This is only really true in FPTP systems. In any of the transferable vote or alternative vote systems that's far less of a problem.
Meanwhile, in my country a political party only needs 2% of the vote to be represented in parliament and this will grant them approximately 2% of the seats since we use a proportional system. When people know that their votes likely won't be wasted, they tend to not vote tactically, preferring to vote on issues instead.
Anyway, I mostly hear people in FPTP countries (US and UK) talk about transferable vote or alternative vote, but AFAIK these are not really in common use. I think most of Europe uses the party-list system for proportional representation (https://en.wikipedia.org/wiki/Party-list_proportional_repres...).
Obviously this applies only if your party has less than 50% of the votes, but in multi-party democracies its more unusual for one party to have 50% (or more) of the votes.
I have no opinion on that as an alternative for two parties systems, just found it interesting and an often neglected part of the conversations.
In a republic the head of state is usually directly elected; in a constitutional monarchy, the head of state is usually hereditary. Whether the head of state has any real power varies greatly.
The head of government (e.g. the prime minister) is most often NOT directly elected at all, since most multiparty democracies apply parliamentarism, i.e. the parliament has the power to select and remove the head of government.
So the voters focus on voting for parliament members and the head of government is INDIRECTLY elected by the winning _coalition_, so the head of government usually represents a coalition rather than a party. This a bit more dynamic as the coalition can change in between elections when parties realign, sometimes resulting in a new head of government or an early election.