Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Consensus weak hierarchies.

F R McMorris1, R C Powers

  • 1Department of Mathematics, University of Louisville, KY 40292.

Bulletin of Mathematical Biology
|January 1, 1991
PubMed
Summary
This summary is machine-generated.

This study provides an axiomatic characterization for consensus functions on weak hierarchies. These functions generalize the well-known majority rule consensus method.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Some axiomatic limitations for consensus and supertree functions on hierarchies.

Journal of theoretical biology·2016
Same author

Conservative supertrees.

Systematic biology·2011
Same author

Majority-rule (+) consensus trees.

Mathematical biosciences·2010
Same author

Constructing majority-rule supertrees.

Algorithms for molecular biology : AMB·2010
Same author

Explosions and hot spots in supertree methods.

Journal of theoretical biology·2008
Same author

Measuring the phylogenetic randomness of biological data sets.

Systematic biology·2002
Same journal

Slow Evolution Towards Generalism in a Model of Variable Dietary Range.

Bulletin of mathematical biology·2026
Same journal

CBINN: Cancer Biology-Informed Neural Network for Unknown Parameter Estimation and Missing Physics Identification.

Bulletin of mathematical biology·2026
Same journal

A Cost-Sensitive Behavioral Modeling Analysis of the Early Identification and Control of Infectious Diseases.

Bulletin of mathematical biology·2026
Same journal

Tracking Dynamics of Superspreading Through Contacts, Exposures, and Transmissions in Edge-Based Network Epidemics.

Bulletin of mathematical biology·2026
Same journal

The Exact Hypergeometric Posterior Method for Accurate Inference of Population Size from Mark-Recapture Data.

Bulletin of mathematical biology·2026
Same journal

Modeling, Analysis, and Optimal Control of Leukemic Cell Population Dynamics Under Therapy.

Bulletin of mathematical biology·2026
See all related articles

Area of Science:

  • Social Choice Theory
  • Decision Making
  • Mathematical Social Sciences

Background:

  • Consensus functions are crucial for aggregating preferences in group decision-making.
  • Existing methods like majority rule have limitations in certain hierarchical structures.
  • Weak hierarchies represent complex preference structures relevant to real-world scenarios.

Purpose of the Study:

  • To develop a formal axiomatic characterization for consensus functions specifically designed for weak hierarchies.
  • To extend the understanding of consensus mechanisms beyond simple majority rule.
  • To provide a theoretical foundation for novel consensus protocols in hierarchical settings.

Main Methods:

  • Axiomatic characterization of functions on weak hierarchies.

Related Experiment Videos

  • Generalization of existing consensus rules, including majority rule.
  • Formal definition and analysis of properties of consensus functions.

    • Main Results:

    • A set of axioms is proposed that uniquely characterizes consensus functions on weak hierarchies.
    • The proposed functions are shown to be generalizations of the majority rule consensus.
    • The axiomatic framework provides a robust method for analyzing and designing consensus mechanisms.

    Conclusions:

    • The axiomatic characterization offers a rigorous framework for understanding consensus in weak hierarchies.
    • This work generalizes majority rule, providing more versatile tools for group decision-making.
    • The findings have implications for designing fair and consistent decision processes in complex organizational structures.