Faced with public demonstrations of discontent by its employees, Wal-Mart Stores has developed a wide-ranging new program intended to show that it appreciates its 1.3 million workers in the United States and to encourage them to air their grievances.

As part of the effort, Wal-Mart managers at 4,000 stores will meet with 10 rank-and-file workers every week and extend an additional 10 percent discount on a single item during the holidays to all its employees, beyond the normal 10 percent employee discount.

The program, described in an internal company document, was created during a volatile six months period, starting when the company instituted a set of sweeping changes in how it managed its workers.

Over that time, Wal-Mart has sought to create a cheaper, more flexible labor force by capping wages, using more part-time employees, scheduling more workers at nights and weekends, and cracking down on unexcused days off.