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Optimal Management of Evolving Hierarchies

Jens Hougaard (), Juan Moreno-Ternero and Lars Peter Østerdal

No 11-2018, Working Papers from Copenhagen Business School, Department of Economics

Abstract: We study the optimal management of evolving hierarchies, which abound in real-life phenomena. An initiator invests into finding a subordinate, who will bring revenues to the joint venture and who will invest herself into finding another subordinate, and so on. The higher the individual investment (which is private information), the higher the probability of finding a subordinate. A transfer scheme specifies how revenues are reallocated, via upward transfers, as the hierarchy evolves. Each transfer scheme induces a game in which agents decide their investment choices. We consider two optimality notions for schemes: initiator-optimal and socially-optimal schemes. We show that the former are schemes imposing to each member a full transfer to two recipients (the predecessor and the initiator) with a constant ratio among the transfers. We show that the latter are schemes imposing full transfers to the immediate predecessors.

Keywords: Optimal transfer schemes; Hierarchies; Management; Nash equilibrium (search for similar items in EconPapers)
JEL-codes: C70 L24 M52 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2018-12-30
New Economics Papers: this item is included in nep-gth
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Journal Article: Optimal Management of Evolving Hierarchies (2022) Downloads
Working Paper: Optimal Management of Evolving Hierarchies (2021) Downloads
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