The neutron-deficient mercury isotopes, 184,186 Hg, were studied with the Recoil Distance Doppler-Shift (RDDS) method using the Gammasphere array and the Köln Plunger device. The Differential Decay Curve Method (DDCM) was employed to determine the lifetimes of the yrast states in 184,186 Hg. An improvement on previously measured values of yrast states up to 8 + is presented as well as first values for the 93 state in 184 Hg and 10 + state in 186 Hg. B(E2) values are calculated and compared to a two-state mixing model which utilizes the variable moment of inertia (VMI) model, allowing for extraction of spin-dependent mixing strengths and amplitudes.