Axiomatic Concensus Theory in Group Choice and Biomathematics

A unique comprehensive review of axiomatic consensus theory in biomathematics as it has developed over the past 30 years.

William H. E. Day (Author), F. R. McMorris (Author)

9780898715514, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 January 1987

170 pages
25.1 x 17.7 x 0.9 cm, 0.321 kg

Bioconsensus is a rapidly evolving scientific field in which consensus methods, often developed for use in social choice theory, are adapted for such areas of the biological sciences as taxonomy, systematics, and evolutionary and molecular biology. Typically, after several alternatives are produced using different data sets, methods or algorithms, one needs to find a consensus solution. The axiomatic approach of this book explores the existence or nonexistence of consensus rules that satisfy particular sets of desirable well-defined properties. The axiomatic research reviewed here focuses first on the area of group choice, then in areas of biomathematics where the objects of interest represent partitions of a set, hierarchical structures, phylogenetic trees, or molecular sequences.

List of Figures
List of Tables
Foreword
Preface
1. Achieving Consensus
2. Axiomatics in Group Choice
3. Impossibilities in Bioconsensus
4. Possibilities in Bioconsensus
5. General Models of Consensus
6. Beyond Consensus
Quick References
Bibliography
Index.

Subject Areas: Mathematical modelling [PBWH]