Optimal Challenges for Selection.
Abstract
This paper generalizes the problems of optimal selection considered by the authors in an earlier report by allowing a set of J items to be chosen by two decision makers, the first of whom has A challenges and the second has B challenges. The two decision-makers each have an opportunity to challenge each item before it is accepted, in some fixed order we leave arbitrary. We assume that the decision-makers know the utility function of the other side as well as their own over sets of J items, and that they know the subjective distribution assigned by the other side of characteristics of potential items that will be observed, as well as their own. Under these conditions the other side's response to each potential time can be predicted with certainty, and backward induction defines an optimal strategy. The authors study an important special case we call regular, and show that it is never disadvantageous to go first in the regular case. The use of peremptory challenges in jury trials motivates our model.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1978
- Accession Number
- ADA052829
Entities
People
- Joseph B. Kadane
- Morris H. Degroot
Organizations
- Carnegie Mellon University