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Merging and Splitting in Cooperative Games: Some (Im-)Possibility Results

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  • Peter Holch Knudsen

    (Department of Economics, University of Copenhagen)

  • Lars Peter Østerdal

    (Department of Economics, University of Copenhagen)

Abstract

Solutions for cooperative games with side-payments can be manipulated by merging a coalition of players into a single player, or, conversely, splitting a player into a number of smaller players. This paper establishes some (im-)possibility results concerning merging- or splitting-proofness of core solutions of balanced and convex games.

Suggested Citation

  • Peter Holch Knudsen & Lars Peter Østerdal, 2005. "Merging and Splitting in Cooperative Games: Some (Im-)Possibility Results," Discussion Papers 05-19, University of Copenhagen. Department of Economics.
    • Handle: RePEc:kud:kuiedp:0519
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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; Dutta-Ray solution;
    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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