Geodesic
Equilibrium in transportation game
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 1, pp. 41-55

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A non-cooperative $m$-person transportation game which is related to the queueing system $M/M/m$ on graph is considered. There are $m$ services (transport companies) which serve the stream of customers with exponential distribution with parameters $\mu_i$ $i=1,2,\ldots,m$. The stream forms the Poisson process with matrix of intensities $\Lambda$. The solution of the problem of pricing and determining the optimal intensity for each firm in the competition is derived. 
@article{MGTA_2014_6_1_a2,
     author = {Anna V. Melnik},
     title = {Equilibrium in transportation game},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {41--55},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a2/}
}
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Anna V. Melnik. Equilibrium in transportation game. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 1, pp. 41-55. http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a2/