Visa (NYSE: V) seems to have weathered the most severe effects of new rules that shook its hold on the U.S. debit card market, though the company still faces a government investigation into the methods it is using to recoup lost revenue. The card network said Wednesday that its U.S. debit card volume fell by 6% in the quarter that ended Sept. 30, compared to a 9% slide during the previous three-month period.

Those declines are the result of new rules ensuring merchants have the choice of using at least one PIN debit network and at least one separate signature debit network each time a customer steps to the cash register.

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