This Moose Belongs to Me by Oliver Jeffers

From Philomel Books:

From the illustrator of the #1 smash hit The Day the Crayons Quit comes the age-old tale of a boy and his moose . . .

Wilfred is a boy with rules. He lives a very orderly life. It's fortunate, then, that he has a pet who abides by rules, such as not making noise while Wilfred educates him on his record collection. There is, however, one rule that Wilfred's pet has difficulty following: Going whichever way Wilfred wants to go. Perhaps this is because Wilfred's pet doesn't quite realize that he belongs to anyone.

A moose can be obstinate in such ways.

Fortunately, the two manage to work out a compromise. Let's just say it involves apples.

Oliver Jeffers, the bestselling creator of Stuck and The Incredible Book Eating Boy, delivers another deceptively simple book sure to make kids giggle.