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Mixed rules in multi‐issue allocation situations

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Listed:
  • Gustavo Bergantiños
  • Jose María Chamorro
  • Leticia Lorenzo
  • Silvia Lorenzo‐Freire

Abstract

Multi‐issue allocation situations study problems where an estate must be divided among a group of agents. The claim of each agent is a vector specifying the amount claimed by each agent on each issue. We present a two‐stage rule. First, we divide the estate among the issues following the constrained equal awards rule. Second, the amount assigned to each issue is divided among the agents in proportion to their demands on this issue. We apply the rule to two real‐world problems: the distribution of natural resources between countries and the distribution of budget for education and research between universities.

Suggested Citation

  • Gustavo Bergantiños & Jose María Chamorro & Leticia Lorenzo & Silvia Lorenzo‐Freire, 2018. "Mixed rules in multi‐issue allocation situations," Naval Research Logistics (NRL), John Wiley & Sons, vol. 65(1), pages 66-77, February.
    • Handle: RePEc:wly:navres:v:65:y:2018:i:1:p:66-77
    DOI: 10.1002/nav.21785
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    Cited by:

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    3. Rick K. Acosta & Encarnación Algaba & Joaquín Sánchez-Soriano, 2022. "Multi-issue bankruptcy problems with crossed claims," Annals of Operations Research, Springer, vol. 318(2), pages 749-772, November.

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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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