Optimal Management of Evolving Hierarchies

Jens Leth Hougaard, Juan D. Moreno-Ternero, Lars Peter Østerdal

Publikation: Working paperForskning

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Resumé

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.
OriginalsprogEngelsk
Udgivelses stedFrederiksberg
UdgiverDepartment of Economics, Copenhagen Business School
Antal sider23
StatusUdgivet - 2018
NavnWorking Paper
Nummer11-2018

Emneord

  • Optimal transfer schemes
  • Hierarchies
  • Management
  • Nash equilibrium

Citer dette

Hougaard, J. L., Moreno-Ternero, J. D., & Østerdal, L. P. (2018). Optimal Management of Evolving Hierarchies. Frederiksberg: Department of Economics, Copenhagen Business School. Working Paper, Nr. 11-2018
Hougaard, Jens Leth ; Moreno-Ternero, Juan D. ; Østerdal, Lars Peter. / Optimal Management of Evolving Hierarchies. Frederiksberg : Department of Economics, Copenhagen Business School, 2018. (Working Paper; Nr. 11-2018).
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Hougaard, JL, Moreno-Ternero, JD & Østerdal, LP 2018 'Optimal Management of Evolving Hierarchies' Department of Economics, Copenhagen Business School, Frederiksberg.

Optimal Management of Evolving Hierarchies. / Hougaard, Jens Leth; Moreno-Ternero, Juan D.; Østerdal, Lars Peter.

Frederiksberg : Department of Economics, Copenhagen Business School, 2018.

Publikation: Working paperForskning

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N2 - 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.

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Hougaard JL, Moreno-Ternero JD, Østerdal LP. Optimal Management of Evolving Hierarchies. Frederiksberg: Department of Economics, Copenhagen Business School. 2018.