Some Restrictions on 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.v11i2.947

Keywords:

R&D Network game, Market structure, Equilibria, Maximum outcomes

Abstract

We use an R&D network model by Goyal and Moraga-Gonzalez [13] to maximize the equilibrium outcomes. We focus on the effectiveness of R&D expenditures and its effect on the outcomes. We find that characteristics of markets and networks influence values of the effectiveness. The change of this parameter has a negative impact on the individual and social outcomes.

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References

G. Ahuja, Collaboration networks, structural holes, and innovation: a longitudinal study, Administration Science Quarterly 45 (2000), 425 – 455, DOI: 10.2307/2667105.

M. Alghamdi, Economic returns in forming stable R&D networks, Springerplus 5 (2016), 1570, DOI: 10.1186/s40064-016-3260-8.

M. Alghamdi, Different strategies to obtain higher outcome, Journal of Informatics and Mathematical Science 9 (2017), 161 – 180, DOI: 10.26713/jims.v9i1.576.

M. Alghamdi, Maximum total welfare versus growth of R&D networks, Journal of Mathematics in Industry 7 (2017), 11, DOI: 10.1186/s13362-017-0041-0.

G.-I. Bischi and F. Lamantia, A dynamic model of oligopoly with R&D externalities along networks. Part I, Mathematics and Computers in Simulation 84 (2012), 51 – 65, DOI: 10.1016/j.matcom.2012.08.006.

G.-I. Bischi and G. Lamantia, A dynamic model of oligopoly with R&D externalities along networks. Part II, Mathematics and Computers in Simulation 84 (2012), 66 – 82, DOI: 10.1016/j.matcom.2012.09.001.

A. L. Bowley, Mathematical Groundwork in Economics: An Introductory Treatise, Oxford University Press (1924), DOI: 10.2307/2222651.

R. Cowan and N. Jonard, Network structure and the diffusion of knowledge, Journal of Economic Dynamics and Control 28 (8) (2004), 1557 – 1575, DOI: 10.1016/j.jedc.2003.04.002.

F. Deroian, Dissemination of spillovers in cost-reducing alliances, Research in Economics 62 (2008), 34 – 44, DOI: 10.1016/j.rie.2007.12.004.

A. Dixit, A model of duopoly suggesting a theory of entry barriers, The Bell Journal of Economics 10 (1979), 20 – 32, https://ideas.repec.org/a/rje/bellje/v10y1979ispringp20-32.html.

C. D'Aspremont and A. Jacquemin, Cooperative and noncooperative R&D in duopoly with spillovers, American Economic Review 78 (1988), 1133 – 1137, https://www.jstor.org/stable/1807173.

S. Goyal and S. Joshi, Networks of collaboration in oligopoly, Games and Economic Behavior 43 (1) (2003), 57 – 85, DOI: 10.1016/S0899-8256(02)00562-6.

S. Goyal and J. L. Moraga-Gonzalez, R&D networks, Rand Journal of Economics 32 (2001), 686 – 707, https://econpapers.repec.org/article/rjerandje/v_3a32_3ay_3a2001_3ai_3a4_3ap_3a686-707.htm.

J. Hackner, A note on price and quantity competition in differentiated oligopolies, Journal of Economic Theory 93 (2000), 233 – 239, DOI: 10.1006/jeth.2000.2654.

M. O. Jackson and A. Wolinsky, A strategic model of social and economic networks, Journal of Economic Theory 71 (1996), 44 – 74, DOI: 10.1006/jeth.1996.0108.

M. E. J. Newman, The structure and function of complex networks, SIAM Review 45 (2003), 167 – 256, DOI: 10.1137/S003614450342480.

M. L. Petit and B. Tolwinski, R&D cooperation or competition?, European Economic Review 43 (1999), 185 – 208, DOI: 10.1016/S0014-2921(97)00111-6.

S.W. Salant and G. Shaffer, Optimal asymmetric strategies in research joint ventures, International Journal of Industrial Organization 16 (1998), 195 – 208, DOI: 10.1016/S0167-7187(96)01046-6.

N. Singh and X. Vives, Price and quantity competition in a differentiated duopoly, Rand Journal of Economics 15 (1984), 546 – 554, DOI: 10.2307/2555525.

M. Spence, Cost reduction, competition, and industry performance, Econometrica 52 (1984), 101 – 121, https://www.jstor.org/stable/1911463.

L. Zu, B. Dong, X. Zhao and J. Zhang, International R&D networks, Review of International Economics 19 (2011), 325 – 340, DOI: 10.1111/j.1467-9396.2011.00950.x.

L. Zirulia, The role of spillovers in R&D network formation, Economics of Innovation and New Technology 21 (2012), 83 – 105, DOI: 10.1080/10438599.2011.557558.

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Published

2019-07-30
CITATION

How to Cite

Alghamdi, M. (2019). Some Restrictions on R&D Networks. Journal of Informatics and Mathematical Sciences, 11(2), 99–113. https://doi.org/10.26713/jims.v11i2.947

Issue

Vol. 11 No. 2 (2019)

Section

Research Articles

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