Duck Breast with Apples and Potato Goulash: Petto dAnitra al Aceto di Mele

Name: Duck Breast with Apples and Potato Goulash: Petto d'Anitra al Aceto di Mele
Ingredients: 2 1/4 pounds duck breasts; Salt and pepper; 1/4 cup unsalted butter; 2 Empire apples, peeled, cored and cut into 1/4-inch dice; 1/4 cup red wine vinegar; 10 to 15 pink peppercorns; Potato Goulash, recipe follows; 1 tablespoon extra-virgin olive oil; 1 large onion, sliced into 1/4-inch rings; 2 pounds small waxy potatoes, cut into quarters; 2 tablespoons paprika; 1 tablespoon tomato paste