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Fair division of a set of indivisible goods in a situation of unequal entitlements

Marek Bożykowski

2012

( 18 )

https:/doi.org/

Abstract

The paper presents modifi cation of four nonprobabilistic procedures of fair division of a set of indivisible goods with money: Original Knaster, Adjusted Knaster, Equal Shares and Second Prices. The purpose of modification is to adjust the aforementioned methods to the problem of division of a set of goods in a situation of unequal entitlements. Extended versions of six formal properties, namely: strong Pareto optimality, proportionality, envyfreeness, equitability, strategy-proofness and anonymity are also presented. Moreover,proofs of procedures having the same formal properties in a situation of unequal entitlements as in a situation of equal entitlements are shown.

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Procedures of fair division of a set of indivisible goods with money

Marek Bożykowski

2011

( 15 )

https:/doi.org/

Abstract

The paper presents and compares four nonprobabilistic procedures of fair division of a set of indivisible goods with money: Original Knaster, Adjusted Knaster, Equal Shares and Second Prices. The last two are presented for the first time in the article. The analysis concerns the formal properties of thosemethods, namely: strong Pareto optimality, proportionality, envy-freeness, fairness, strategy-proofness and anonymity. Moreover, classes of situations inwhich those procedures meet aforementioned properties will be compared.

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