  In this paper we study collective decision making on a multi-population,
represented by a regular network of groups of individuals. Each group consists
of a collection of players and every player can choose between two options. A
group is characterised by variables denoting the fractions of individuals
committed to each respective option, and they are influenced by the state of
neighboring groups. First, we study its steady-state and show that the
equilibrium is a consensus equilibrium. We also derive a sufficient condition
for local asymptotic stability. Then, we study a structured model where every
population is now assumed to represent a structured complex network. We
conclude the paper with simulations, corroborating the obtained theoretical
findings.
