The sigma-core of convex games and the problem of measure extension

1990 ◽  
Vol 66 (1) ◽  
pp. 97-108 ◽  
Author(s):  
Jürgen Kindler
Keyword(s):  
Convex Games ◽  
Measure Extension

scholarly journals On Negligible and Absolutely Nonmeasurable Subsets of the Euclidean Plane

2004 ◽  
Vol 11 (3) ◽  
pp. 479-487
Author(s):  
A. Kharazishvili
Keyword(s):  
Euclidean Plane ◽  
Identity Transformation ◽  
Extension Problem ◽  
Measure Extension ◽  
Nonmeasurable Set

Abstract The notions of a negligible set and of an absolutely nonmeasurable set are introduced and discussed in connection with the measure extension problem. In particular, it is demonstrated that there exist subsets of the plane 𝐑2 which are 𝑇2-negligible and, simultaneously, 𝐺-absolutely nonmeasurable. Here 𝑇2 denotes the group of all translations of 𝐑2 and 𝐺 denotes the group generated by {𝑔} ∪ 𝑇2, where 𝑔 is an arbitrary rotation of 𝐑2 distinct from the identity transformation and all central symmetries of 𝐑2.

scholarly journals The bargaining set for almost-convex games

2012 ◽  
Vol 225 (1) ◽  
pp. 83-89
Author(s):  
Jesús Getán ◽  
Josep M. Izquierdo ◽  
Jesús Montes ◽  
Carles Rafels
Keyword(s):  
Convex Games ◽  
Bargaining Set ◽  
Almost Convex

scholarly journals Learning Generalized Nash Equilibria in a Class of Convex Games

2019 ◽  
Vol 64 (4) ◽  
pp. 1426-1439 ◽  
Author(s):  
Tatiana Tatarenko ◽  
Maryam Kamgarpour
Keyword(s):  
Nash Equilibria ◽  
Convex Games ◽  
Generalized Nash Equilibria

A NOTE ON CLOSEDNESS UNDER MOULIN REDUCTION

2004 ◽  
Vol 06 (04) ◽  
pp. 555-559
Author(s):  
YAN-AN HWANG
Keyword(s):  
Convex Games ◽  
Reduced Games

We will find 3 maximal subclasses with respect to essential, superadditive and convex games, respectively such that a game is in one subclass, so are its reduced games.

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