"DINK" is an acronym that stands for "double income, no kids" or "dual income, no kids". It describes a couple without children living together while both partners are receiving an income; because both of their wages are coming into the same household, they are free to live more comfortably than couples who live together and spend their money on raising their children. The term was coined at the height of yuppie culture in the 1980s. The Great Recession solidified this social trend, as more couples waited longer to have children or chose not to have children at all.
"DINKY" means "double income, no kids yet", implying that the couple in question is childless only temporarily and intends to have children later, rather than eschewing having children entirely. The British radio sitcom Double Income, No Kids Yet bore this name.
"DINKWAD" means "Double income, no kids, with a dog"