Would you consider anticoagulation for a young patient with a recent embolic stroke and newly diagnosed global cardiac hypokinesis with ejection fraction of less than 25%?  

Yes, I would consider anticoagulation but the evidence is indirect. There is reasonable data in persons with heart failure with reduced ejection fraction that ischemic stroke is reduced with anticoagulation compared to antiplatelet therapy alone. But essentially all large RCTs are limited in th...