Probabilistic comparison of weighted majority rules

• Autorzy: Daniel Berend , Luba Bromberg , Luba Sapir
• Języki publikacji: EN

Abstrakty

EN

This paper studies a bi-parametric family of decision rules, so-called restricted distinguished chairman rules, which contains several one-parameter classes of rules considered previously in the literature. Roughly speaking, these rules apply to a variety of situations where the original committee appoints a subcommittee. Moreover, the chairman of the subcommittee, who is supposed to be the most competent committee member, may have more voting power than other jurors. Under the assumption of exponentially distributed decision skills, we obtain an analytic formula for the probability of any restricted distinguished chairman rule being optimal. We also study, for arbitrary fixed voting power of the chairman, the connection between the probability of the rule being optimal and the size of the subcommittee.

Kategorie tematyczne

• 91B06: Decision theory
• 91B12: Voting theory
• 91B14: Social choice

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2012
• Tom: 39
• Numer: 2
• Strony: 151-167

Daty

wydano

2012

Twórcy

autor

Daniel Berend

• Departments of Mathematics and Computer Science, Ben-Gurion University, 84105 Be'er Sheva, Israel

autor

Luba Bromberg

• Departments of Mathematics and Computer Science, Ben-Gurion University, 84105 Be'er Sheva, Israel

autor

Luba Sapir

• Departments of Mathematics and Computer Science, Ben-Gurion University, 84105 Be'er Sheva, Israel

Identyfikatory

DOI

10.4064/am39-2-4