Relationships between bankruptcy games and minimum cost spanning tree games

Theo S.H. Driessen

doi:10.1007/978-3-662-12629-5_113

Relationships between bankruptcy games and minimum cost spanning tree games

Theo S.H. Driessen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

The cost allocation problem of setting charges to the users in a given network is considered with the aid of minimum cost spanning trees in the network. In addition, the bankruptcy problem of dividing the estate of the bankrupt concern among the various creditors according to their claims is treated. The paper aims to establish that, under certain circumstances, the bankruptcy problem can be seen as a minimum cost spanning tree allocation problem. In the game theoretic setting, the paper provides the conditions on the estate and the claims which are sufficient and necessary for the representation of bankruptcy games as minimum cost spanning tree games.

Original language	English
Title of host publication	Operations Research ’92
Subtitle of host publication	Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992
Editors	Alexander Karmann, Karl Mosler, Martin Schader, Götz Uebe
Place of Publication	Heidelberg
Publisher	Springer
Pages	410-412
Number of pages	3
ISBN (Electronic)	978-3-662-12629-5
ISBN (Print)	978-3-7908-0679-3
DOIs	https://doi.org/10.1007/978-3-662-12629-5_113
Publication status	Published - 18 Jan 1993

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Driessen, T. S. H. (1993). Relationships between bankruptcy games and minimum cost spanning tree games. In A. Karmann, K. Mosler, M. Schader, & G. Uebe (Eds.), Operations Research ’92: Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992 (pp. 410-412). Springer. https://doi.org/10.1007/978-3-662-12629-5_113

Driessen, Theo S.H. / Relationships between bankruptcy games and minimum cost spanning tree games. Operations Research ’92: Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992. editor / Alexander Karmann ; Karl Mosler ; Martin Schader ; Götz Uebe. Heidelberg : Springer, 1993. pp. 410-412

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Driessen, TSH 1993, Relationships between bankruptcy games and minimum cost spanning tree games. in A Karmann, K Mosler, M Schader & G Uebe (eds), Operations Research ’92: Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992. Springer, Heidelberg, pp. 410-412. https://doi.org/10.1007/978-3-662-12629-5_113

Relationships between bankruptcy games and minimum cost spanning tree games. / Driessen, Theo S.H.
Operations Research ’92: Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992. ed. / Alexander Karmann; Karl Mosler; Martin Schader; Götz Uebe. Heidelberg: Springer, 1993. p. 410-412.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - The cost allocation problem of setting charges to the users in a given network is considered with the aid of minimum cost spanning trees in the network. In addition, the bankruptcy problem of dividing the estate of the bankrupt concern among the various creditors according to their claims is treated. The paper aims to establish that, under certain circumstances, the bankruptcy problem can be seen as a minimum cost spanning tree allocation problem. In the game theoretic setting, the paper provides the conditions on the estate and the claims which are sufficient and necessary for the representation of bankruptcy games as minimum cost spanning tree games.

AB - The cost allocation problem of setting charges to the users in a given network is considered with the aid of minimum cost spanning trees in the network. In addition, the bankruptcy problem of dividing the estate of the bankrupt concern among the various creditors according to their claims is treated. The paper aims to establish that, under certain circumstances, the bankruptcy problem can be seen as a minimum cost spanning tree allocation problem. In the game theoretic setting, the paper provides the conditions on the estate and the claims which are sufficient and necessary for the representation of bankruptcy games as minimum cost spanning tree games.

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A2 - Schader, Martin

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Driessen TSH. Relationships between bankruptcy games and minimum cost spanning tree games. In Karmann A, Mosler K, Schader M, Uebe G, editors, Operations Research ’92: Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992. Heidelberg: Springer. 1993. p. 410-412 doi: 10.1007/978-3-662-12629-5_113

Relationships between bankruptcy games and minimum cost spanning tree games

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