Former American International Group Inc. Chief Executive Officer Maurice “Hank” Greenberg admitted to participating in and approving two fraudulent reinsurance deals as part of a settlement with New York’s attorney general, ending a contentious legal battle that has dragged out for almost a dozen years. The settlement, announced Friday, resolves a court fight in which Greenberg, 91, and his high-powered lawyer, David Boies, squared off against three successive state attorneys general.