Public Choice

, Volume 179, Issue 3–4, pp 267–285 | Cite as

Stag hunt contests and alliance formation

  • James W. BoudreauEmail author
  • Lucas Rentschler
  • Shane Sanders


We consider a three-party game of conflict with potential alliance formation, introducing the concept of a stag hunt alliance and using the concept as a novel solution to the alliance formation puzzle in contests. In a stag hunt alliance, allied inputs interact as (multiplicative) complements in the contest success function, reflecting the idea that allied efforts are coordinated and targeted against non-allies. Allowing for asymmetry among conflicting parties, we find conditions for stable alliance formation and show that, in some circumstances, the formation of an alliance can improve the expected payoffs of both the allied and unallied parties relative to unallied conflict. At the same time, the expected payoffs of allied parties also can be greater than their payoffs under a three-party exogenous settlement division without conflict. Hence, the ability to form stag hunt alliances may not simply change conflict structures, but may sometimes generate conflict when settlements are possible. Our results depend on how allies divide the contest prize in the event of victory, and we consider both the case of exogenous division according to a pre-specified rule and endogenous division in a second-stage intra-alliance contest. We also show that the threat of the latter can be used to establish an intuitive exogenous rule by simple bargaining. Finally, we specify conditions that determine which parties choose to ally with one another.


Alliance Coalition Conflict Contest Stag hunt Free-ridership Rent dissipation 

JEL Classification

C71 C72 D72 D74 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Economics, Finance, and Quantitative AnalysisKennesaw State UniversityKennesawUSA
  2. 2.Department of Economics and FinanceUtah State UniversityLoganUSA
  3. 3.Department of Sport Management, Falk College of Sport and Human DynamicsSyracuse UniversityNew YorkUSA

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