Which parenting style is undemanding and uncontrolling, but is also accepting and responsive?

According to the psychologist Baumrind, this style of parenting is known as permissive or indulgent parenting.

Permissive parenting involves setting low demands and expectations on children while simultaneously being a responsive, caring and accepting parent. Permissive parent is not a good parenting style since children are inevitably rewarded by their parent's love and acceptance despite not doing well in school, behaving badly and evading responsibility.