Error message

Deprecated function: Array and string offset access syntax with curly braces is deprecated in include_once() (line 20 of /mnt/web104/a0/07/510451407/htdocs/includes/file.phar.inc).

A concise axiomatization of a Shapley-type value for stochastic coalition processes

Printer-friendly version
Working paper
Author/s: 
Ulrich Faigle, Michel Grabisch
Issue number: 
2013.52
Publisher: 
Centre d’Economie de la Sorbonne
Year: 
2013
The Shapley value is defined as the average marginal contribution of a player, taken over all possible ways to form the grand coalition N when one starts from the empty coalition and adds players one by one. In a previous paper, the authors have introduced an allocation scheme for a general model of coalition formation where the evolution of the coalition of active players is ruled by a Markov chain and need not finish with the grand coalition. This note provides an axiomatization which is weaker than the one in the original paper but allows a much more transparent correctness proof. Moreover, the logical independence of the axioms is proved.
Developed by Paolo Gittoi