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Working as part of the service giant's government sector, Barak will advise EDS' chief executive Dick Brown on international business and policy issues, focusing largely on how governments will change their way of governing and how IT can help them.
A spokesman for EDS said the former Israeli prime minister had been chosen for his experience in dealing with both governments and large organisations.
Sources in Israel said Barak's contact with EDS may have come about through former US secretary of state James Baker, who holds a position on the board at the services giant. Baker was the principal architect of the 1993 Madrid peace process, a failed US attempt to find a solution to the Arab-Israeli conflict.
It is not clear what, if any, experience Barak has with IT. Barak was Israeli prime minister from May 1999 to March 2001. It was during his tenure that the second Palestinian uprising started.
EDS has subsidiaries in Israel and Egypt, and government consultancy projects in the Persian Gulf.