Decomposition of games: some strategic considerations

Joseph Abdou, Nikolaos Pnevmatikos (), Marco Scarsini and Xavier Venel
Additional contact information
Nikolaos Pnevmatikos: LEMMA - Laboratoire d'économie mathématique et de microéconomie appliquée - UP2 - Université Panthéon-Assas

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: Candogan et al. (2011) provide an orthogonal direct-sum decomposition of finite games into potential, harmonic and non-strategic components. In this paper we study the issue of decomposing games that are strategically equivalent from a game-theoretical point of view, for instance games obtained via duplications of strategies or suitable linear transformations of payoffs. We consider classes of decompositions and show when two decompositions of equivalent games are coherent.

Keywords: Decomposition of games; Potential games; Harmonic games; Duplicate strategies; Gradient operator; Projection operator; Décomposition de jeux; Jeux potentiels; Jeux harmoniques; Stratégies dupliquées; Opérateur gradient; Opérateur de projection (search for similar items in EconPapers)
Date: 2019-02
New Economics Papers: this item is included in nep-gth and nep-mic
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-02079215v1
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Published in 2019

Downloads: (external link)
https://shs.hal.science/halshs-02079215v1/document (application/pdf)

Related works:
Journal Article: Decomposition of Games: Some Strategic Considerations (2022)
Working Paper: Decomposition of Games: Some Strategic Considerations (2022)
Working Paper: Decomposition of Games: Some Strategic Considerations (2022)
Working Paper: Decomposition of games: some strategic considerations (2019)
Working Paper: Decomposition of games: some strategic considerations (2019)
Working Paper: Decomposition of games: some strategic considerations (2019)
Working Paper: Decomposition of games: some strategic considerations (2019)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-02079215

Access Statistics for this paper

More papers in Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL
Bibliographic data for series maintained by CCSD ().