Gale's feasibility theorem on network flows and a bargaining set for cooperative TU games

1994 ◽  
pp. 287-297
Author(s):  
Irinel Dragan
Keyword(s):  
Network Flows ◽  
Bargaining Set ◽  
Tu Games ◽  
Cooperative Tu Games

A NOTE ON CHARACTERIZING CORE STABILITY WITH FUZZY GAMES

2011 ◽  
Vol 13 (01) ◽  
pp. 105-118 ◽  
Author(s):  
EVAN SHELLSHEAR
Keyword(s):  
Cooperative Game ◽  
Core Stability ◽  
Original Game ◽  
Tu Games ◽  
The Core ◽  
Cooperative Tu Games ◽  
Fuzzy Games ◽  
The Stability

This paper investigates core stability of cooperative (TU) games via a fuzzy extension of the totally balanced cover of a cooperative game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence of an equilibrium of a certain correspondence.

ON BARGAINING SETS IN SYMMETRIC GAMES

2007 ◽  
Vol 09 (02) ◽  
pp. 199-213 ◽  
Author(s):  
MARC MEERTENS ◽  
J. A. M. POTTERS ◽  
J. H. REIJNIERSE
Keyword(s):  
Bargaining Set ◽  
Tu Games ◽  
The Core ◽  
Symmetric Games ◽  
Bargaining Sets ◽  
Additional Assumptions

The paper investigates under which additional assumptions the bargaining set, the reactive bargaining set or the semireactive bargaining set coincides with the core on the class of symmetric TU-games. Furthermore, we give an example which illustrates that the property 'the bargaining set coincides with the core' is not a prosperity property.

scholarly journals Some Recursive Definitions for Linear Values of Cooperative TU Games

Game Theory ◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Irinel Dragan
Keyword(s):  
Shapley Value ◽  
Banzhaf Value ◽  
Tu Games ◽  
The Shapley Value ◽  
Cooperative Tu Games ◽  
Power Game ◽  
Recursive Definitions

We give recursive definitions for the Banzhaf Value and the Semivalues of cooperative TU games. These definitions were suggested by the concept of potential for the Shapley Value due to Hart and Mas-Colell and by some results of the author who introduced the potentials of these values and the Power Game of a given game.

Potentials in cooperative TU-games

1997 ◽  
Vol 34 (2) ◽  
pp. 175-190 ◽  
Author(s):  
Emilio Calvo ◽  
Juan Carlos Santos
Keyword(s):  
Tu Games ◽  
Cooperative Tu Games

A Formal Theory of Cooperative TU-Games

2009 ◽  
pp. 81-91
Author(s):  
Marc Daumas ◽  
Érik Martin-Dorel ◽  
Annick Truffert ◽  
Michel Ventou
Keyword(s):  
Formal Theory ◽  
Tu Games ◽  
Cooperative Tu Games
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