price elasticity of demand for murder

Some opponents of the death penalty are opposed to executing individuals who have been convicted of murder because they believe that murder is an irrational act and that raising the price of murder through capital punishment thus will not have a deterrent effect on prospective murders. If these opponents are correct in their view of murder being an irrational act, depict what the demand curve for murders look like. What is the price elasticity of demand for murder according to this view?