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Faigle, Ulrich and Voss, Jan (2011). A system-theoretic model for cooperation, interaction and allocation. Discret Appl. Math., 159 (16). S. 1736 - 1751. AMSTERDAM: ELSEVIER SCIENCE BV. ISSN 1872-6771

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Abstract

A system-theoretic approach to cooperation, interaction and allocation is presented that simplifies, unifies and extends the results on classical cooperative games and their generalizations. In particular, a general Weber theory of linear values is obtained and a new theory for local cooperation and general interaction indices is established. The model is dynamic and based on the notion of states of cooperation that change under actions of agents. Careful distinction between local states of cooperation and general system states leads to a notion of entropy for arbitrary non-negative and efficient allocations and thus to a new information-theoretic criterion for fairness of allocation mechanisms. Shapley allocations, for instance, are exhibited as arising from random walks with maximal entropy. For a large class of cooperation systems, a characterization of game symmetries in terms of A-values is given. A concept for cores and Weber sets is proposed and it is shown that a Weber set of a game with selection structure always contains the core. (C) 2010 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Faigle, Ulrich UNSPECIFIED UNSPECIFIED UNSPECIFIED Voss, Jan UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-488791
DOI:	10.1016/j.dam.2010.07.007
Journal or Publication Title:	Discret Appl. Math.
Volume:	159
Number:	16
Page Range:	S. 1736 - 1751
Date:	2011
Publisher:	ELSEVIER SCIENCE BV
Place of Publication:	AMSTERDAM
ISSN:	1872-6771
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language SHAPLEY VALUE; CONVEX GEOMETRIES; CHOICE FUNCTIONS; GAMES; CORE; CONSTRAINTS; VALUES; SET Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48879