Free-Riding in Products with Positive Network Externalities: Empirical Evidence from a Large Mobile Network

MIS Q. Pub Date : 2021-02-14 DOI:10.31235/osf.io/wz4k9
Rodrigo Belo, Pedro Ferreira
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Abstract

We study the effect of peer influence on products that exhibit positive network externalities to non-adopters, i.e., products that benefit adopters' friends even if they do not adopt. Contrary to products that exhibit positive network externalities upon adoption, this structure of incentives likely results in negative peer influence: the more friends that adopted the product, the smaller the incentives to adopt. We measure this effect empirically by using observational data from a large mobile carrier serving 5.7 million users. We estimate the effect of peer influence across five different products of this type. A naive approach to do so results in a positive estimate for peer influence due to unobserved homophily. We follow two approaches to address this issue. First, we suggest using the number of friends that end up adopting the product as a proxy for unobserved user fixed effects. Second, we control for homophily by applying a shuffle test, i.e., we compare the effect of peer influence from the original data with the effect obtained from comparable randomly generated data without peer influence. We get negative estimates from both approaches, which provides robustness to our findings. Finally, we show that even for these products, the effect of peer influence associated with the first friends that adopt the product is positive, which arises because they still convey useful information about reducing uncertainty. The negative effect of peer influence arises only for the subsequent friends that adopt the product. These friends are unlikely to convey new information about the product, but each of them decreases the economic incentive to adopt, resulting in a negative aggregate effect of peer influence.
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具有正网络外部性产品的搭便车行为:来自大型移动网络的经验证据
我们研究了同伴影响对非采用者表现出正网络外部性的产品的影响,即即使采用者的朋友不采用者也能受益的产品。与产品在采用时表现出积极的网络外部性相反,这种激励结构可能会导致负面的同伴影响:采用该产品的朋友越多,采用的激励就越小。我们通过使用一家服务570万用户的大型移动运营商的观测数据来测量这种效应。我们估计同伴影响对这类产品的五种不同的影响。一种幼稚的方法这样做会导致由于未观察到的同质性而对同伴影响的积极估计。我们采用两种方法来解决这个问题。首先,我们建议使用最终采用该产品的朋友数量作为未观察到的用户固定效果的代理。其次,我们通过使用洗牌检验来控制同质性,即,我们比较原始数据中同伴影响的效果与没有同伴影响的可比较随机生成数据的效果。我们从两种方法中得到负估计,这为我们的发现提供了稳健性。最后,我们表明,即使对于这些产品,与采用该产品的第一批朋友相关的同伴影响的效果是积极的,这是因为他们仍然传达了有关减少不确定性的有用信息。同伴影响的负面影响只出现在后续使用该产品的朋友身上。这些朋友不太可能传达关于产品的新信息,但他们每个人都降低了采用该产品的经济动机,从而导致同伴影响的负总体效应。
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