An Introduction to Allocation Rules

ISBN-13: 9783642425073 / Angielski / Miękka / 2014 / 154 str.

Jens Leth Hougaard

Opis

This book contains a systematic analysis of allocation rules related to cost and surplus sharing problems. Broadly speaking, it examines various types of rules for allocating a common monetary value (cost) between individual members of a group (or network) when the characteristics of the problem are somehow objectively given. Without being an advanced text it o?ers a comprehensive mathematical analysis of a series of well-known allocation rules. The aim is to provide an overview and synthesis of current kno- edge concerning cost and surplus sharing methods. The text is accompanied by a description of several practical cases and numerous examples designed to make the theoretical results easily comprehensible for both students and practitioners alike. The book is based on a series of lectures given at the University of Copenhagen and Copenhagen Business School for graduate students joining the math/econ program. I am indebted to numerous colleagues, conference participants and s- dents who during the years have shaped my approach and interests through collaboration, commentsandquestionsthatweregreatlyinspiring.Inparti- lar, I would like to thank Hans Keiding, Maurice Koster, Tobias Markeprand, Juan D. Moreno-Ternero, Herv e Moulin, Bezalel Peleg, Lars Thorlund- Petersen, Jorgen Tind, Mich Tvede and Lars Peter Osterdal."

Recenzje

Reviews H. Moulin, M. Koster

From the reviews:

"The referred volume is organized as a summary textbook offering mathematical analysis of a series of typical allocation rules. It offers an overview and mathematical formalism of current knowledge of its field of interest, focused on allocating monetary costs among members of a group or network of agents. ... The theoretical models are completed by numerous illustrative examples, and all particular chapters are closed by methodological comments, a heuristic summary and a sufficient list of references." (Milan Mares, Zentralblatt MATH, Vol. 1178, 2010)

Spis treści

Motivation and a Few Cases.- Simple Sharing Problems.- Cost Allocation as Cooperative Games.- General Sharing Problems.- Sharing in Networks.

Blurb

This book focuses on analyzing cost and surplus sharing problems in a systematic fashion. It offers an in-depth analysis of various types of rules for allocating a common monetary value (cost) between members of a group or network – e.g. individuals, firms or products. The results can help readers evaluate the pros and cons of the various methods involved in terms of various factors such as fairness, consistency, stability, monotonicity and manipulability. As such, the book represents an up-to-date survey of cost and surplus sharing methods for researchers, students and practitioners alike. The text is accompanied by practical cases and numerous examples to make the theoretical results easily accessible.