging is a supporting DM task and is also solved via FPD.
The proposed merging formulation tries to be as general as possible
without entering into technicalities of measure theory. The results generalise
and unify earlier work and open a pathway to systematic solutions of
specific, less general, problems.