Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2011-12-22 Number: 11-182/1 Author-Name: Encarnacion Algaba Author-Workplace-Name: University of Seville Author-Name: Jesus Mario Bilbao Author-Workplace-Name: University of Seville Author-Name: Rene van den Brink Author-Workplace-Name: VU University Amsterdam Title: Harsanyi Power Solutions for Games on Union Stable Systems Abstract: This discussion paper resulted in a publication in Annals of Operations Research , 2015, 225, 27-44.

This paper analyzes Harsanyi power solutions for cooperative games in which partial cooperation is based on union stable systems. These structures contain as particular cases the widely studied communication graph games and permission structures, among others. In this context, we provide axiomatic characterizations of the Harsanyi power solutions which distribute the Harsanyi dividends proportional to weights determined by a power measure for union stable systems. Moreover, the well-known Myerson value is exactly the Harsanyi power solution for the equal power measure, and on a special subclass of union stable systems the position value coincides with the Harsanyi power solution obtained for the influence power measure. Classification-JEL: C71 Keywords: Cooperative TU-game, Union stable system, Harsanyi dividend, Power measure, Harsanyi power solution, Myerson value, Position value File-Url: https://papers.tinbergen.nl/11182.pdf File-Format: application/pdf File-Size: 282080 bytes Handle: RePEc:tin:wpaper:20110182