1. A system for management of shared transactional resources, the system comprising: a transactional facility configured to support transactions that effectively delay committing stores to memory or results to an architectural state until transaction completion; and a processor comprising a plurality of execution units and an abort control, the processor configured to perform a method comprising: performing an allocation or arbitration of processing resources to instructions of a transaction within a thread; detecting, by at least one of the execution units, that the transaction has exceeded a manageable capacity of a resource or a potential collision of a transactional instruction storage access with another thread or processor has occurred, resulting in a transaction abort; recording a transaction abort reason associated with the transaction abort, indicating a detected cause of the transaction abort; examining, by the abort control, the transaction abort reason and a current configuration of the system to determine whether the transaction abort was based on an initiating program of the transaction exceeding a restricted limit on the manageable capacity of the resource or an allocation of the resource by the processor according to a table lookup operation that indexes a first table of hardware states with the transaction abort reason reporting current allocations of a maximum nesting depth and a maximum number of outermost transactions and maximum entries for the thread to identify an encoded state value and indexes a second table of decisions based on the encoded state value and the transaction abort reason to determine an abort handling decision; based on determining that the transaction abort was caused by the allocation of the resource by the processor according to the table lookup operation, updating a processor state to increase a likelihood of success upon retrying the transaction; precluding the aborted transaction from proceeding until progress on another thread is allowed; based on determining that progress requires securing resources from another thread, setting a thread arbitration required flag; arbitrating inter-thread progress to allow for processor reconfiguration based on the thread arbitration required flag; reconfiguring a processor capacity to increase resources allocated as available for retrying execution of the transaction on a thread, wherein the updating of the processor state further comprises removing reallocation or arbitration of the resources based on monitoring successful progress on the thread; and based on the thread arbitration required flag being clear, the updating of the processor state is based on at least one heuristic indicator for transaction retry success associated with the transaction abort reason and the current configuration of the system.