Bankruptcy games with nontransferable utility

Bas Dietzenbacher

Research output: Contribution to journalArticleScientificpeer-review

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 anNTU-bankruptcy rule to be game theoretic.
LanguageEnglish
Pages16-21
JournalMathematical Social Sciences
Volume92
DOIs
StatePublished - Mar 2018

Fingerprint

Bankruptcy
bankruptcy
Game
NTU Games
compromise
Non-transferable utility
Cover
Necessary Conditions
Sufficient Conditions

Cite this

Dietzenbacher, Bas. / Bankruptcy games with nontransferable utility. In: Mathematical Social Sciences. 2018 ; Vol. 92. pp. 16-21
@article{a59d347e25004833bf5ec6af834a4dee,
title = "Bankruptcy games with nontransferable utility",
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 anNTU-bankruptcy rule to be game theoretic.",
author = "Bas Dietzenbacher",
year = "2018",
month = "3",
doi = "10.1016/j.mathsocsci.2017.12.003",
language = "English",
volume = "92",
pages = "16--21",
journal = "Mathematical Social Sciences",
issn = "0165-4896",
publisher = "Elsevier",

}

Bankruptcy games with nontransferable utility. / Dietzenbacher, Bas.

In: Mathematical Social Sciences, Vol. 92, 03.2018, p. 16-21.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Bankruptcy games with nontransferable utility

AU - Dietzenbacher,Bas

PY - 2018/3

Y1 - 2018/3

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 anNTU-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 anNTU-bankruptcy rule to be game theoretic.

U2 - 10.1016/j.mathsocsci.2017.12.003

DO - 10.1016/j.mathsocsci.2017.12.003

M3 - Article

VL - 92

SP - 16

EP - 21

JO - Mathematical Social Sciences

T2 - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

ER -