The two-stage constrained equal awards and losses rules for multi-issue allocation situations

  1. Silvia Lorenzo-Freire 1
  2. Balbina Casas-Méndez 2
  3. Ruud Hendrickx 3
  1. 1 Universidad de Coruña, España
  2. 2 Universidad de Santiago de Compostela, España
  3. 3 Tilburg University, Holanda
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ISSN: 1863-8279,  1134-5764

Year of publication: 2010

Volume: 18

Issue: 2

Pages: 465-480

Type: Article

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Abstract

This paper considers two-stage solutions for multi-issue allocation situations, which are extensions of bankruptcy problems. Characterizations are provided for the two-stage constrained equal awards and constrained equal losses rules, based on the properties of composition up and composition down.

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Acknowledgements The authors would like to thank Rodica Branzêi and four anonymous referees for some useful comments. Financial support from Netherlands Organisation for Scientific Research (NWO) is gratefully acknowledged by Ruud Hendrickx and from Spanish Ministry of Science and Technology and FEDER through projects SEJ2005-07637-C02-01 and 02 and ECO2008-03484-C02-01 and 02 by Balbina Casas and Silvia Lorenzo.

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