scholarly journals Convex Games versus Clan Games

Author(s):  
Rodica Branzei ◽  
Dinko Dimitrov ◽  
Stef H. Tijs
Keyword(s):  
2008 ◽  
Vol 10 (04) ◽  
pp. 363-372
Author(s):  
RODICA BRANZEI ◽  
DINKO DIMITROV ◽  
STEF TIJS

In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a "dualize and restrict" procedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each monotonic convex game generates a total clan game with zero worth for the clan by a "dualize and extend" procedure. These procedures are also useful for relating core elements and elements of the Weber set of the corresponding games.


2012 ◽  
Vol 225 (1) ◽  
pp. 83-89
Author(s):  
Jesús Getán ◽  
Josep M. Izquierdo ◽  
Jesús Montes ◽  
Carles Rafels

2019 ◽  
Vol 64 (4) ◽  
pp. 1426-1439 ◽  
Author(s):  
Tatiana Tatarenko ◽  
Maryam Kamgarpour

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

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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