Deposit games with reinvestment

Research output: Contribution to journalArticleScientificpeer-review

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. These subclasses provide insight in two extreme cases. 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
Pages (from-to)788-799
JournalEuropean Journal of Operational Research
Volume200
Issue number3
Publication statusPublished - 2010

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Deposits
Game
Returns to Scale
Dependent
Coalitions
Monotonic
Extremes
Term
Model

Cite this

@article{f18b6381e4e546cdb68172c962ede02b,
title = "Deposit games with reinvestment",
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. These subclasses provide insight in two extreme cases. 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.",
author = "{van Gulick}, G. and P.E.M. Borm and {De Waegenaere}, A.M.B. and R.L.P. Hendrickx",
note = "Appeared earlier as CentER Discussion Paper 2007-22",
year = "2010",
language = "English",
volume = "200",
pages = "788--799",
journal = "European Journal of Operational Research",
issn = "0377-2217",
publisher = "Elsevier Science BV",
number = "3",

}

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

In: European Journal of Operational Research, Vol. 200, No. 3, 2010, p. 788-799.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Deposit games with reinvestment

AU - van Gulick, G.

AU - Borm, P.E.M.

AU - De Waegenaere, A.M.B.

AU - Hendrickx, R.L.P.

N1 - Appeared earlier as CentER Discussion Paper 2007-22

PY - 2010

Y1 - 2010

N2 - 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. These subclasses provide insight in two extreme cases. 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.

AB - 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. These subclasses provide insight in two extreme cases. 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.

M3 - Article

VL - 200

SP - 788

EP - 799

JO - European Journal of Operational Research

JF - European Journal of Operational Research

SN - 0377-2217

IS - 3

ER -