Before revision: In the present work we study the solution  existence for a generalized Dynkin game of switching type which is shown to be the natural representation for general defaultable OTC contract in which acontingent CSA has been set between the parties .
After revision: In the present work we study the solution existence for a generalized Dynkin game of switching type which is shown to be the natural representation for general defaultable OTC contract in which acontingent CSA defaultable OTC contract with contingent CSA .