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A Characterization of the Uniform Rule with Several Commodities and Agents

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  • Shuhei Morimoto
  • Shigehiro Serizawa
  • Stephen Ching

Abstract

We consider the problem of allocating infinitely divisible commodities among a group of agents. Especially, we focus on the case where there are several commodities to be allocated, and agents have continuous, strictly convex, and separable preferences. In this paper, we establish that the uniform rule is the only rule satisfying strategy-proofness, unanimity, symmetry, and nonbossiness.

Suggested Citation

  • Shuhei Morimoto & Shigehiro Serizawa & Stephen Ching, 2010. "A Characterization of the Uniform Rule with Several Commodities and Agents," ISER Discussion Paper 0769, Institute of Social and Economic Research, The University of Osaka.
    • Handle: RePEc:dpr:wpaper:0769
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    Cited by:

    1. Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2021. "Individually rational rules for the division problem when the number of units to be allotted is endogenous," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 376-401, April.
    2. William Thomson, 2016. "Non-bossiness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 665-696, October.
    3. Agustin G. Bonifacio, 2025. "Pareto-undominated strategy-proof rules in economies with multidimensional single-peaked preferences," Papers 2502.17682, arXiv.org.
    4. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    5. Hinata Kurashita & Ryosuke Sakai, 2025. "Egalitarian-equivalent and strategy-proof mechanisms in homogeneous multi-object allocation problems," Papers 2507.09152, arXiv.org.
    6. Adachi, Tsuyoshi, 2010. "The uniform rule with several commodities: A generalization of Sprumont's characterization," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 952-964, November.
    7. Gustavo Bergantiños & Jordi Massó & Inés Moreno de Barreda & Alejandro Neme, 2015. "Stable partitions in many division problems: the proportional and the sequential dictator solutions," Theory and Decision, Springer, vol. 79(2), pages 227-250, September.
    8. Chatterji, Shurojit & Massó, Jordi & Serizawa, Shigehiro, 2025. "On strategy-proofness and the salience of single-peakedness in a private goods allotment problem," Games and Economic Behavior, Elsevier, vol. 150(C), pages 48-70.
    9. Swaprava Nath & Nath and Arunava Sen, 2014. "Affine maximizers in domains with selfish valuations," Discussion Papers 14-12, Indian Statistical Institute, Delhi.
    10. Tsuyoshi Adachi & Takumi Kongo, 2013. "First-price auctions on general preference domains: axiomatic characterizations," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 93-103, May.
    11. William Thomson, 2018. "On the terminology of economic design: a critical assessment and some proposals," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 67-99, June.
    12. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.

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