The Geometry of Efficient Fair Division - Cambridge University Press - Image 1

£75.22

Cambridge University Press The Geometry of Efficient Fair Division - Cambridge University Press

Name: The Geometry of Efficient Fair Division - Cambridge University Press
Brand: Cambridge University Press
Price: 75.22 GBP
Availability: InStock

24633

Theory & Philosophy

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Description

Explore the mathematical complexities of resource allocation with The Geometry of Efficient Fair Division from Cambridge University Press. This academic text addresses a fundamental question: what is the most effective way to divide a cake and allocate pieces among a finite collection of players? Moving beyond simple division, this book treats the cake as a measure space. It examines scenarios where each player uses a countably additive, non-atomic probability measure to evaluate the size of their pieces. Because different players generally use different measures, the book provides a rigorous look at how subjective value impacts division. Readers will gain a deep understanding of efficiency properties, investigating whether alternative partitions exist that could make one player happier without making others less happy. The text also analyzes fairness properties to determine if all players perceive their piece as being at least as large as others. This work is a vital resource for those studying the theory and philosophy of economics and mathematical division.

Key Features

Investigates efficiency properties to determine if partitions can be improved to make at least one player happier without reducing the satisfaction of others.

Analyzes fairness properties to evaluate if all players perceive their allocated piece as being at least as large as the pieces given to others.

Provides a mathematical framework where the cake is treated as a measure space for rigorous analysis.

Examines complex scenarios where players use different countably additive, non-atomic probability measures to evaluate piece sizes.

Offers a deep dive into the mathematical foundations of fair division among a finite collection of players.

Product Specifications

Brand: Cambridge University Press
Model: 24633
Format: hardcover
ASIN: 0521842484
Category: Books > Subjects > Business, Finance & Law > Economics > Theory & Philosophy
Domain: Amazon UK
Release Date: 24 January 2005
Listed Since: 22 January 2007

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Cambridge University Press The Geometry of Efficient Fair Division - Cambridge University Press

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