How to Divide When There Isn't Enough : From Aristotle, the Talmud, and Maimonides to the Axiomatics of Resource Allocation (Paperback)

1. Introduction; 2. Inventory of division rules; 3. Basic properties of division rules; 4. Monotonicity properties; 5. Claims truncation invariance and minimal rights first; 6. Composition down and composition up; 7. Duality; 8. Other invariance properties; 9. Operators; 10. Variable-population model: consistency and related properties; 11. Constructing consistent extensions of two-claimant rules; 12. Variable-population model: other properties; 13. Ranking awards vectors and ranking rules; 14. Modeling claims problems as games; 15. Variants and generalizations of the base model; 16. Summary graphs and tables; 17. Appendices.