  We study the degeneracies between dark energy dynamics, dark matter and
curvature using a non-parametric and non-perturbative approach. This allows us
to examine the knock-on bias induced in the reconstructed dark energy equation
of state, w(z), when there is a bias in the cosmic curvature or dark matter
content, without relying on any specific parameterisation of w. Even assuming
perfect Hubble, distance and volume measurements, we show that for z > 1, the
bias in w(z) is up to two orders of magnitude larger than the corresponding
errors in Omega_k or Omega_m. This highlights the importance of obtaining
unbiased estimators of all cosmic parameters in the hunt for dark energy
dynamics.
