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Balanced Consistency and Balanced Cost Reduction for Sequencing Problems

Author

Listed:
  • Rene van den Brink

    (VU University Amsterdam)

  • Youngsub Chun

    (Seoul National University, Seoul, Korea)

Abstract

This discussion paper resulted in a publication in 'Social Choice and Welfare' , 2012, 38, 519-529. We investigate the implications of imposing balanced consistency and balanced cost reduction in the context of sequencing problems. Balanced consistency requires that the effect on the payoff from the departure of one agent to another agent should be equal between any two agents. On the other hand, balanced cost reduction requires that if one agent leaves a problem, then the total payoffs of the remaining agents should be affected by the amount previously assigned to the leaving agent. We show that the minimal transfer rule is the only rule satisfying efficiency and Pareto indifference together with either one of our two main axioms, balanced consistency and balanced cost reduction.

Suggested Citation

  • Rene van den Brink & Youngsub Chun, 2010. "Balanced Consistency and Balanced Cost Reduction for Sequencing Problems," Tinbergen Institute Discussion Papers 10-035/1, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20100035
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    Cited by:

    1. is not listed on IDEAS
    2. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
    3. Rene van den Brink & Youngsub Chun & Yukihiko Funaki & Zhengxing Zou, 2021. "Balanced Externalities and the Proportional Allocation of Nonseparable Contributions," Tinbergen Institute Discussion Papers 21-024/II, Tinbergen Institute.
    4. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    5. Tsay, Min-Hung & Yeh, Chun-Hsien & Chun, Youngsub, 2025. "Axiomatic and strategic justifications of the connected equal splitting rule in the reordering problem," Journal of Mathematical Economics, Elsevier, vol. 117(C).
    6. Yokote, Koji & Kongo, Takumi & Funaki, Yukihiko, 2018. "The balanced contributions property for equal contributors," Games and Economic Behavior, Elsevier, vol. 108(C), pages 113-124.
    7. van den Brink, René & Chun, Youngsub & Funaki, Yukihiko & Zou, Zhengxing, 2023. "Balanced externalities and the proportional allocation of nonseparable contributions," European Journal of Operational Research, Elsevier, vol. 307(2), pages 975-983.

    More about this item

    Keywords

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    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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