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Delegate Gail H. Bates, Howard Republican, opposes cost sharing, especially in a time where numerous local governments are facing their own shortfalls. While some cost-sharing supporters have blamed counties for the failing pension system, arguing that they recklessly raised salaries, she said the state is also to blame for overspending and approving pension-benefit enhancements in recent years.

“When we enhanced the pension years ago, the counties never came to us and said, ‘Please increase the payments.’ We did that on our own,” said Mrs. Bates, a member of the House Appropriations Committee, which approved this year’s pension changes.