Template-Type: ReDIF-Paper 1.0
Series: Tinbergen Institute Discussion Papers
Creation-Date: 2002-10-21
Number: 02-105/1
Author-Name: Jean Derks
Author-Email: jean.derks@math.unimaas.nl
Author-Workplace-Name: Universiteit Maastricht
Author-Name: Gerard van der Laan
Author-Email: glaan@econ.vu.nl
Author-Workplace-Name: Faculty of Economics and Business Administration, Vrije Universiteit Amsterdam
Author-Name: Valeri Vasil'ev
Author-Email: vasilev@math.nsc.ru
Author-Workplace-Name: Sobolev Institute of Mathematics, Russia
Title: On Harsanyi Payoff Vectors and the Weber Set
Abstract: The paper discusses the set of Harsanyi payoff vectors,also known as the Selectope. First, we reconsider some results on Harsanyi payoff vectors, published by Vasil'ev in the late 1970's, within a more general framework. In particular, these results state already that the set of Harsanyi payoff vectors is given by the core of an associated convex game, a result that recently has been proven by Derks et. al.(2000).   The marginal contribution vectors are examples of Harsanyi payoff vectors so that the Weber set, being the convex hull of the marginal contribution vectors, is a subset of the Harsanyi set, which denotes the set of Harsanyi payoff vectors. We provide two characterizations of those Harsanyi payoff vectors that are elements of the Weber set.
Classification-JEL: C71.
Keywords: TU-games; Core; Harsanyi set; Weber set; Selectope.
File-Url: https://papers.tinbergen.nl/02105.pdf
File-Format: application/pdf
File-Size: 674780 bytes
Handle: RePEc:tin:wpaper:20020105