  We study the effect of strategic behavior in iterative voting for multiple
issues under uncertainty. We introduce a model synthesizing simultaneous
multi-issue voting with Meir, Lev, and Rosenschein (2014)'s local dominance
theory and determine its convergence properties. After demonstrating that local
dominance improvement dynamics may fail to converge, we present two sufficient
model refinements that guarantee convergence from any initial vote profile for
binary issues: constraining agents to have O-legal preferences and endowing
agents with less uncertainty about issues they are modifying than others. Our
empirical studies demonstrate that although cycles are common when agents have
no uncertainty, introducing uncertainty makes convergence almost guaranteed in
practice.
