Separable Games

1969 ◽  
Vol 14 (2) ◽  
pp. 121-132 ◽  
Author(s):  
Henry Hamburger
Keyword(s):  
Separable Games

The associated maximization problem for separable games

1973 ◽  
Vol 5 (1) ◽  
pp. 374-380 ◽  
Author(s):  
L. C. Westphal ◽  
A. R. Stubberud
Keyword(s):  
Maximization Problem ◽  
Separable Games

scholarly journals Folk theorems in a class of additively separable games

2018 ◽  
Vol 92 ◽  
pp. 10-15
Author(s):  
Flavio Delbono ◽  
Luca Lambertini
Keyword(s):  
Folk Theorems ◽  
Separable Games

scholarly journals Robustness against Agent Failure in Hedonic Games

2019 ◽  
Author(s):  
Ayumi Igarashi ◽  
Kazunori Ota ◽  
Yuko Sakurai ◽  
Makoto Yokoo
Keyword(s):  
Single Agent ◽  
Individual Rationality ◽  
Stability Properties ◽  
Hedonic Games ◽  
Separable Games ◽  
Positive Results ◽  
Stable Outcome

We study how stability can be maintained even after any set of at most k players leave their groups, in the context of hedonic games. While stability properties ensure an outcome to be robust against players' deviations, it has not been considered how an unexpected change caused by a sudden deletion of players affects stable outcomes. In this paper we propose a novel criterion that reshapes stability form robustness aspect. We observe that some stability properties can be no longer preserved even when a single agent is removed. However, we obtain positive results by focusing on symmetric friend-oriented hedonic games. We prove that we can efficiently decide the existence of robust outcomes with respect to Nash stability underdeletion of any number of players or contractual individual stability under deletion of a single player. We also prove that symmetric additively separable games always admit an individual stable outcome that is robust with respect to individual rationality.

scholarly journals A note on polynomial and separable games

1958 ◽  
Vol 8 (4) ◽  
pp. 735-741 ◽  
Author(s):  
David Gale ◽  
Oliver Gross
Keyword(s):  
Separable Games
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