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In this paper we investigate possible solutions to the coincidence problem inflat phantom dark energy models with a constant dark energy equation of stateand quintessence models with a linear scalar field potential. These models arerepresentative of a broader class of cosmological scenarios in which theuniverse has a finite lifetime. We show that, in the absence of anthropicconstraints, including a prior probability for the models inverselyproportional to the total lifetime of the universe excludes models very closeto the $\Lambda {\rm CDM}$ model. This relates a cosmological solution to thecoincidence problem with a dynamical dark energy component having an equationof state parameter not too close to -1 at the present time. We further show,that anthropic constraints, if they are sufficiently stringent, may solve thecoincidence problem without the need for dynamical dark energy.

Anthropic versus cosmological solutions to the coincidence problem