De Beers is continuing its policy of offering almost unprecedented flexibility to diamond buyers as the mining company works to fend off a slump in demand for the gems, according to people familiar with the situation. The Anglo American unit extended the policy from its August sale to customers this week in Botswana, according to the people, who asked not to be identified as the matter is private. De Beers is allowing buyers to refuse half the stones in each parcel offered and also to sell back some diamonds to the company on favorable terms, the people said.