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Network Formation with Endogenous Link Strength and Decreasing Returns to Investment

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  • Chiu Ki So

    (Department of Economics and Finance, Hang Seng Management College, Shatin, Hong Kong)

Abstract

We study the formation of networks where agents choose how much to invest in each relationship. The benefit that an agent can derive from a network depends on the strength of the direct links between agents. We assume that the strength of the direct link between any pair of agents is a concave function of their investments towards each other. In comparison with some existing models of network formation where the strength technology is a convex function of investment, we find that (i) the symmetric complete network can dominate the star architecture in terms of total utility; (ii) a dominating symmetric complete network needs not be stable; and, (iii) star and complete networks can be dominated by small-world networks.

Suggested Citation

  • Chiu Ki So, 2016. "Network Formation with Endogenous Link Strength and Decreasing Returns to Investment," Games, MDPI, vol. 7(4), pages 1-9, December.
    • Handle: RePEc:gam:jgames:v:7:y:2016:i:4:p:40-:d:84698
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    References listed on IDEAS

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    Cited by:

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    3. Philippe Bich & Lisa Morhaim, 2017. "On the existence of Pairwise stable weighted networks," Working Papers halshs-01564591, HAL.
    4. Philippe Bich & Lisa Morhaim, 2017. "On the existence of Pairwise stable weighted networks," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01564591, HAL.

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