The egalitarian solution and reduced game properties in convex games

1990 ◽  
Vol 19 (2) ◽  
pp. 153-169 ◽  
Author(s):  
B. Dutta
Keyword(s):  
Convex Games ◽  
Reduced Game ◽  
Egalitarian Solution

scholarly journals The egalitarian solution for convex games: some characterizations

2000 ◽  
Vol 40 (1) ◽  
pp. 111-121 ◽  
Author(s):  
Flip Klijn ◽  
Marco Slikker ◽  
Stef Tijs ◽  
José Zarzuelo
Keyword(s):  
Convex Games ◽  
Egalitarian Solution

TWO CHARACTERISATIONS OF THE LEXICOGRAPHIC EGALITARIAN SOLUTION

2001 ◽  
Vol 03 (04) ◽  
pp. 315-323 ◽  
Author(s):  
CHIH CHANG ◽  
YAN-AN HWANG
Keyword(s):  
The Other ◽  
Individual Rationality ◽  
Strong Monotonicity ◽  
Pareto Optimal ◽  
Other Hand ◽  
Reduced Game ◽  
Egalitarian Solution

Two new axioms, additivity of additional bonus (AAB) and reduced game monotonicity (RGM), are introduced. AAB states that the players can gain an additional bonus after they achieved an agreement; on the other hand, if the bargaining fails then they get nothing. With its help, we characterise the lexicographic egalitarian solution by individual rationality (IR), AAB and consistency (CON). The other axiom, RGM, is a weaker axiom than CON and strong monotonicity (SMON), respectively. Using Pareto optimal (PO), IR, AAB and RGM, the second characterisation of the lexicographic egalitarian solution is presented.

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