Theoretical Economics, Volume 13, Number 3 (September 2018)

Theoretical Economics 13 (2018), 1077–1110


Competition and networks of collaboration

Nikita Roketskiy

Abstract


I develop a model of collaboration between tournament participants in which agents collaborate in pairs, and an endogenous structure of collaboration is represented by a weighted network. The agents are forward-looking and capable of coordination; they value collaboration with others and higher tournament rankings. I use von Neumann-Morgenstern stable sets as a solution. I find stable networks in which agents collaborate only within exclusive groups. Both an absence of intergroup collaboration and excessive intragroup collaboration lead to inefficiency. I provide a necessary and sufficient condition for the stability of efficient outcomes in winner-takes-all tournaments. I show that the use of transfers does not repair efficiency.

Keywords: Network, collaboration, farsighted agent, stable set, tournament

JEL classification: D85, C71

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