Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Naive Bayesian Learning in Social Networks   The DeGroot model of naive social learning assumes that agents only
communicate scalar opinions. In practice, agents communicate not only their
opinions, but their confidence in such opinions. We propose a model that
captures this aspect of communication by incorporating signal informativeness
into the naive social learning scenario. Our proposed model captures aspects of
both Bayesian and naive learning. Agents in our model combine their neighbors'
beliefs using Bayes' rule, but the agents naively assume that their neighbors'
beliefs are independent. Depending on the initial beliefs, agents in our model
may not reach a consensus, but we show that the agents will reach a consensus
under mild continuity and boundedness assumptions on initial beliefs. This
eventual consensus can be explicitly computed in terms of each agent's
centrality and signal informativeness, allowing joint effects to be precisely
understood. We apply our theory to adoption of new technology. In contrast to
Banerjee et al. [2018], we show that information about a new technology can be
seeded initially in a tightly clustered group without information loss, but
only if agents can expressively communicate their beliefs.

25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph