Geodesic
On uniqueness of coalitional equilibria
Contributions to game theory and management, Tome 7 (2014), pp. 51-60

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For the so-called ‘new approach’ of coalition formation it is important that coalitional equilibria are unique. Uniqueness comes down to existence and to semi-uniqueness, i.e. there exists at most one equilibrium. Although conditions for existence are not problematic, conditions for semi-uniqueness are. We provide semi-uniqueness conditions by deriving a new equilibrium semi-uniqueness result for games in strategic form with higher dimensional action sets. The result applies in particular to Cournot-like games.
Keywords: Coalition formation, Cournot oligopoly, equilibrium (semi-)uniqueness, game in strategic form, public good. 
@article{CGTM_2014_7_a5,
     author = {Michael Finus and Pierre von Mouche and Bianca Rundshagen},
     title = {On uniqueness of coalitional equilibria},
     journal = {Contributions to game theory and management},
     pages = {51--60},
     publisher = {mathdoc},
     volume = {7},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2014_7_a5/}
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Michael Finus; Pierre von Mouche; Bianca Rundshagen. On uniqueness of coalitional equilibria. Contributions to game theory and management, Tome 7 (2014), pp. 51-60. http://geodesic.mathdoc.fr/item/CGTM_2014_7_a5/