Finding Early Adopters of Innovation in Social Networks Balázs R. Sziklai12and Balázs Lengyel13

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Finding Early Adopters of Innovation in
Social Networks
Balázs R. Sziklai 1,2 and Balázs Lengyel 1,3
1Centre for Economic and Regional Studies, Budapest, Hungary
2Department of Operations Research and Actuarial Sciences,
Corvinus University of Budapest
3Corvinus Institute for Advanced Studies, Corvinus University of
Budapest
Abstract
Social networks play a fundamental role in the diffusion of inno-
vation through peers’ influence on adoption. Thus, network position
including a wide range of network centrality measures have been used
to describe individuals’ affinity to adopt an innovation and their ability
to propagate diffusion. Yet, social networks are assortative in terms
of susceptibility and influence and in terms of network centralities as
well. This makes the identification of influencers difficult especially
since susceptibility and centrality does not always go hand in hand.
Here we propose the Top Candidate algorithm, an expert recommen-
dation method, to rank individuals based on their perceived expertise,
which resonates well with the assortative nature of innovators and
early adopters. Leveraging adoption data from two online social net-
works that are assortative in terms of adoption but represent different
levels of assortativity of network centralities, we demonstrate that the
Top Candidate ranking is more efficient in capturing early adopters
than other widely used indices. Top Candidate nodes adopt earlier
and have higher reach among innovators, early adopters and early ma-
jority than nodes highlighted by other methods. These results suggest
that the Top Candidate method can identify good seeds for influence
maximization campaigns on social networks.
1
arXiv:2210.13907v1 [cs.SI] 25 Oct 2022
Keywords: Online social networks, Innovation adoption, Network central-
ity measures,Top Candidate ranking, Homophily
1 Introduction
Most individuals adopt an innovation by imitating their influential peers
(Rogers, 1962; Bass, 1969) that underlines the role of social networks in the
diffusion of new products, technologies or ideas (Granovetter, 1978; Valente,
1996). Network scientists argue that the structure of social networks can
explain the underlying mechanisms of social influence and adoption: highly
connected nodes have more influence than others (Pastor-Satorras et al.,
2015), while diffusion is more likely in tightly connected cliques and less
likely across them (Centola and Macy, 2007). Wang et al. (2019) paint a
more nuanced picture as they found that although simple messages spread
effectively via network hubs, for complex stories, the influence of ’ordinary
people’ (individuals that are less connected) is more important.
A central part of this discussion has led to the "influence maximization"
problem (IM) (Kempe et al., 2003), which aims to identify the ideal seed
nodes that a marketing campaign should target to achieve maximum impact,
given pre-defined diffusion models. The IM is NP-hard; thus, many use
heuristics to find the seed nodes and start optimization by assuming that
nodes with high network centrality (e.g. degree) are influential spreaders
(Kitsak et al., 2010; De Arruda et al., 2014) and run diffusion simulations,
most notably using the linear threshold and the independent cascade models.
However, these models fail to capture an important feature that is observed
in real life networks: homophily, the tendency that similar individuals are
more likely to be connected than dissimilar ones.
Homophily, also referred to as assortativity in relation with social net-
works (Newman, 2002), is a general phenomenon (McPherson et al., 2001;
Cho et al., 2012) that has a fundamental role in innovation spreading (Anwar
et al., 2021). Ignoring this effect poses a major problem for seed indentifi-
cation in influence maximization when the sole source of information is the
network structure (Aral and Dhillon, 2018). Social influence and central-
ity are difficult to disentangle without knowing at least some of the early
adopters of the specific innovation (Banerjee et al., 2013; Toole et al., 2012).
There are plenty of reasons why a central individual may be reluctant to par-
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ticipate in a campaign or may not be susceptible to the marketing message.
The most prominent one is risk-averseness. Subscribing to a new trend or
technology needs commitment and entails social risk – not everyone is willing
to do that. Central agents with many friends may particularly feel the social
pressure to be conformist and to avoid eccentric behavior. Innovators and
early adopters, on the other hand, are known to possess psychological traits
that makes them perfect subject for the early market of an innovation.
In this paper, we aim to contribute to this discussion in two ways. First,
empirical data on adoption dynamics from two online social networks enable
us to investigate how network structure can be useful to identify innovators
and early adopters in innovation diffusion. Second, we propose a ranking
of the users based on the so-called Top Candidate method (Sziklai, 2018) –
an expert selection algorithm that exhibits features resembling assortativity.
We argue that (i) these contributions together provide new heuristics for
seed selection in influence maximization (ii) any framework that neglects
assortativity of social networks when testing heuristics is prone to produce
inaccurate predictions.
We compare the Top Candidate ranking with seven well-known centrality
measures on two online social networks: iWiW from Hungary and Pokec
from Slovakia. Registration days of users are known in both networks, both
are assortative in terms of adoption time but represent different levels of
assortativity in network centralities. We look at the top 1000 nodes of the
Top Candidate ranking and the other seven alternative measures and plot
how the date of registration is distributed over time.
We find that the Top Candidate ranking is more efficient in capturing
innovators and early adopters than other widely used indicators. Top Can-
