But they have different ideas on mechanisms to achieve it.
The Affordable Care Act establishes a 15-member Independent Payment Advisory Board that, starting in 2015, would make binding recommendations to reduce spending rates. As Jonathan Cohn points out in the New Republic, the commission is prohibited from making any changes that would affect beneficiaries.
Ryan has proposed hard caps on spending and derided this panel of appointed members as "unelected, unaccountable bureaucrats." When laying out his plan in a 2011 memo, Ryan wrote that to control spending, "Congress would be required to intervene and could implement policies that change provider reimbursements, program overhead, and means-tested premiums."
Romney hasn't stated clear proposals for imposing a cap on spending.
THE CANDIDATES ON MEDICAID
Though, it's far less discussed on the campaign trail, Medicaid actually covers more people than Medicare. The joint federal-state insurance program for the poor, the disabled, and elderly individuals in long-term nursing home care currently covers about 60 million Americans. The Affordable Care Act has expanded Medicaid coverage further. Beginning 2014, Medicaid will include people under 65 with income below 133 percent of the federal poverty level (roughly $15,000 for an individual, $30,000 for a family of four). This was estimated to cover an additional 17 million Americans as eligible beneficiaries.
In June, however, the U.S. Supreme Court ruled that states could opt out of the Medicaid expansion. A ProPublica analysis estimated that the 26 states that challenged the health care law, and thus may possibly opt out, would account for up to 8.5 million of those new beneficiaries.
Romney and Ryan would overhaul this current system by turning Medicaid into a system of block grants: the federal government would issue lump sum payments to the states, who would determine eligibility criteria and benefits for enrollees. These grants would begin in 2013.
Effects on spending
The Congressional Budget Office estimates that Medicaid expansion under the new health care law would cost an additional $642 billion over the next 10 years.
Under the Ryan plan, federal Medicaid grants would be adjusted only for inflation, but not health care costs, which grow at a much higher rate. The CBO estimates Ryan's plan would save the federal government $800 billion over the next 10 years. Another study conducted by Bloomberg News shows that the block-grants could decrease Medicaid funding by as much as $1.26 trillion over the next nine years.