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Coalition Formation Games: A Survey

Author

Listed:
  • JANA HAJDUKOVÁ

    (Institute of Mathematics, Faculty of Science, Pavol Jozef šafárik University, Jesenná 5, Košice, 041 54 Slovakia, The Slovak Republic)

Abstract

In this paper we give an overview of various methods used to study cooperation within a set of players. Besides the classical games with transferable utility and games without transferable utility, recently new models have been proposed: the coalition formation games. In these, each player has his own preferences over coalitions to which he could belong and the quality of a coalition structure is evaluated according to its stability. We review various definitions of stability and restrictions of preferences ensuring the existence of a partition stable with respect to a particular stability definition. Further, we stress the importance of preferences over sets of players derived from preferences over individuals and review the known algorithmic results for special types of preferences derived from the best and/or the worst player of a coalition.

Suggested Citation

  • Jana Hajduková, 2006. "Coalition Formation Games: A Survey," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 613-641.
    • Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:04:n:s0219198906001144
    DOI: 10.1142/S0219198906001144
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    Citations

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    Cited by:

    1. Ulrich Faigle & Michel Grabisch, 2012. "Values for Markovian coalition processes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(3), pages 505-538, November.
    2. Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
    3. Ekaterina Marova & Ekaterina Gromova & Polina Barsuk & Anastasia Shagushina, 2020. "On the Effect of the Absorption Coefficient in a Differential Game of Pollution Control," Mathematics, MDPI, vol. 8(6), pages 1-24, June.
    4. Barua, Limon & Zou, Bo & Choobchian, Pooria, 2023. "Maximizing truck platooning participation with preferences," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 179(C).
    5. Tom Blockmans & Marie-Anne Guerry, 2016. "Coalition Formation Procedures: The Impact of Issue Saliences and Consensus Estimation," Group Decision and Negotiation, Springer, vol. 25(3), pages 481-499, May.

    More about this item

    Keywords

    Coalition formation; stability; extending preferences; algorithms; NP-completeness; 91A12; 91A06; 91B68; 68W05;
    All these keywords.

    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics

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