Savings, Accountability, Value, and Efficiency III Act of 2014

Savings, Accountability, Value, and Efficiency III Act of 2014 - Requires the Director of the Office of Management and Budget (OMB) to issue software licensing policies for federal agencies.

Amends the National Energy Conservation Policy Act to expand the definition of "energy or water conservation measure" under such Act to include, in the case of a contract in which the U.S. Postal Service (USPS) is a party: (1) the purchase or lease of low emission and fuel efficient vehicles; (2) the upgrade of USPS vehicles to increase average fuel economy and reduce carbon dioxide emissions; or (3) the construction of infrastructure to support such vehicles, including electric vehicle charging stations.

Directs the Postmaster General to develop guidelines for USPS vehicles that provide for specified carbon dioxide emissions and fuel economy standards.

Requires the head of each federal agency to ensure that agency desktop computers are shut down for at least 4 hours out of each 24-hour time period, except for certain computers that are in use for 16 or more hours per day.

Denies payment of civil service retirement benefits and requires forfeiture of thrift saving plan (TSP) agency contributions for federal employees who are convicted of certain public corruption offenses.

Requires the Secretary of Defense to implement specified criteria in requests for overseas contingency operations.

Amends the National Energy Conservation Policy Act to direct each federal facility energy manager, not later than two years after completion of a comprehensive energy evaluation of a federal agency's facilities, to consider: (1) implementing any energy-saving or conservation measure that the agency identified in the evaluation that is life cycle cost-effective, and (2) bundling individual measures of varying paybacks together into combined projects.

Directs the Secretary of Health and Human Services (HHS) to examine, and report to Congress on, which payments may be made under both the Medicare Advantage Program and the veterans health care system or the TRICARE program for health care furnished to individuals eligible under such health care programs.

Amends title XVIII (Medicare) of the Social Security Act to provide Medicare beneficiaries with an option to receive statements of benefits in a electronic format.