In a fixed-regime setting, it is known since Leeper (1991) that both monetary dominance (mix of active monetary and passive fiscal policies) and fiscal dominance (mix of active fiscal and passive monetary policies) regimes yield a determinate unique equilibrium. This paper shows that in a regime-switching context, switches from monetary dominance to fiscal dominance regimes (and vice-versa) render the overall economy indeterminate for standard parameter values. We apply our results to the important case of the exit from the zero lower bound (ZLB), where monetary policy is inherently passive. Contrary to the fixed regime prediction, the economy switching between the ZLB in a fiscally led regime and a monetary dominance regime is robustly indeterminate, making the coordination of agents' beliefs hard because both monetary and fiscal policies are overall strongly passive.
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