NEW YORK — First there were McNuggets. Then there were Chicken McBites. Now McDonald’s could be adding Mighty Wings to its chicken menu.

The world’s biggest hamburger chain is set to expand its test of chicken wings to Chicago this week, after a successful run in Atlanta last year. The wings are being sold in servings of three, five, or 10 pieces with prices starting at $3, said Lynne Collier, an analyst with Sterne Agee.