I will divide "Pangea" ("the land of everything", i.e. basically an infinite land where everything happens somewhere in it) into three "regions":
In Panchronia (a virtual reality where everyone has everything they want), there are no other people, so the problem of conflicting desires does not arise. However, in Achronia and even Demichronia, conflicting desires can indeed arise (though IMHO Demichronia handles them far better than Achronia does). Here is a tentative list of possible methods of resolution of conflicting desires (note, it's not that I advocate for these, it's just a list of approaches that can be used):
1: The strongest dominates the weak. Approach often used in Achronia. For example, a government does not want people to say a certain thing, or to use drugs, or be homosexual, or to practice a certain religion. A certain person does want to do some or even all of those things. The desires conflict. The solution is that the government (who is stronger than an individual, or even a group of individuals) uses violence, abuse and fear to get what the government wants. The government gets what they want and the civilian does not. It's common that stronger individuals or groups get what they want by dominating the weaker.
2: Lack of interaction. Approach often promoted by Libertarianism and similar ideologies. If the nature of two conflicting desires is such that one of them involves lack of interaction, then that one is chosen. For instance, let's say a guy wants to have sex with a girl, and the girl does not want to have sex with him, the option chosen is the one that involves a lack of interaction, so in this case the girl gets what she wants.
3: Turn-based. Reciprocity-based time-variable choice. E.g. "today we'll do things the way you want, but tomorrow I'll decide", or perhaps the same but replace "today" with "this morning" and "tomorrow" with "this evening". May resemble a very rudimentary form of Demichronia, though one not necessarily based on "roles" (note: actual Demichronia is impossible with just two individuals, you need at least, I guess a few thousand people? Maybe more? Idk but definitely not just two).
4: Utilitarian choice. If at least one person will have to be "unsatisfied" (in the sense that his/her desire will not be fulfilled), then the choice is whatever causes less psychological unpleasantness to the "unsatisfied" person.
5: King for a Day (yes, it's a Pierce the Veil reference, lol): every day, a person randomly gets extracted, and for a day, everything should go the way that person wants (as long as it's physically realistic, of course, lol). Everyone has the chance to become the ruler for a day. This is extremely dangerous, however, because if an extremely misanthropic person gets extracted, that person may ask everyone to kill themselves, and the entire city dies.
5.1: King for a Day with-some-exceptions(TM): same as above but with some exceptions regarding violence, abuse, extreme humiliation etc. but most desires are fulfilled for that person.
6: Full-scope slavery: there is one or a few people whose job is to fulfill all desires of their "masters" (customers?).
7: Full-scope slavery for every worker (Isomorphic Demichronia): every worker, in their work time, must fulfill the wishes of their customers, even if the wish is unrelated to one's job, e.g. if someone asks a plumber for a passionate kiss on the lips, the plumber must do that.
8: Partial-scope slavery for every worker (a.k.a. what is known in the modern world as "work"): this is the system that I called "Sandboxed Demichronia", or just "Demichronia" for short. Every worker has their own role, e.g. a plumber only does plumber-related tasks in their work time, so if a customer asks the plumber for a passionate kiss on the lips, the plumber doesn't have to do that, because that falls outside of the role of the plumber. However, for every wish, there must be at least one worker whose job is to fulfill that type of wish, so if someone wants a passionate kiss on the lips, there is a worker (e.g. a professional partner) whose job is to offer that kind of experience.
9: "Wishful thinking voluntary Demichronia" (I suck at giving names, lol): basically, for every wish, one (through wishful thinking) believes that there almost certainly is someone out there (e.g. in the same city, or in an area otherwise accessible) who can fulfill that wish. There are two subcategories, "wishful thinking accessible voluntary Demichronia" and "wishful thinking non-accessible voluntary Demichronia". The difference is that in the former category, people who are willing to fulfill a certain wish exist and can be easily found (through some method or another), whereas the latter says that people who are willing to fulfill a certain wish exist but cannot be easily found, as there are no mechanisms that can easily let people meet with each other based on their interests and wishes.
More coming soon? Maybe.