The Hamptons is an exceptional enclave, where entertaining at home for small groups has long been a social staple. The Hamptons exerts an influence far beyond New York--its unique mix of luxury and old-world charm, which surrounds the villages, dunes, and beaches, has become synonymous with a coveted American lifestyle. It's also a foodie paradise where many residents take a back-to-basics approach to dining. They shop their local farmers' markets,...