Belief revision, belief merging and voting

In belief revision, an agent is faced with the problem
of choosing between several alternatives when trying to restore con-
sistency to theory. Ideally, the choice process is conducted in a way
that verifies a number of fairness principles. On the other hand, be-
lief merging concerns with the problem of determining a group’s be-
liefs from individual members’ beliefs that are not always compatible
with each other. Similarly, in voting systems, a social welfare func-
tion takes individual preferences into account in order to produce a
collective preference. Here again certain fairness principles are desir-
able. In this paper, we investigate the relationship between revision,
merging and voting.