scholarly journals Solidarity induced by group contributions: the MI$$^k$$-value  for transferable utility games

2020 ◽  
Author(s):  
Surajit Borkotokey ◽  
Loyimee Gogoi ◽  
Dhrubajit Choudhury ◽  
Rajnish Kumar
Keyword(s):  
Transferable Utility ◽  
Group Contributions ◽  
K Value ◽  
Transferable Utility Games

scholarly journals THE POSITIVE PREKERNEL OF A COOPERATIVE GAME

2000 ◽  
Vol 02 (04) ◽  
pp. 287-305 ◽  
Author(s):  
PETER SUDHÖLTER ◽  
BEZALEL PELEG
Keyword(s):  
Cooperative Game ◽  
Weak Version ◽  
Transferable Utility ◽  
Bargaining Set ◽  
The Core ◽  
Reduced Game ◽  
Positive Kernel ◽  
Game Property ◽  
Transferable Utility Games

The positive prekernel, a solution of cooperative transferable utility games, is introduced. We show that this solution inherits many properties of the prekernel and of the core, which are both sub-solutions. It coincides with its individually rational variant, the positive kernel, when applied to any zero-monotonic game. The positive (pre)kernel is a sub-solution of the reactive (pre)bargaining set. We prove that the positive prekernel on the set of games with players belonging to a universe of at least three possible members can be axiomatized by non-emptiness, anonymity, reasonableness, the weak reduced game property, the converse reduced game property, and a weak version of unanimity for two-person games.

scholarly journals Axiomatic results and dynamic processes for two weighted indexes under fuzzy transferable-utility behavior

2022 ◽  
Vol 12 (1) ◽  
pp. 1
Author(s):  
Yu-Hsien Liao
Keyword(s):  
Dynamic Processes ◽  
Excess Functions ◽  
Transferable Utility ◽  
Transferable Utility Games

<p style='text-indent:20px;'>By considering the supreme-utilities and the weights simultaneously under fuzzy behavior, we propose two indexes on fuzzy transferable-utility games. In order to present the rationality for these two indexes, we define extended reductions to offer several axiomatic results and dynamics processes. Based on different consideration, we also adopt excess functions to propose alternative formulations and related dynamic processes for these two indexes respectively.</p>

scholarly journals The socially stable core in structured transferable utility games

2007 ◽  
Vol 59 (1) ◽  
pp. 85-104 ◽  
Author(s):  
P. Jean-Jacques Herings ◽  
Gerard van der Laan ◽  
Dolf Talman
Keyword(s):  
Transferable Utility ◽  
Stable Core ◽  
Transferable Utility Games

The Family of Least Square Values for Transferable Utility Games

1998 ◽  
Vol 24 (1-2) ◽  
pp. 109-130 ◽  
Author(s):  
Luis M. Ruiz ◽  
Federico Valenciano ◽  
Jose M. Zarzuelo
Keyword(s):  
Least Square ◽  
Transferable Utility ◽  
The Family ◽  
Transferable Utility Games ◽  
Least Square Values
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