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Self-enforcing coalitions with power accumulation

Author

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  • Karl Jandoc

    (University of Hawaii)

  • Ruben Juarez

    (University of Hawaii)

Abstract

Agents endowed with power compete for a divisible resource by forming coalitions with other agents. The coalition with the greatest power wins the resource and divides it among its members. The agents’ power increases according to their share of the resource.We study two models of coalition formation where winning agents accumulate power and losing agents may participate in further coalition formation processes. An axiomatic approach is provided by focusing on variations of two main axioms: self-enforcement, which requires that no further deviation happens after a coalition has formed, and rationality, which requires that agents pick the coalition that gives them their highest payoff. For these alternative models, we determine the existence of stable coalitions that are self-enforcing and rational for two traditional sharing rules. The models presented in this paper illustrate how power accumulation, the sharing rule, and whether losing agents participate in future coalition formation processes, shape the way coalitions will be stable throughout time.

Suggested Citation

  • Karl Jandoc & Ruben Juarez, 2017. "Self-enforcing coalitions with power accumulation," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 327-355, May.
    • Handle: RePEc:spr:jogath:v:46:y:2017:i:2:d:10.1007_s00182-016-0538-6
    DOI: 10.1007/s00182-016-0538-6
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    1. Martin C. McGuire & Mancur Olson, 1998. "The Economics of Autocracy and Majority Rule: The Invisible Hand and the Use of Force," International Economic Association Series, in: Silvio Borner & Martin Paldam (ed.), The Political Dimension of Economic Growth, chapter 3, pages 38-73, Palgrave Macmillan.
    2. Petros Sekeris, 2011. "Endogenous elites: power structure and patron-client relationships," Economics of Governance, Springer, vol. 12(3), pages 237-258, September.
    3. Torsten Persson & Gerard Roland & Guido Tabellini, 2000. "Comparative Politics and Public Finance," Journal of Political Economy, University of Chicago Press, vol. 108(6), pages 1121-1161, December.
    4. Torsten Persson & Gérard Roland & Guido Tabellini, 1997. "Separation of Powers and Political Accountability," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(4), pages 1163-1202.
    5. Ray, Debraj, 2007. "A Game-Theoretic Perspective on Coalition Formation," OUP Catalogue, Oxford University Press, number 9780199207954.
    6. Konishi, Hideo & Ray, Debraj, 2003. "Coalition formation as a dynamic process," Journal of Economic Theory, Elsevier, vol. 110(1), pages 1-41, May.
    7. Björn Bartling & Ferdinand A. von Siemens, 2010. "Equal Sharing Rules in Partnerships," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 166(2), pages 299-320, June.
    8. Lee, Sanghack, 1995. "Endogenous Sharing Rules in Collective-Group Rent-Seeking," Public Choice, Springer, vol. 85(1-2), pages 31-44, October.
    9. Debraj Ray & Rajiv Vohra, 2015. "The Farsighted Stable Set," Econometrica, Econometric Society, vol. 83(3), pages 977-1011, May.
    10. Kyung Hwan Baik, 1994. "Winner‐Help‐Loser Group Formation In Rent‐Seeking Contests," Economics and Politics, Wiley Blackwell, vol. 6(2), pages 147-162, July.
    11. Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2008. "Coalition Formation in Non-Democracies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 987-1009.
    12. Ray, Debraj & Vohra, Rajiv, 2015. "Coalition Formation," Handbook of Game Theory with Economic Applications,, Elsevier.
    13. William Thomson, 2007. "On the existence of consistent rules to adjudicate conflicting claims: a constructive geometric approach," Review of Economic Design, Springer;Society for Economic Design, vol. 11(3), pages 225-251, November.
    14. Papai, Szilvia, 2004. "Unique stability in simple coalition formation games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 337-354, August.
    15. Juarez, Ruben, 2013. "Group strategyproof cost sharing: The role of indifferences," Games and Economic Behavior, Elsevier, vol. 82(C), pages 218-239.
    16. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
    17. Acemoglu, Daron & Golosov, Mikhail & Tsyvinski, Aleh, 2011. "Power fluctuations and political economy," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1009-1041, May.
    18. Effrosyni Diamantoudi & Licun Xue, 2003. "Farsighted stability in hedonic games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 39-61, August.
    19. John Ferejohn, 1986. "Incumbent performance and electoral control," Public Choice, Springer, vol. 50(1), pages 5-25, January.
    20. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    21. Nitzan, Shmuel, 1991. "Collective Rent Dissipation," Economic Journal, Royal Economic Society, vol. 101(409), pages 1522-1534, November.
    22. Jordan, J.S., 2006. "Pillage and property," Journal of Economic Theory, Elsevier, vol. 131(1), pages 26-44, November.
    23. Robert Barro, 1973. "The control of politicians: An economic model," Public Choice, Springer, vol. 14(1), pages 19-42, March.
    24. Sanghack Lee, 1993. "Inter-group competition for a pure private rent," The Quarterly Review of Economics and Finance, Elsevier, vol. 33(3), pages 261-266.
    25. Daron Acemoglu & Georgy Egorov & Konstantin Sonin, 2009. "Do Juntas Lead to Personal Rule?," American Economic Review, American Economic Association, vol. 99(2), pages 298-303, May.
    26. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
    27. Olson, Mancur, 1993. "Dictatorship, Democracy, and Development," American Political Science Review, Cambridge University Press, vol. 87(3), pages 567-576, September.
    28. Ehlers, Lars, 2002. "Coalitional Strategy-Proof House Allocation," Journal of Economic Theory, Elsevier, vol. 105(2), pages 298-317, August.
    29. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    30. , & ,, 2009. "Coalition formation under power relations," Theoretical Economics, Econometric Society, vol. 4(1), March.
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    Cited by:

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