The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations. Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940s, the concept has been widely popularized.
This book gathers into one readable and inclusive source a comprehensive discussion of the state of the art in cake-cutting problems for both the novice and the professional. It offers a complete treatment of all cake-cutting algorithms under all the considered definitions of "fair" and presents them in a coherent, reader-friendly manner. Robertson and Webb have brought this elegant problem to life for both the bright high school student and the professional researcher.
Rezensionen / Stimmen
Cake-Cutting Algorithms will engage and challenge both veteran and novice mathematicians...
-- Francis Edward Su, American Mathematical Monthly , March 2000
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
General and Professional Practice & Development
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 236 mm
Breite: 159 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-1-56881-076-8 (9781568810768)
Schweitzer Klassifikation
Jack Robertson, William Webb
Preface 1 Fairly Dividing a Cake 2 Pieces or Crumbs - How Many Cuts Are Needed? 3 Unequal Shares 4 The Serendipity of Disagreement 5 Some Variations on the Theme of ''Fair'' Division 6 Some Combinatorial Observations 7 Interlude: An Inventory of Results 8 Impossibility Theorems 9 Attempting Fair Division with a Limited Number of Cuts 10 Exact and Envy-Free Algorithms 11 A Return to Division for Unequal Shares