In a large skillet, cook ground beef and 1 tsp. salt over medium-high heat, breaking up beef with a spoon, until meat loses its pink color, about 8 minutes. Drain excess fat from pan.
Add meat to slow cooker along with 2 cups water, tomato paste, onions, garlic, chili powder, oregano, cocoa, cinnamon, allspice and cayenne pepper. Cover and cook on low for 5 to 7 hours. Add beans and cook 1 hour more, stirring in an additional 1/2 cup water if chili looks dry. Season with salt.