Deposit Games with Reinvestment

Research output: Working paperDiscussion paperOther research output

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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.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages21
Volume2007-22
Publication statusPublished - 2007

Publication series

NameCentER Discussion Paper
Volume2007-22

Fingerprint

Deposits
Increasing returns to scale
Population monotonic allocation schemes
Debt
Revenue

Keywords

  • cooperative game theory
  • deposit games
  • core elements
  • population monotonic allo- cation schemes
  • superadditive games

Cite this

van Gulick, G., Borm, P. E. M., De Waegenaere, A. M. B., & Hendrickx, R. L. P. (2007). Deposit Games with Reinvestment. (CentER Discussion Paper; Vol. 2007-22). Tilburg: Operations research.
van Gulick, G. ; Borm, P.E.M. ; De Waegenaere, A.M.B. ; Hendrickx, R.L.P. / Deposit Games with Reinvestment. Tilburg : Operations research, 2007. (CentER Discussion Paper).
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van Gulick, G, Borm, PEM, De Waegenaere, AMB & Hendrickx, RLP 2007 'Deposit Games with Reinvestment' CentER Discussion Paper, vol. 2007-22, Operations research, Tilburg.

Deposit Games with Reinvestment. / van Gulick, G.; Borm, P.E.M.; De Waegenaere, A.M.B.; Hendrickx, R.L.P.

Tilburg : Operations research, 2007. (CentER Discussion Paper; Vol. 2007-22).

Research output: Working paperDiscussion paperOther research output

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T1 - Deposit Games with Reinvestment

AU - van Gulick, G.

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KW - cooperative game theory

KW - deposit games

KW - core elements

KW - population monotonic allo- cation schemes

KW - superadditive games

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van Gulick G, Borm PEM, De Waegenaere AMB, Hendrickx RLP. Deposit Games with Reinvestment. Tilburg: Operations research. 2007. (CentER Discussion Paper).