What new game do Dill, Scout, and Jem play in To Kill a Mockingbird?

In chapter four, Dill, Jem and Scout begin playing the new
game that involves a drama of acting out the family life of the Radleys. Jem becomes Boo
Radley. Dill is old Mr. Radley, and Scout becomes Mrs. Radley. The three of them reenact
all the gossip about the Radleys that had been passed down through the
years:

It was
a melancholy little drama, woven from bits and scraps of gossip and neighborhood legend:
Mrs. Radley had been beautiful until she married Mr. Radley and lost all her money. She
also lost most of her teeth, her hair, and her right forefinger (Dill's contribution.
Boo bit it off one night when he couldn't find any cats and squirrels to eat.); she sat
in the living room and cried most of the time, while Boo slowly whittled away all the
furniture in the house.

Dill,
Jem, and Scout play this game over the summer. The new game involves not only the
community gossip, but it involves the children's additions to the legends. The children
are so involved in their drama until they pass many hours playing this new game. They do
not really think that their new game could be interpreted as disrespectful to the
Radleys. They have begun to think of the Radleys as fictional
characters:

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This shows that they regard the family as almost
fictional. They give little thought to the fact that their game may be hurtful to
thinking, feeling humans behind the Radley
windows.

When Atticus asks if
their drama has anything to do with the Radleys, "Jem denies that it does and Atticus
goes inside." At least, this indicates to the children that Atticus would not be pleased
with their new game. Still, they play their new game because they are fascinated with
the beings who live in the Radley house.