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Sequential Formation of Alliances in Survival Contests

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  • Hideo Konishi

    (Boston College)

  • Chen-Yu Pan

    (National Chengchi University, Taiwan)

Abstract

We consider a sequential formation of alliances à la Bloch (1996) and Okada (1996) followed by a two-stage contest in which alliances first compete with each other, and then the members in the winning alliance compete again for an indivisible prize. In contrast to Konishi and Pan (2019) which adopted an open-membership game as the alliance formation process, alliances are allowed to limit their memberships (excludable alliances). We show that if members' efforts are strongly complementary to each other, there will be exactly two asymmetric alliances the larger alliance is formed first and then the rest of the players form the smaller one. This result contrasts with the one under open membership, where moderate complementarity is necessary to support a two-alliance structure. It is also in stark contrast with Bloch et al. (2006), where they show that a grand coalition is formed in the same game if the prize is divisible and a binding contract is possible to avoid further conflicts after an alliance wins the prize.

Suggested Citation

  • Hideo Konishi & Chen-Yu Pan, 2019. "Sequential Formation of Alliances in Survival Contests," Boston College Working Papers in Economics 973, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:973
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    References listed on IDEAS

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    1. Konishi, Hideo & Pan, Chen-Yu, 2021. "Endogenous alliances in survival contests," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 337-358.
    2. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
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    4. Hwan Baik, Kyung & Lee, Sanghack, 1997. "Collective rent seeking with endogenous group sizes," European Journal of Political Economy, Elsevier, vol. 13(1), pages 121-130, February.
    5. Okada, Akira, 1996. "A Noncooperative Coalitional Bargaining Game with Random Proposers," Games and Economic Behavior, Elsevier, vol. 16(1), pages 97-108, September.
    6. Kai Konrad, 2012. "Information alliances in contests with budget limits," Public Choice, Springer, vol. 151(3), pages 679-693, June.
    7. Francis Bloch & Santiago Sánchez-Pagés & Raphaël Soubeyran, 2006. "When does universal peace prevail? Secession and group formation in conflict," Economics of Governance, Springer, vol. 7(1), pages 3-29, January.
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    9. Carraro,Carlo & Siniscalco,Domenico (ed.), 1997. "New Directions in the Economic Theory of the Environment," Cambridge Books, Cambridge University Press, number 9780521590891, November.
    10. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    11. Konrad, Kai A., 2004. "Bidding in hierarchies," European Economic Review, Elsevier, vol. 48(6), pages 1301-1308, December.
    12. Baik, Kyung Hwan & Lee, Sanghack, 2001. "Strategic Groups and Rent Dissipation," Economic Inquiry, Western Economic Association International, vol. 39(4), pages 672-684, October.
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    Cited by:

    1. Imamura, Kenzo & Konishi, Hideo & Pan, Chen-Yu, 2023. "Stability in matching with externalities: Pairs competition and oligopolistic joint ventures," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 270-286.
    2. Konishi, Hideo & Pan, Chen-Yu, 2021. "Endogenous alliances in survival contests," Journal of Economic Behavior & Organization, Elsevier, vol. 189(C), pages 337-358.
    3. Dongryul Lee & Pilwon Kim, 2022. "Group formation in a dominance-seeking contest," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 39-68, January.
    4. Hideo Konishi & Chen-Yu Pan & Dimitar Simeonov, 2023. "Formation of Teams in Contests: Tradeoffs Between Inter and Intra-Team Inequalities," Boston College Working Papers in Economics 1061, Boston College Department of Economics.

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    More about this item

    Keywords

    contest; alliance; coalition formation; complementarity;
    All these keywords.

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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