Bankruptcy Games with Nontransferable Utility

Bas Dietzenbacher

Research output: Working paperDiscussion paperOther research output

Abstract

This paper analyzes bankruptcy games with nontransferable utility as a generalization of bankruptcy games with monetary payoffs. Following the game theoretic approach to NTU-bankruptcy problems, we study some appropriate properties and the core of NTU-bankruptcy games. Generalizing the core cover and the reasonable set to the class of NTU-games, we show that NTU-bankruptcy games are compromise stable and reasonable stable. Moreover, we derive a necessary and sufficient condition for an NTU-bankruptcy rule to be game theoretic.
LanguageEnglish
Place of PublicationTilburg
PublisherCentER, Center for Economic Research
Number of pages14
Volume2017-005
StatePublished - 1 Feb 2017

Publication series

NameCentER Discussion Paper
Volume2017-005

Fingerprint

Non-transferable utility
Bankruptcy
NTU games
Compromise
Bankruptcy problems

Keywords

  • NTU-bankruptcy problem,
  • NTU-bankruptcy game,
  • compromise stability,
  • reasonable stability
  • game theoretic bankruptcy rule

Cite this

Dietzenbacher, B. (2017). Bankruptcy Games with Nontransferable Utility. (CentER Discussion Paper; Vol. 2017-005). Tilburg: CentER, Center for Economic Research.
Dietzenbacher, Bas. / Bankruptcy Games with Nontransferable Utility. Tilburg : CentER, Center for Economic Research, 2017. (CentER Discussion Paper).
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Dietzenbacher, B 2017 'Bankruptcy Games with Nontransferable Utility' CentER Discussion Paper, vol. 2017-005, CentER, Center for Economic Research, Tilburg.

Bankruptcy Games with Nontransferable Utility. / Dietzenbacher, Bas.

Tilburg : CentER, Center for Economic Research, 2017. (CentER Discussion Paper; Vol. 2017-005).

Research output: Working paperDiscussion paperOther research output

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N2 - This paper analyzes bankruptcy games with nontransferable utility as a generalization of bankruptcy games with monetary payoffs. Following the game theoretic approach to NTU-bankruptcy problems, we study some appropriate properties and the core of NTU-bankruptcy games. Generalizing the core cover and the reasonable set to the class of NTU-games, we show that NTU-bankruptcy games are compromise stable and reasonable stable. Moreover, we derive a necessary and sufficient condition for an NTU-bankruptcy rule to be game theoretic.

AB - This paper analyzes bankruptcy games with nontransferable utility as a generalization of bankruptcy games with monetary payoffs. Following the game theoretic approach to NTU-bankruptcy problems, we study some appropriate properties and the core of NTU-bankruptcy games. Generalizing the core cover and the reasonable set to the class of NTU-games, we show that NTU-bankruptcy games are compromise stable and reasonable stable. Moreover, we derive a necessary and sufficient condition for an NTU-bankruptcy rule to be game theoretic.

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Dietzenbacher B. Bankruptcy Games with Nontransferable Utility. Tilburg: CentER, Center for Economic Research. 2017 Feb 1, (CentER Discussion Paper).