<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Some relations between finite geometric spaces and cooperative games are considered. The games associated to Steiner systems, in particular projective and affine planes, are considered. The properties of winning and blocking coalitions are investigated.</p></abstract>

Some relations between finite geometric spaces and cooperative games are considered. The games associated to Steiner systems, in particular projective and affine planes, are considered. The properties of winning and blocking coalitions are investigated.

Finite Geometric Spaces, Steiner Systems and Cooperative Games

Department of Humanities, Arts and Social Science, University G. D'Annunzio of Chieti-Pescara, Via dei Vestini, 31, 66100 Chieti, Italy.

Department of Quantitative-Economic and Philosophical-Educational Science, University G. D'Annunzio of Chieti-Pescara, Viale Pindaro, 42, 65100 Pescara, Italy.

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Finite Geometric Spaces, Steiner Systems and Cooperative Games"}

Some relations between finite geometric spaces and cooperative games are considered. The games associated to Steiner systems, in particular projective and...

Finite Geometric Spaces, Steiner Systems and Cooperative Games

Published Online: Dec 10, 2014

Page range: 189 - 205

Received: Sep 01, 2013

Accepted: Nov 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0015

Keywords
Finite geometries, cooperative games, blocking coalitions, Steiner systems

© 2014 Antonio Maturo and Fabrizio Maturo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Finite Geometric Spaces, Steiner Systems and Cooperative Games

Published Online: Dec 10, 2014

Page range: 189 - 205

Received: Sep 01, 2013

Accepted: Nov 01, 2013

DOI: https://doi.org/10.2478/auom-2014-0015

KeywordsFinite geometries, cooperative games, blocking coalitions, Steiner systems

© 2014 Antonio Maturo and Fabrizio Maturo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Finite geometries, cooperative games, blocking coalitions, Steiner systems