Allocation rules on networks
AbstractABSTRACT: When allocating a resource, geographical and infrastructural constraints have to be taken into account. We study the problem of distributing a resource through a network from sources endowed with the resource to citizens with claims. A link between a source and an agent depicts the possibility of a transfer from the source to the agent. Given the supplies at each source, the claims of citizens, and the network, the question is how to allocate the available resources among the citizens.We consider a simple allocation problem that is free of network constraints, where the total amount can be freely distributed. The simple allocation problem is a claims problem where the total amount of claims is greater than what is available. We focus on consistent and resource monotonic rules in claims problems that satisfy equal treatment of equals. We call these rules fairness principles and we extend fairness principles to allocation rules on networks. We require that for each pair of citizens in the network, the extension is robust with respect to the fairness principle. We call this condition pairwise robustness with respect to the fairness principle. We provide an algorithm and show that each fairness principle has a unique extension which is pairwise robust with respect to the fairness principle. We give applications of the algorithm for three fairness principles: egalitarianism, proportionality and equal sacri ce.
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Bibliographic InfoPaper provided by UNIVERSIDAD DEL ROSARIO in its series DOCUMENTOS DE TRABAJO with number 009380.
Date of creation: 11 Mar 2012
Date of revision:
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Networks; Claims Problems; Egalitarianism; Proportionality; Equal Sacri ce.;
Other versions of this item:
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
- D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation
- Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-03-21 (All new papers)
- NEP-GTH-2012-03-21 (Game Theory)
- NEP-MIC-2012-03-21 (Microeconomics)
- NEP-NET-2012-03-21 (Network Economics)
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