Geodesic
Game equilibria and transition dynamics in triregular networks
Contributions to game theory and management, Tome 11 (2018), pp. 113-128

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We study game equilibria in a model of production and externalities in regular network with three types of agents who possess different productivities. Each agent may invest a part of her endowment (for instance, time or money) at the first stage; consumption at the second stage depends on her own investment and productivity as well as on the investments of her neighbors in the network. We introduce adjustment dynamics described by differential equations. We study which equilibria are possible, and which of these equilidria are dynamically stable under different combinations of parameters of the game.
Keywords: network, game equilibrium, heterogeneous agents, network formation, productivity. 
@article{CGTM_2018_11_a8,
     author = {Vladimir Matveenko and Maria Garmash and Alexei Korolev},
     title = {Game equilibria and transition dynamics in triregular networks},
     journal = {Contributions to game theory and management},
     pages = {113--128},
     publisher = {mathdoc},
     volume = {11},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2018_11_a8/}
}
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Vladimir Matveenko; Maria Garmash; Alexei Korolev. Game equilibria and transition dynamics in triregular networks. Contributions to game theory and management, Tome 11 (2018), pp. 113-128. http://geodesic.mathdoc.fr/item/CGTM_2018_11_a8/