Geodesic
Typology of networks and equilibria in network gave with production and externalities of knowledges
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 3, pp. 64-92

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The game equilibrium in network is under consideration, in each node of this network economy is described by the simple two-periods Romer model of endogenius growth with production and knowledge exernalities. The sum of knowledge levels in the neighbour nodes causes an externality in the production of each node of network. The notion of type of node enters; one gives a tipology of networks in depending on nodes’ types; is shown, that the inner game equilibria are defined by mentioned tipology. For various types of networks are found explicitly the equilibrium values of knowledges for nodes, which have a different position in the network.
Keywords: network, network structure, game in the network, Nash equilibrium, externality, forming of network. 
@article{MGTA_2017_9_3_a2,
     author = {Vladimir D. Matveenko and Alexei V. Korolev},
     title = {Typology of networks and equilibria in network gave with production and externalities of knowledges},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {64--92},
     publisher = {mathdoc},
     volume = {9},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2017_9_3_a2/}
}
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Vladimir D. Matveenko; Alexei V. Korolev. Typology of networks and equilibria in network gave with production and externalities of knowledges. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 3, pp. 64-92. http://geodesic.mathdoc.fr/item/MGTA_2017_9_3_a2/