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Spatial games and endogenous coalition formation

Author

Listed:
  • Guillermo Owen

    (Naval Postgraduate School)

  • Francesc Carreras

    (Polytechnic University of Catalonia)

Abstract

We consider n-person games in which players are located in some Euclidean space. These locations represent affinity between players. Thus there are two reasons why coalitions might form: (a) the members are close together, and/or (b) there is much to be gained from a coalition. We determine, in such case, which coalitions are more likely to form. We also model how players are likely to move in this space, so that stronger coalitions might form.

Suggested Citation

  • Guillermo Owen & Francesc Carreras, 2022. "Spatial games and endogenous coalition formation," Annals of Operations Research, Springer, vol. 318(2), pages 1095-1115, November.
    • Handle: RePEc:spr:annopr:v:318:y:2022:i:2:d:10.1007_s10479-021-04493-3
    DOI: 10.1007/s10479-021-04493-3
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    References listed on IDEAS

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    1. Grofman, Bernard & Owen, Guillermo & Noviello, Nicholas & Glazer, Amihai, 1987. "Stability and Centrality of Legislative Choice in the Spatial Context," American Political Science Review, Cambridge University Press, vol. 81(2), pages 539-553, June.
    2. Owen, G & Shapley, L S, 1989. "Optimal Location of Candidates in Ideological Space," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 339-356.
    3. Roger B. Myerson, 1977. "Graphs and Cooperation in Games," Mathematics of Operations Research, INFORMS, vol. 2(3), pages 225-229, August.
    4. Anthony Downs, 1957. "An Economic Theory of Political Action in a Democracy," Journal of Political Economy, University of Chicago Press, vol. 65(2), pages 135-135.
    5. Carreras, Francesc & Owen, Guillermo, 1988. "Evaluation of the Catalonian Parliament, 1980-1984," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 87-92, February.
    6. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
    7. Shapley, L. S. & Shubik, Martin, 1954. "A Method for Evaluating the Distribution of Power in a Committee System," American Political Science Review, Cambridge University Press, vol. 48(3), pages 787-792, September.
    8. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Guillermo Owen, 1975. "Multilinear extensions and the banzhaf value," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 22(4), pages 741-750, December.
    10. Guillermo Owen, 1972. "Multilinear Extensions of Games," Management Science, INFORMS, vol. 18(5-Part-2), pages 64-79, January.
    11. Owen, Guillermo, 1990. "Stable outcomes in spatial voting games," Mathematical Social Sciences, Elsevier, vol. 19(3), pages 269-279, June.
    12. Fuad Aleskerov & Manfred Holler & Rita Kamalova, 2014. "Power distribution in the Weimar Reichstag in 1919–1933," Annals of Operations Research, Springer, vol. 215(1), pages 25-37, April.
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    Cited by:

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    Keywords

    Games; Coalitions; Affinity; Values;
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