The Game Theorists Guide to Parenting.

 

This book looks at many common child rearing problems through the eyes of Game theory.  What works. What are the pit falls.

 

How should you split chores?

How should you split cake?

How do you decide what movie to watch?

 

The book points out that the common cake splitting strategy—one child cuts, the other chooses—can be used in many situations. One child creates two lists of chores, the other chooses. One child creates to piles of toys. The other chooses.

 

All of these break down with three or more children, though there are complicated ways you can deal with this.

 

The book also has a section on voting and it's pitfalls. When you are voting for more than two things, then there are many corner cases were less preferable options will win.