  We investigate a model for opinion dynamics, where individuals (modeled by
vertices of a graph) hold certain abstract opinions. As time progresses,
neighboring individuals interact with each other, and this interaction results
in a realignment of opinions closer towards each other. This mechanism triggers
formation of consensus among the individuals. Our main focus is on strong
consensus (i.e. global agreement of all individuals) versus weak consensus
(i.e. local agreement among neighbors). By extending a known model to a more
general opinion space, which lacks a "central" opinion acting as a contraction
point, we provide an example of an opinion formation process on the
one-dimensional lattice with weak consensus but no strong consensus.
