Hotchpot

Hotchpot \HOCH-pot\ , noun;
1. The bringing together of shares of properties in order to divide them equally

Kind of reminds me of when your mom makes you pool Halloween candy so everyone gets the same amount. Nobody wins.

This word dates to the late 14th century from Anglo-Norman and Middle French hochepot, which was both a legal term similar to the above definition and a word for "a dish containing a mixture of many ingredients," usually referring to a kind of stew made with minced beef or goose and a bunch of veggies. It's a combination of hoche + pot ("to shake" + "a cooking pot"). Hoche and pot were borrowed into French via Anglo-French from a Germanic source.