Abstract
| Original language | English |
|---|---|
| Place of Publication | Tilburg |
| Publisher | Operations research |
| Number of pages | 21 |
| Volume | 2007-22 |
| Publication status | Published - 2007 |
Publication series
| Name | CentER Discussion Paper |
|---|---|
| Volume | 2007-22 |
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Keywords
- cooperative game theory
- deposit games
- core elements
- population monotonic allo- cation schemes
- superadditive games
Cite this
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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 paper › Discussion paper › Other research output
TY - UNPB
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 - Subsequently published in European Journal of Operational Research, 2010 Pagination: 21
PY - 2007
Y1 - 2007
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. 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. 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.
KW - cooperative game theory
KW - deposit games
KW - core elements
KW - population monotonic allo- cation schemes
KW - superadditive games
M3 - Discussion paper
VL - 2007-22
T3 - CentER Discussion Paper
BT - Deposit Games with Reinvestment
PB - Operations research
CY - Tilburg
ER -