didate nodes adopt earlier and have higher reach among innovators, early
adopters and early majority than nodes highlighted by other methods. These
results suggest that the Top Candidate method can identify good seeds for
influence maximization campaigns on social networks.
2 Literature overview
2.1 Early adopters as experts
The identification of innovators and early adopters is key for marketing cam-
paigns and their characterization received considerable attention. The lit-
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erature converges toward the conclusion that innovators and early adopters
stand out from their peers.
Rogers (2003) describes innovators as venturesome individuals who can
cope with a high degree of uncertainty, and early adopters as a group with
high socio-economic status. Moore (2014) depicts innovators as technology
enthusiasts, or geeks and early adopters as visionaries who are willing to take
high risk.
A field study by Brancheau and Wetherbe (1990) supports hypotheses
that early adopters were more highly educated, more attuned to mass media,
more involved in interpersonal communication, and more likely to be opinion
leaders. Eastlick and Lotz (1999) reports that social risk negatively relates to
the tendency to be a potential innovator and potential innovators possessed
significantly stronger opinion leadership. A dutch survey shows that early
adopters are likely to be highly mobile, have a high socio-economic status,
high levels of education and high personal incomes (Zijlstra et al., 2020).
Finally, Muller and Yogev (2006) provides empirical evidence that the average
time at which the main market outnumbers the early market is indeed when
16% of the market has already adopted the product – giving support Rogers
(1962)’s somewhat arbitrary (or rather inspired) division of adopter sets.
Another important concept is market mavenness (Feick and Price, 1987).
Market mavens are consumers who are highly involved in a market. They
have information about many kinds of products and shops, and they enjoy
sharing their knowledge. Peers often seek out their opinion and rely on
their expertise. Goldsmith et al. (2003) finds that consumer innovativeness
and market mavenism positively correlates, although they argue that market
mavens and innovators are distinct groups.
Directly related to the context of this study, Lynn et al. (2011) explores
the relationship between personality traits of early adopters of social network
sites. They report that extraversion, openness and conscientiousness impact
positively and significantly on information sharing, and negatively on rumor
sharing. On the other hand both, information sharing and rumor sharing
impact positively and significantly on the centrality of early adopters. The
seemingly contradictory observations, can be explained away by separating
the social status of opinion leadership and the influencing capacity of the
agent which relates more to network centrality.
To sum up, innovators and early adopters stand out in their personal char-
acteristics. Thus, marketing campaigns have usually targeted and labelled
them as experts to convince society. However, both Lynn et al. (2011) and
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Dedehayir et al. (2017) argue that a distinction has to be made between opin-
ion leadership and innovativeness. Even Rogers (2003) affirms that opinion
leaders are not necessarily innovators.
2.2 Early Adoption and homophily in network diffusion
In the Influence Maximization framework (Kempe et al., 2003), few papers
addressed other node characteristics concentrating in network communities
that can help to predict the future popularity of novelty. For example, influ-
ential individuals can form clusters that can help the early propagation of an
idea (Aral and Walker, 2012). Weng et al. (2014) build a predictive model for
meme popularity using three classes of features: network topology, commu-
nity diversity, and growth rate. They found that community related features
are the most powerful predictors of future success. Hajdu et al. (2020) study
the community structure of public transportation networks and finds that
transmission probabilities depend on the community structure. Calió and
Tagarelli (2021) study attribute based seed diversification. They argue that
a seed set with different characteristics (age, gender, etc.) might be more
successful in information-propagation. Rahimkhani et al. (2015) identifies
the community structures of the input graph then chooses a number of rep-
resentative nodes to form the final output of the proposed algorithm.
However, this literature has largely overlooked a phenomenon inherent is
social networks and diffusion dynamics alike: the role of homophily (McPher-
son et al., 2001). It has long been recognized that a behavior can spread in
society only when those most prone to it are surrounded by peers who are
somewhat less but almost equally open to it’s adoption (Granovetter, 1978).
In other words, innovators must be connected to early adopters such that
adoption can penetrate in their communities and later influence the rest
of the market too, otherwise the innovation will not spread (Watts, 2002).
Adoption dynamics can be predicted at small scales only by assuming ho-
mophily of adoption (Toole et al., 2012). Despite the importance of adoption
homophily in networks, it has been largely ignored in influence maximization
modeling (Aral and Dhillon, 2018).
Instead, a usual assumption to find the seed nodes for Influence Maxi-
mization is that network structure alone can quantify influence. For example,
nodes with high network centrality (e.g. degree) are usually considered as in-
fluential spreaders (Kitsak et al., 2010; De Arruda et al., 2014).
Finally, the presence of assortativity implies that not every connection is
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摘要:

FindingEarlyAdoptersofInnovationinSocialNetworksBalázsR.Sziklai1,2andBalázsLengyel1,31CentreforEconomicandRegionalStudies,Budapest,Hungary2DepartmentofOperationsResearchandActuarialSciences,CorvinusUniversityofBudapest3CorvinusInstituteforAdvancedStudies,CorvinusUniversityofBudapestAbstractSocialnet...

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