  We present and analyze a model of opinion formation on an arbitrary network
whose dynamics comes from a global energy function. We study the global and
local minimizers of this energy, which we call stable opinion configurations,
and describe the global minimizers under certain assumptions on the friendship
graph. We show a surprising result that the number of stable configurations is
not necessarily monotone in the strength of connection in the social network,
i.e. the model sometimes supports more stable configurations when the
interpersonal connections are made stronger.
