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Mixed rules in multi-issue allocation situations

Author

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  • Bergantiños, Gustavo
  • Chamorro, José María
  • Lorenzo, Leticia
  • Lorenzo-Freire, Silvia

Abstract

Multi-issue allocation situations study problems where we have to divide an estate 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 proportionally to their demands on this issue. We apply such rule to two real problems: the distribution of natural resources between countries and the distribution of budget for education and research between universities.

Suggested Citation

  • Bergantiños, Gustavo & Chamorro, José María & Lorenzo, Leticia & Lorenzo-Freire, Silvia, 2019. "Mixed rules in multi-issue allocation situations," MPRA Paper 94314, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:94314
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    References listed on IDEAS

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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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    More about this item

    Keywords

    multi-issue allocation situations; proportional rule; constrained equal awards rule;
    All these keywords.

    JEL classification:

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

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