Geodesic
$A$-equilibrium and fuzzy $A$-core in pure exchange model with externalities
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 1, pp. 15-31

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In the paper, a concept of $A$-equilibrium being a concretization of “altruistic” Berge equilibrium adapted to the pure exchange economy with externalities, is proposed. In terms of an appropriate fuzzy domination a cooperative characterization of $A$-equilibrium allocations is given, and an analog of the classic core equivalence theorem is established.
Keywords: pure exchange model with externalities, fuzzy $A$-core, Nash equilibrium, Berge equilibrium, $A$-equilibrium. 
@article{MGTA_2015_7_1_a1,
     author = {Valery A. Vasil'ev},
     title = {$A$-equilibrium and fuzzy $A$-core in pure exchange model with externalities},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {15--31},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2015_7_1_a1/}
}
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Valery A. Vasil'ev. $A$-equilibrium and fuzzy $A$-core in pure exchange model with externalities. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 7 (2015) no. 1, pp. 15-31. http://geodesic.mathdoc.fr/item/MGTA_2015_7_1_a1/