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Allocation rules for coalitional network games

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  • CAULIER, Jean-François
  • MAULEON, Ana
  • VANNETELBOSCH, Vincent

Abstract

Coalitional network games are real-valued functions defined on a set of players organized into a network and a coalition structure. We adopt a flexible approach assuming that players organize themselves the best way possible by forming the efficient coalitional network structure. We propose two allocation rules that distribute the value of the efficient coalitional network structure: the atom-based flexible coalitional network allocation rule and the player-based flexible coalitional network allocation rule.
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Suggested Citation

  • CAULIER, Jean-François & MAULEON, Ana & VANNETELBOSCH, Vincent, 2015. "Allocation rules for coalitional network games," LIDAM Reprints CORE 2718, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:2718
    Note: In : Mathematical Social Sciences, 78, 2015, p. 80-88
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    1. Navarro, Noemí, 2010. "Flexible network rules for identified externalities," Games and Economic Behavior, Elsevier, vol. 69(2), pages 401-410, July.
    2. Jackson, Matthew O., 2005. "Allocation rules for network games," Games and Economic Behavior, Elsevier, vol. 51(1), pages 128-154, April.
    3. Jean-François Caulier & Ana Mauleon & Jose Sempere-Monerris & Vincent Vannetelbosch, 2013. "Stable and efficient coalitional networks," Review of Economic Design, Springer;Society for Economic Design, vol. 17(4), pages 249-271, December.
    4. Jackson, Matthew O. & Wolinsky, Asher, 1996. "A Strategic Model of Social and Economic Networks," Journal of Economic Theory, Elsevier, vol. 71(1), pages 44-74, October.
    5. Pascal Mossay & Pierre Picard, 2019. "Spatial segregation and urban structure," Journal of Regional Science, Wiley Blackwell, vol. 59(3), pages 480-507, June.
    6. Duranton, Gilles & Martin, Philippe & Mayer, Thierry & Mayneris, Florian, 2010. "The Economics of Clusters: Lessons from the French Experience," OUP Catalogue, Oxford University Press, number 9780199592203, December.
    7. Gilboa, Itzhak & Lehrer, Ehud, 1991. "Global Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(2), pages 129-147.
    8. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    9. Michel Grabisch, 2010. "The lattice of embedded subsets," Post-Print hal-00457827, HAL.
    10. Jean-François Caulier & Ana Mauleon & Jose Sempere-Monerris & Vincent Vannetelbosch, 2013. "Stable and efficient coalitional networks," Review of Economic Design, Springer;Society for Economic Design, vol. 17(4), pages 249-271, December.
    11. Jean-François Caulier & Ana Mauleon & Vincent Vannetelbosch, 2013. "Contractually stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 483-499, May.
    12. Philippe De Donder & Marie-Louise Leroux, 2012. "Behavioral Biases and Long Term Care Annuities: A Political Economy Approach," CESifo Working Paper Series 3972, CESifo.
    13. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521715348.
    14. E. Algaba & J. M. Bilbao & P. Borm & J. J. López, 2001. "The Myerson value for union stable structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 54(3), pages 359-371, December.
    15. AUMANN, Robert J. & DREZE, Jacques H., 1974. "Cooperative games with coalition structures," LIDAM Reprints CORE 217, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. De Donder Philippe & Leroux Marie-Louise, 2013. "Behavioral Biases and Long-Term Care Insurance: A Political Economy Approach," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(2), pages 551-575, May.
    17. Gaertner,Wulf & Schokkaert,Erik, 2011. "Empirical Social Choice," Cambridge Books, Cambridge University Press, number 9781107013940.
    18. Fleurbaey,Marc & Maniquet,François, 2011. "A Theory of Fairness and Social Welfare," Cambridge Books, Cambridge University Press, number 9780521887427.
    19. Takashi Ui & Hiroyuki Kojima & Atsushi Kajii, 2011. "The Myerson value for complete coalition structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 427-443, December.
    20. Calvo, Emilio & Gutiérrez, Esther, 2010. "Solidarity in games with a coalition structure," Mathematical Social Sciences, Elsevier, vol. 60(3), pages 196-203, November.
    21. Jean-François Caulier & Ana Mauleon & Vincent Vannetelbosch, 2013. "Contractually stable networks," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(2), pages 483-499, May.
    22. Wooders, Myrna, 2008. "Small group effectiveness, per capita boundedness and nonemptiness of approximate cores," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 888-906, July.
    23. Alonso-Meijide, J.M. & Álvarez-Mozos, M. & Fiestras-Janeiro, M.G., 2009. "Values of games with graph restricted communication and a priori unions," Mathematical Social Sciences, Elsevier, vol. 58(2), pages 202-213, September.
    24. Vazquez-Brage, Margarita & Garcia-Jurado, Ignacio & Carreras, Francesc, 1996. "The Owen Value Applied to Games with Graph-Restricted Communication," Games and Economic Behavior, Elsevier, vol. 12(1), pages 42-53, January.
    25. René Brink & Anna Khmelnitskaya & Gerard Laan, 2016. "An Owen-type value for games with two-level communication structure," Annals of Operations Research, Springer, vol. 243(1), pages 179-198, August.
    26. Carreras, Francesc, 1991. "Restriction of simple games," Mathematical Social Sciences, Elsevier, vol. 21(3), pages 245-260, June.
    27. Kongo, Takumi, 2011. "Value of games with two-layered hypergraphs," Mathematical Social Sciences, Elsevier, vol. 62(2), pages 114-119, September.
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    4. DUJARDIN, Claire & lorant, VINCENT & THOMAS, Isabelle, 2013. "Self-assessed health of elderly people in Brussels: does the built environment matter?," LIDAM Discussion Papers CORE 2013048, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. PAPAVASILIOU, Anthony & HE, Yi & SVOBODA, Alva, 2013. "Self-commitment of combined cycle units under electricity price uncertainty," LIDAM Discussion Papers CORE 2013051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Kirchsteiger, Georg & Mantovani, Marco & Mauleon, Ana & Vannetelbosch, Vincent, 2016. "Limited farsightedness in network formation," Journal of Economic Behavior & Organization, Elsevier, vol. 128(C), pages 97-120.
    7. Chevalier, Philippe & Lamas, Alejandro & Lu, Liang & Mlinar, Tanja, 2015. "Revenue management for operations with urgent orders," European Journal of Operational Research, Elsevier, vol. 240(2), pages 476-487.
    8. Chih‐Sheng Hsieh & Lung‐Fei Lee & Vincent Boucher, 2020. "Specification and estimation of network formation and network interaction models with the exponential probability distribution," Quantitative Economics, Econometric Society, vol. 11(4), pages 1349-1390, November.
    9. AVELLA, Pasquale & BOCCIA, Maurizio & WOLSEY, Laurence, 2013. "Single item reformulations for a vendor managed inventory routing problem: computational experience with benchmark instances," LIDAM Discussion Papers CORE 2013045, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Sokolov, Denis, 2022. "Shapley value for TU-games with multiple memberships and externalities," Mathematical Social Sciences, Elsevier, vol. 119(C), pages 76-90.
    11. José María Alonso-Meijide & Mikel à lvarez-Mozos & Maria Gloria Fiestras-Janeiro & Andres Jiménez-Losada, 2022. "Two families of values for global games," UB School of Economics Working Papers 2022/428, University of Barcelona School of Economics.

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    More about this item

    JEL classification:

    • A14 - General Economics and Teaching - - General Economics - - - Sociology of Economics
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D85 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Network Formation

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