Geodesic
On a~discrete arbitration procedure with quadratic payoff function
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 3, pp. 51-57

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We consider a two-person bargaining model with arbitrator's participation. The players make their offers and the arbitrator's decision is simulated by a random variable with uniform distribution on the set $\{-n,-(n-1),\dots,-1,0,1,\dots,n-1,n\}$. We use a new arbitration procedure. The Nash equilibrium in this game in mixed strategies is found.
Keywords: non-cooperative game, equilibrium, mixed strategies.
Mots-clés : arbitration scheme 
@article{MGTA_2012_4_3_a3,
     author = {Alexander E. Mentcher},
     title = {On a~discrete arbitration procedure with quadratic payoff function},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {51--57},
     publisher = {mathdoc},
     volume = {4},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a3/}
}
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Alexander E. Mentcher. On a~discrete arbitration procedure with quadratic payoff function. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 4 (2012) no. 3, pp. 51-57. http://geodesic.mathdoc.fr/item/MGTA_2012_4_3_a3/