Dynamic priority conflict resolution in a multi-processor computer system having shared resources

A computer system including a plurality of processing elements requiring access to a shared resource, said computer system comprising:

• a priority conflict resolution circuit comparator for dynamically resolving a priority tie among a plurality of processing elements simultaneously requesting access to said shared resource, the priority tie resulting from more than one of said plurality of processing elements to be of a common highest priority, said priority conflict resolution circuit comparator including an initial predetermined differing priority tie precedence assigned corresponding to each of said plurality of said processing elements wherein upon a selected one of said plurality of processing elements being afforded access to said shared resource based upon said initial priority tie precedence thereof being a highest priority of said plurality of processing elements and wherein an identity of the selected one of said plurality of said processors is stored so as upon a subsequent priority tie of said plurality of processing elements the selected one of said plurality of said processors is prevented from being selected again until each remaining processing element of the plurality of processing elements is selected.