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Within this paper we develop and apply new methodology adequately includingundecided voters for the 2021 German federal election. Due to a cooperationwith the polling institute Civey, we are in the fortunate position to obtaindata in which undecided voters can state all the options they are stillpondering between. In contrast to conventional polls, forcing the undecided toeither state a single party or to drop out, this design allows the undecided toprovide their current position in an accurate and precise way. The resultingset-valued information can be used to examine structural properties of groupsundecided between specific parties as well as to improve election forecasting.For forecasting, this partial information provides valuable additionalknowledge, and the uncertainty induced by the participants' ambiguity can beconveyed within interval-valued results. Turning to coalitions of parties,which is in the core of the current public discussion in Germany, some of thisuncertainty can be dissolved as the undecided provide precise information oncorresponding coalitions. We show structural differences between the decidedand undecided with discrete choice models as well as elaborate the discrepancybetween the conventional approach and our new ones including the undecided. Ourcautious analysis further demonstrates that in most cases the undecideds'eventual decisions are pivotal which coalitions could hold a majority of seats.Overall, accounting for the populations' ambiguity leads to more credibleresults and paints a more holistic picture of the political landscape, pathingthe way for a possible paradigmatic shift concerning the adequate inclusion ofundecided voters in pre-election polls.

Towards a Paradigmatic Shift in Pre-election Polling Adequately  Including Still Undecided Voters -- Some Ideas Based on Set-Valued Data for  the 2021 German Federal Election