Mechanism design in parenting
A challenge that every parent with more than one child faces at some point is how to split something (let’s say a giant piece of cake) between the children. Here’s my optimized two-child solution to this problem, as well as solutions that don’t work.
First, what doesn’t work:
- Splitting the cake yourself and choosing who gets which piece. Reason: regardless of how evenly you split the item, you risk being accused of favoring one child and giving them the bigger piece.
- Having one kid split the cake and the other kid choosing which half to take. Reason: my kids quickly deduced that they are not yet steady-handed enough to cut things evenly, so neither ever wants to do the splitting.
So here’s the optimized solution, where by “optimized” I mean no one complains about unfairness (in expectation, kids can always complain of course).
- I split the cake the best I can.
- If the kids agree on who wants which piece, that split is implemented.
- If there’s disagreement, I hold either one or two fingers behind my back. Each piece is assigned a number (1 or 2).
- One child tries to guess the number. If they guess correctly, they get that piece. If they don’t guess correctly, they get the other piece.
- The second child stands behind my back and acts as the enforcer to make sure I don’t change the number of fingers.
Overly complicated? Sure. But also kind of fun.
If you have any other solutions, let me know!




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