Athanassoglou, Stergios and Sethuraman, Jay (2010): House allocation with fractional endowments. Forthcoming in: International Journal of Game Theory

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Abstract
This paper studies a generalization of the well known house allocation problem in which agents may own fractions of different houses summing to an arbitrary quantity, but have use for only the equivalent of one unit of a house. It departs from the classical model by assuming that arbitrary quantities of each house may be available to the market. Justified envy considerations arise when two agents have the same initial endowment, or when an agent is in some sense disproportionately rewarded in comparison to her peers. For this general model, an algorithm is designed to find a fractional allocation of houses to agents that satisfies ordinal efficiency, individual rationality, and no justified envy. The analysis extend to the full preference domain. Individual rationality, ordinal efficiency, and no justified envy conflict with weak strategyproofness. Moreover, individual rationality, ordinal efficiency and strategyproofness are shown to be incompatible. Finally, two reasonable notions of envyfreeness, no justified envy and equalendowment no envy, conflict in the presence of ordinal efficiency and individual rationality. All of the impossibility results hold in the strict preference domain.
Item Type:  MPRA Paper 

Original Title:  House allocation with fractional endowments 
Language:  English 
Keywords:  house allocation, fractional endowments, fairness, individual rationality 
Subjects:  C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C78  Bargaining Theory ; Matching Theory D  Microeconomics > D7  Analysis of Collective DecisionMaking > D71  Social Choice ; Clubs ; Committees ; Associations C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C72  Noncooperative Games 
Item ID:  24351 
Depositing User:  Stergios Athanassoglou 
Date Deposited:  12. Aug 2010 10:16 
Last Modified:  02. Jan 2016 06:36 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/24351 