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Deposit Games with Reinvestment

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Author Info
Gulick, G. van
Borm, P.E.M.
De Waegenaere, A.M.B.
Hendrickx, R.L.P. (Tilburg University, Center for Economic Research)

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Abstract

In a deposit game coalitions are formed by players combining their capital. The proceeds of their investments then have to be divided among those players. The current model extends earlier work on capital deposits by allowing reinvestment of returns. Two specific subclasses of deposit games are introduced. It is seen that each term dependent deposit game possesses a core element. Capital dependent deposit games are also shown to have a core element and even a population monotonic allocation scheme if the revenue function exhibits increasing returns to scale. Furthermore, it is shown that all superadditive games are deposit games if one allows for debt.

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Publisher Info
Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2007-22.

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Date of creation: 2007
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Handle: RePEc:dgr:kubcen:200722

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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References listed on IDEAS
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  1. Josep Maria Izquierdo Aznar & Carlos Rafels Pallarola, 1996. "A generalization of the bankruptcy game: financial cooperative games," Working Papers in Economics 9, Universitat de Barcelona. Espai de Recerca en Economia.
  2. Borm, P. & De Waegenaere, A. & Rafels, C., 1999. "Cooperation in capital deposits," Discussion Paper 31, Tilburg University, Center for Economic Research. [Downloadable!]
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This page was last updated on 2009-11-25.


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