Game Equilibria and Transition Dynamics in Triregular Networks

Authors

  • Vladimir Matveenko National Research University Higher School of Economics
  • Maria Garmash National Research University Higher School of Economics
  • Alexei Korolev National Research University Higher School of Economics

Abstract

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

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References

Aemoglu, D. Robinson, J. A. (2012). Why nations fall: The origins of power, prosperity, and poverty. Crown Publishers: New York.

Ballester, C., Calvo-Armengol, A. and Zenou, Y. (2006). Who's who in networks. Wanted: the key player. Econometrica, 74(5), 1403–1417.

Bramoulle, Y., Kranton, R. (2007). Public goods in networks. Journal of Economic Theory, 135, 478–494.

Bramoulle, Y., Kranton, R., D'Amours, M. (2014). Strategic interaction and networks. American Economic Review, 104(3), 898–930.

Eliott, M., Golub, B. (2018). A network approach to public goods. Cambridge Working Papers in Economics 1813. Faculty of Economics, University of Cambridge.

Estrada, E. (2011). The structure of complex networks. Theory and applications. Oxford University Press: Oxford.

Jackson, M. O. (2008). Social and Economic Networks. Princeton University Press: Princeton.

Jackson, M. O., Zenou, Y. (2014). Games on networks. In: Young P. and Zamir S. eds. Handbook of game theory, 4. Elsevier Science: Amsterdam, pp. 95–163.

Jackson, M. O., Rogers, B.W., Zenou, Y. (2017). The economic consequences of social network structure. Journal of Economic Literature, 55(1), 49–95.

Galeotti, A., Goyal, S., Jackson, M. O., Vega-Redondo, F., Yariv, L. (2010). Network games. The Review of Economic Studies, 77, 218–244.

Goyal, S. (2010). Connections: An introductions to the economics of networks. Princeton University Press: Princeton.

Goyal, S. (2018). Heterogeneity and networks. In: Hommes C., Le Baron B., eds. Handbook of computational economics, 4. Elsevier: Amsterdam.

Lucas, R. (1988). On the mechanics of economic development. Journal of Monetary Economics, 2(1), 3–42.

Martemyanov, Y. P., Matveenko, V. D. (2014). On the dependence of the growth rate on the elasticity of substitution in a network. International Journal of Process Management and Benchmarking, 4(4), 475–492.

Matveenko, V. D., Korolev, A. V. (2017). Knowledge externalities and production in network: game equilibria, types of nodes, network formation. International Journal of Computational Economics and Econometrics, 7(4), 323–358.

Matveenko, V., Korolev, A., and Zhdanova, M. (2017). Game equilibria and unification dynamics in networks with heterogeneous agents. International Journal of Engineering Business Management, 9, 1–17.

Naghizadeh, P., Liu, M. (2017). Provision of Public Goods on Networks: On Existence, Uniqueness, and Centralities. IEEE Transactions on Network Science and Engineering, Forthcoming.

Romer, P. M. (1986). Increasing returns and long-run growth. The Journal of Political Economy, 94, 1002–1037.

Scharf, K. (2014). Private provision of public goods and information diusion in social groups. International Economic Review, 55(4), 1019–1042.

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Published

2022-04-10

How to Cite

Matveenko, V., Garmash, M., & Korolev, A. (2022). Game Equilibria and Transition Dynamics in Triregular Networks. Contributions to Game Theory and Management, 11. Retrieved from https://gametheory.spbu.ru/article/view/13230

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