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Merging and splitting in cooperative games: some (im)possibility results

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  • Peter Knudsen
  • Lars Østerdal

Abstract

Allocation rules for cooperative games can be manipulated by coalitions merging into single players, or, conversely, players splitting into a number of smaller units. This paper collects some (im)possibility results on merging- and splitting-proofness of (core) allocation rules for cooperative games with side-payments. Copyright Springer-Verlag 2012

Suggested Citation

  • Peter Knudsen & Lars Østerdal, 2012. "Merging and splitting in cooperative games: some (im)possibility results," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(4), pages 763-774, November.
    • Handle: RePEc:spr:jogath:v:41:y:2012:i:4:p:763-774
    DOI: 10.1007/s00182-012-0337-7
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    2. Duygu Yengin, 2012. "Characterizing the Shapley value in fixed-route traveling salesman problems with appointments," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(2), pages 271-299, May.
    3. Duygu Yengin, 2009. "Appointment Games in Fixed-Route Traveling Salesman Problems and the Shapley Value," School of Economics and Public Policy Working Papers 2009-28, University of Adelaide, School of Economics and Public Policy.
    4. Juan Carlos Gonc{c}alves-Dosantos & Ricardo Mart'inez & Joaqu'in S'anchez-Soriano, 2024. "The museum pass problem with consortia," Papers 2410.23923, arXiv.org.
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    6. Teresa Estañ & Natividad Llorca & Ricardo Martínez & Joaquín Sánchez-Soriano, 2020. "Manipulability in the cost allocation of transport systems," ThE Papers 20/08, Department of Economic Theory and Economic History of the University of Granada..

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    More about this item

    Keywords

    Cooperative games; Manipulation; Merging; Splitting; Fujishige-Dutta-Ray allocation rule; C71; D23; D71;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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