@techreport{1fdbd930b6614f87b28951d50ad9a560,
title = "Nontransferable Utility Bankruptcy Games",
abstract = "In this paper, we analyze bankruptcy problems with nontransferable utility (NTU) from a game theoretical perspective by redefining corresponding NTU-bankruptcy games in a tailor-made way. It is shown that NTU-bankruptcy games are both coalitional merge convex and ordinal convex. Generalizing the notions of core cover and compromise stability for transferable utility (TU) games to NTU-games, we also show that each NTU-bankruptcy game is compromise stable. Thus, NTU-bankruptcy games are shown to retain the two characterizing properties of TU-bankruptcy games: convexity and compromise stability. As a first example of a game theoretical NTU-bankruptcy rule, we analyze the NTU-adjusted proportional rule and show that this rule corresponds to the compromise value of NTU-bankruptcy games.",
keywords = "NTU , bankruptcy problem, NTU bankruptcy games, Coalitional merge convexity, Ordinal convexity",
author = "A. Estevez and P.E.M. Borm and G. Fiestras-Janeiro",
year = "2014",
month = dec,
day = "1",
language = "English",
volume = "TI 2014-030/II",
series = "Tinbergen Institute Discussion Paper",
publisher = "Tinbergen Institute",
pages = "1--24",
type = "WorkingPaper",
institution = "Tinbergen Institute",
}