In modern Jewish literature, there are references to God being "lonely", which justifies His involvement in our fortunes; witness the piece below by 20th-century rabbi Eliezer Berkovits. Are there hints of this concept in Chazal?
We are lonely in the world but we are not alone in our loneliness. A greater one than we is lonely too: God. Mighty and exalted is He, but He is alone. We Jews are alone in our misery, so is He in all His might and Glory. There is no place for us, neither is there any for Him. The system of living in the world has been devised without us, neither has God had much say in it.
God in all His Might and Glory is patiently waiting for the New Man to deliver Him from His loneliness by making Him the corner-stone of human life. God is waiting for the company of a mankind to come. Can it be our task to-day to go out and fraternise with life as it is, to accept life as it is, and thus to augment the solitude of God?
We are lonely, and it is hard to bear loneliness. But let us not forget that there is a great company of the lonely ones. There is God who is lonely, there are Justice, Truth, Freedom, Goodness—they are all very lonely. Let us remain faithful to their company.
Only after we have delivered God Himself from His loneliness, only after the great human ideals break through their present splendid isolation and are realised in the everyday life of men, shall we Jews be redeemed from the prison of our solitude.