A Geometric Characterisation of the Compromise Value

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Abstract

In this paper, we characterise the compromise value of a game as the barycentre of the edges of its core cover.For this, we introduce the value, which extends the adjusted proportional rule for bankruptcy situations and coincides with the compromise value on a large class of games.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages24
Volume2003-88
Publication statusPublished - 2003

Publication series

NameCentER Discussion Paper
Volume2003-88

Fingerprint

Game
Bankruptcy
Barycentre
Directly proportional
Cover
Class

Keywords

  • geometry
  • games
  • bankruptcy
  • core

Cite this

Borm, P. E. M., Hendrickx, R. L. P., Quant, M., & Gonzalez-Diaz, J. (2003). A Geometric Characterisation of the Compromise Value. (CentER Discussion Paper; Vol. 2003-88). Tilburg: Operations research.
Borm, P.E.M. ; Hendrickx, R.L.P. ; Quant, M. ; Gonzalez-Diaz, J. / A Geometric Characterisation of the Compromise Value. Tilburg : Operations research, 2003. (CentER Discussion Paper).
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Borm, PEM, Hendrickx, RLP, Quant, M & Gonzalez-Diaz, J 2003 'A Geometric Characterisation of the Compromise Value' CentER Discussion Paper, vol. 2003-88, Operations research, Tilburg.

A Geometric Characterisation of the Compromise Value. / Borm, P.E.M.; Hendrickx, R.L.P.; Quant, M.; Gonzalez-Diaz, J.

Tilburg : Operations research, 2003. (CentER Discussion Paper; Vol. 2003-88).

Research output: Working paperDiscussion paperOther research output

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Borm PEM, Hendrickx RLP, Quant M, Gonzalez-Diaz J. A Geometric Characterisation of the Compromise Value. Tilburg: Operations research. 2003. (CentER Discussion Paper).