@techreport{4bd3bd05b4ba454c8e6a1d835c68161a,
title = "Core Representations of the Standard Fixed Tree Game",
abstract = "This paper discusses the core of the game corresponding to the standard fixed tree problem. We introduce the concept of a weighted constrained egalitarian solution. The core of the standard fixed tree game equals the set of all weighted constrained egalitarian solutions. The notion of home-down allocation is developed to create further insight in the local behavior of the weighted constrained egalitarian allocation. A similar and dual approach by the notion of down-home allocations gives us the class of weighted Shapley values. The constrained egalitarian solution is characterized in terms of a cost sharing mechanism.",
keywords = "Cooperative game theory, tree games, core, weighted constrained egalitarian solution",
author = "M.A.L. Koster and E. Molina and Y. Sprumont and S.H. Tijs",
note = "Pagination: 27",
year = "1998",
language = "English",
volume = "1998-21",
series = "CentER Discussion Paper",
publisher = "Microeconomics",
type = "WorkingPaper",
institution = "Microeconomics",
}