Some of the thousands of people who gathered in Cooperstown, N.Y., on Sunday for the annual induction ceremony into the National Baseball Hall of Fame no doubt visited the attached museum to gaze at items connected to memorable moments or the greats of the game.

But one display, near the center of an exhibit called “Today’s Game,” may have surprised some visitors because of its ties to the Occupy Wall Street movement.

Inside a glass case was a white jersey with flowing blue lettering and a blue hat that might seem vaguely familiar to Brooklynites of a certain vintage. The team name, however, was the Tax Dodgers; the hat displayed a 1 percent logo.

The items, which were donated by a satirical street theater group tied to Occupy Wall Street, have been included in the Hall of Fame Museum not because of their political content but because they reflect baseball’s prominent place in the national landscape, said Tom Shieber, senior curator at the museum....