Asymptotic Properties of Solutions of a Closed Economic System Modelled as a Cooperative Game Without Side Payments

1983 ◽  
Vol 16 (12) ◽  
pp. 521-526
Author(s):  
E. Stapp
Keyword(s):  
Economic System ◽  
Cooperative Game ◽  
Asymptotic Properties ◽  
Side Payments

scholarly journals The core and superdifferential of a fuzzy TU-cooperative game

2020 ◽  
Vol 12 (2) ◽  
pp. 20-35
Author(s):  
Валерий Александрович Васильев ◽  
Valery Vasil'ev
Keyword(s):  
Cooperative Game ◽  
Cooperative Games ◽  
Sufficient Conditions ◽  
Subdifferential Calculus ◽  
The Core ◽  
Side Payments ◽  
Weak Homogeneity ◽  
Fuzzy Game

In the paper, we consider conditions providing coincidence of the cores and superdifferentials of fuzzy cooperative games with side payments. It turned out that one of the most simple sufficient conditions consists of weak homogeneity. Moreover, by applying so-called S*-representation of a fuzzy game introduced by the author, we show that for any vwith nonempty core C(v) there exists some game u such that C(v) coincides with the superdifferential of u. By applying subdifferential calculus we describe a structure of the core forboth classic fuzzy extensions of the ordinary cooperative game (e.g., Aubin and Owen extensions) and for some new continuations, like Harsanyi extensions and generalized Airport game.

The core of a cooperative game without side payments

1987 ◽  
Vol 54 (2) ◽  
pp. 273-288 ◽  
Author(s):  
H. Keiding ◽  
L. Thorlund-Petersen
Keyword(s):  
Cooperative Game ◽  
The Core ◽  
Side Payments
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