As an example, Germany is well known for having the problem of forming a coalition due to a large number of parties being elected to their legislative body. I imagine this can be frustrating to some voters who might prefer a stable coalition, even if it means their favorite party can no longer participate. One way to achieve this is to have people vote on the final composition of the parliament, rather than individual parties. This would be highly convoluted, but same can be told of many theoretical voting systems.
Does such a system exist, at least in voting theory?