The Oxford Handbook of the Economics of Networks 2016
DOI: 10.1093/oxfordhb/9780199948277.013.6
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Stochastic Network Formation and Homophily

Abstract: This chapter surveys and synthesizes models of network formation based on random graphs and stochastic processes. The material is organized according to whether the population is treated as fixed or evolving. Fixed population models allow one to readily capture a range of network properties through random graphs. Evolving population models allow one to study how network properties emerge asymptotically as a system grows according to some local rules. The chapter then turns to dynamic frameworks including sea… Show more

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Cited by 14 publications
(7 citation statements)
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“…22 There is also an important literature on dynamic networks. For recent surveys, seeÖzgür (2011) and Pin and Rogers (2016). 23 Papers that contribute to this line of modeling and derive such a result include Geoffard and Philipson (1997), Kremer (1996), Toxvaerd (2012), and Galeotti and Rogers (2015).…”
mentioning
confidence: 99%
“…22 There is also an important literature on dynamic networks. For recent surveys, seeÖzgür (2011) and Pin and Rogers (2016). 23 Papers that contribute to this line of modeling and derive such a result include Geoffard and Philipson (1997), Kremer (1996), Toxvaerd (2012), and Galeotti and Rogers (2015).…”
mentioning
confidence: 99%
“…The difference between the approach based on exact versus stochastic network information is illustrated in Figure 3. In the next section we review some commonly used stochastic network formation models, more details and extensions can be found in Bollobás and Béla (2001); Jackson (2010); Pin and Rogers (2015); Newman et al (2001); Newman (2010). We then illustrate in Sections 3.2 and 3.3 how these models have been used to study sampled network games with continuous and discrete action sets, respectively.…”
Section: Sampled Networkmentioning
confidence: 99%
“…On the one hand, homophily and the requirement of social reinforcement for behavioral adoption in complex contagion theory indicate that influence tends to be localized in homophilous communities [12,30]. In other words, behavioral diffusion and network formation are endogenous, explaining the phenomenon of within-community spreading [34,39]. On the other hand, the weak ties theory [19] implies that bridging ties between communities facilitate the spreading of novel ideas.…”
Section: Introductionmentioning
confidence: 99%