  We study Bayesian Persuasion with multiple senders who have access to
conditionally independent experiments (and possibly others). Senders have
zero-sum preferences over information revealed. We characterize when any set of
states can be pooled in equilibrium and when all equilibria are fully
revealing. The state is fully revealed in every equilibrium if and only if
sender utility functions are `globally nonlinear'. With two states, this is
equivalent to some sender having nontrivial preferences. The upshot is that
`most' zero-sum sender preferences result in full revelation. We explore what
conditions are important for competition to result in such stark information
revelation.
