SanchezPerez, Joss (2015): A decomposition for the space of games with externalities.

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Abstract
The main goal of this paper is to present a different perspective than the more `traditional' approaches to study solutions for games with externalities. We provide a direct sum decomposition for the vector space of these games and use the basic representation theory of the symmetric group to study linear symmetric solutions. In our analysis we identify all irreducible subspaces that are relevant to the study of linear symmetric solutions and we then use such decomposition to derive some applications involving characterizations of classes of solutions.
Item Type:  MPRA Paper 

Original Title:  A decomposition for the space of games with externalities 
English Title:  A decomposition for the space of games with externalities 
Language:  English 
Keywords:  Games with externalities; value; representation theory; symmetric group. 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60  General C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65  Miscellaneous Mathematical Tools C  Mathematical and Quantitative Methods > C7  Game Theory and Bargaining Theory > C71  Cooperative Games 
Item ID:  67932 
Depositing User:  Joss Erick SanchezPerez 
Date Deposited:  20 Nov 2015 01:42 
Last Modified:  08 Oct 2019 16:28 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/67932 