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An Algorithm for Stable and Equitable Coalition Structures with Public Goods

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  • Fan-chin Kung

    (City University of Hong Kong & Academia Sinica)

Abstract

We study the formation of coalitions that provide public goods to members. Individuals are linked on a tree graph and those with similar preferences are connected on the tree. We present a solution that selects allocations belonging to the coalition structure core and that are also envy-free.

Suggested Citation

  • Fan-chin Kung, 2004. "An Algorithm for Stable and Equitable Coalition Structures with Public Goods," Game Theory and Information 0409007, University Library of Munich, Germany, revised 21 Jun 2005.
  • Handle: RePEc:wpa:wuwpga:0409007
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    References listed on IDEAS

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    8. Fan-chin Kung, 2005. "Formation of Collective Decision-Making Units: Stability and a Solution," Game Theory and Information 0505002, University Library of Munich, Germany, revised 21 Jun 2005.
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    Cited by:

    1. ,, 2009. "Strategy-proofness and single-crossing," Theoretical Economics, Econometric Society, vol. 4(2), June.
    2. Francesco Ciardiello & Crescenzio Gallo, 2009. "A Graph-Traversing Algorithm for Computing Some Stable Sets in Effectiveness Coalitional Games," Quaderni DSEMS 08-2009, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
    3. Roy, Souvik & Sadhukhan, Soumyarup, 2021. "A unified characterization of the randomized strategy-proof rules," Journal of Economic Theory, Elsevier, vol. 197(C).
    4. Souvik Roy & Soumyarup Sadhukhan, 2019. "A characterization of random min–max domains and its applications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 887-906, November.
    5. Gopakumar Achuthankutty & Souvik Roy, 2018. "On single-peaked domains and min–max rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 753-772, December.
    6. Jiehua Chen & Kirk R. Pruhs & Gerhard J. Woeginger, 2017. "The one-dimensional Euclidean domain: finitely many obstructions are not enough," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 409-432, February.
    7. Fan-chin Kung, 2013. "Public Good Coalitions and Membership Exclusion," Economics Bulletin, AccessEcon, vol. 33(2), pages 1390-1395.
    8. Achuthankutty, Gopakumar & Roy, Souvik, 2017. "On Top-connected Single-peaked and Partially Single-peaked Domains," MPRA Paper 78102, University Library of Munich, Germany.
    9. Robert Bredereck & Jiehua Chen & Gerhard Woeginger, 2013. "A characterization of the single-crossing domain," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 989-998, October.
    10. Fan-Chin Kung, 2015. "Sorting out single-crossing preferences on networks," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 663-672, March.
    11. Alejandro Saporiti, 2006. "Strategic voting on single-crossing domains," Economics Discussion Paper Series 0617, Economics, The University of Manchester.

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    More about this item

    Keywords

    Coalition formation; coalition structure core; envy-free; public goods; mechanism design;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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