The Behavior of Maximum Outcomes in Symmetric R&D Networks

Authors

  • Mohamad Alghamdi Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455, Riyadh 11451

DOI:

https://doi.org/10.26713/jims.v9i1.421

Keywords:

Symmetric networks, Maximization, Optimal levels, Equilibria

Abstract

We consider the network game for firms conduct R&D to study symmetric cooperation networks. The outcomes focus theoretically on analyzing the behavior of the equilibria. First, we determine optimal levels at which the production quantity is maximized. Then, we show that the quantity function is symmetric around those optimal levels. Finally, we show that the regular increase in the activity level does not necessarily produce a constant change in the equilibrium outcomes.

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References

Bowley, A. L., 1924. Mathematical Groundwork in Economics: an introductory treatise. Oxford U, Press.

Cantner, U., Graf, H., 2006. The network of innovators in Jena: An application of social network analysis. Research Policy. 35, 463-480.

Deroian, F., 2008. Dissemination of spillovers in cost-reducing alliances. Research in Economics. 62, 34-44.

Dixit, A., 1979. A Model of Duopoly Suggesting a Theory of Entry Barriers. The Bell Journal of economics. 10, 2032.

Goyal, S., Moraga-Gonzalez, J. L., 2001. R&D Networks. Rand Journal of Economics. 32, 686-707.

Konig, M. D., Battiston, S., Napoletano, M., Schweitzer, F., 2012. The efficiency and stability of R&D networks. Games and Economic Behavior. 75, 694-713.

Jackson, M., 2008. Social and Economic Networks. Princeton, NJ: Princeton University Press.

Jackson, M. O., Wolinsky, A., 1996. A Strategic Model of Social and Economic Networks. Journal of Economic Theory. 71, 44-74.

Newman, M. E. J., 2003. The Structure and Function of Complex Networks. SIAM Review. 45, 167-256.

Westbrock, B., 2010. Natural concentration in industrial research collaboration. RAND Journal of Economics. 41 (2), 351-371.

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Published

2017-06-09
CITATION

How to Cite

Alghamdi, M. (2017). The Behavior of Maximum Outcomes in Symmetric R&D Networks. Journal of Informatics and Mathematical Sciences, 9(1), 1–12. https://doi.org/10.26713/jims.v9i1.421

Issue

Vol. 9 No. 1 (2017)

Section

Research Articles

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