The dichotomy above is impossible to interpret. What does that even mean. So when a democracy is representative, the minority's will can override the majority's will? Then what does the representation part in the representative democracy mean.
> So when a democracy is representative, the minority's will can override the majority's will?
Yes, and this is a feature, not a bug. Majority voting on issues one at a time cannot generate a deal that a majority would prefer when the compromise is presented as a block. Eg, if there are six different compatible single-issues that 10% of the people care solely about each, each individual one would get voted down 90-10, while representatives can make a bargain that delivers a combined platform approved of by 60%.
That's not relevant. You are talking about coalition governments, in which the ensuing coalition government still represents the will of the majority. Each ~20% segment of the population represented by the 20% participant in the coalition government pushing forth ~20% supported issues and passing them does not mean that those are the will if the minority. It means that only 20% want to pass it now, but the rest do NOT object to its passing. That's still a majority government.
For a democratic majority-minority situation to occur, you must have 20% of the population wanting to pass something, but at least 20% of the population opposing it.
In this hypothetical, the rest do object to the pet issues of others in the coalition, but only weakly. Like, I personally would vote against corn subsidies by itself, for abortion rights, and for a package of (corn subsidies plus abortion rights). The exact policies I mentioned don't particularly matter, I'm sure you can find your own set of two issues that you'd vote this way on if it came down to it - the issues you have an opinion on, but you'd hold your nose and concede the issue if it was the price of something really important to you.
And when two or more minority interest groups feel this way on each other's issues, it is a failure to enact the "will of the people" if you use strict issue-by-issue majoritarianism. After all, each individual pet issue fails on its own merits - they just aren't broadly popular enough.
Fundamentally, the issue is that strengths of preferences do not show up in a referendum on a topic. Furthermore, there's no way to credibly commit to a compromise that gets you something important in exchange for a relatively unimportant concession. I'm not saying these issues outweigh the benefits of direct democracy, they're just problems that can get solved by a representative system.
> In this hypothetical, the rest do object to the pet issues of others in the coalition, but only weakly
That means that the majority wants those issues. If 20% of the population wants something, 10% opposes it, and 70% doesnt care if it passes, it means that a majority wants that policy to pass. The majority does not need to be for something explicitly for it to be a majority decision. There has to be more people in a society wanting something than those who dont, and the rest not objecting to that policy. Its still a majority decision.
> If 20% of the population wants something, 10% opposes it, and 70% doesnt care if it passes
That isn't the hypothetical I'm using to make my point. Obviously if you change the hypothetical you come up with different results, but then it isn't the scenario I'm using as an intuition pump.
Like, what I'm getting at is that there are sometimes policies you want your government to pass, even though more people oppose it than support it and nobody being truly undecided. Not all policy choices are equally important, and not everyone considers all policy choices equally important. A referendum is structurally incapable of enacting policies with minority support, for good or for bad. It's usually for good, true, but there are circumstances where you can do better by making sure that people think that the important policies are implemented, even at the cost of the majority not getting their way on relatively unimportant matters.
Something like a policy proposal costing a low but non-zero amount of money for exactly zero benefit outside of the eyes of the 10% who really care about their pet cause. The non-packaged proposals get voted down not because the majority hates them, but because they don't care, at least not like the special interest does.
If a vector space is more your jam, imagine a six-dimensional vector space of policies, and each of these six hypothetical interest groups as voting for any combination of policies with a positive value along the axis in question, and against any combination of policies with a negative value. [100, -1, -1, -1, -1, -1], [-1, 100, -1, -1, -1, -1], etc, will each get voted down when presented individually as policies, but their sum as a package gets supported by each interest group.
The dichotomy above is impossible to interpret. What does that even mean. So when a democracy is representative, the minority's will can override the majority's will? Then what does the representation part in the representative democracy mean.