#attacking requirements

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Goading a creature creates two attacking requirements for that creature. It both has to attack each combat if able and attack a player other than the player who goaded it if able.

When a creature is declared as an attacker, it must attack in such a way that it satisfies the maximum number of attacking requirements without violating any attacking restrictions.

Let's say that Player B has put Shiny Impetus on the creature and Player C has attached their Bloodthirsty Blade to it. When Player A is declaring attackers, their creature has four attacking requirements on it and no attacking restrictions. It has two requirements to attack each combat if able, one requirement to attack a player other than B if able, and one requirement to attack a player other than C if able.

It's impossible to satisfy all four requirements since there are no players it can attack other than B or C, so next we check to see if it's possible to satisfy three requirements. This is possible by attacking either Player B or Player C. Attacking a planeswalker isn't an option since doing so would only satisfy two requirements and so isn't a valid choice when one that satisfies more requirements exists.

Once again we come to the classic battle between attacking requirements (i.e. Nahiri's +1) and attacking restrictions (i.e. Ghostly Prison).

Whenever a player declares attackers, they must fulfill the maximum number of requirements possible while not violating any restrictions. (Note that a player is never forced to pay to attack with something like Ghostly Prison in play). If an attack is declared that doesn't do, then it's an illegal declaration and a legal attack must be declared instead.

A creature can never attack its controller. That just doesn’t happen in black-bordered Magic.

When you goad a creature, you create two attacking requirements on the creature until your next turn: First of all, it has to attack each combat if able. Secondly, it has to attack another player if able. 

In a situation where there are only two players left in the game, an opponent’s goaded creature won’t be able to fulfill that second requirement, but it will be able to fulfill the first requirement by attacking you or a planeswalker you control, so it must do so if able.

He never has to attack the other player unless he wants to.

When you goad a creature, it creates two attacking requirements on that creature: It has to attack if able, and it has to attack a player other than you if able. Ghostly Prison creates an attacking restriction that can be ignored by paying 2 when the attack is declared.

When the goaded creature goes to attack, it must obey as many requirements as possible without violating any restrictions. Your opponent is never required to pay for Ghostly Prison, even for a creature that has to attack, so unless your opponent chooses to pay 2, we can ignore the “attack another player” requirement. This means that the creature just has to attack if able, so its free to attack you, or a planeswalker you control, or a planeswalker that the Ghostly Prison player controls. All of these fulfill the requirement without violating a restriction. The only thing they can’t choose to do here is to not attack with the goaded creature.

You can never be forced to pay a cost to attack, such as for Ghostly Prison. Paying such a cost to attack is part of declaring attackers. The active player chooses which player or planeswalker each creature is attacking, then pays any required costs. If there are costs that can’t be paid or aren’t paid, then the declaration of attackers is illegal and a legal set of attackers needs to be declared. The set of attackers is also illegal if less than the maximum possible number of requirements to attack are being fulfilled.

What this means for Fumiko is that each creature controlled by an opponent of Fumiko’s controller that can attack must do so. If that creature’s control doesn’t want to (or can’t) pay for it to attack the controller of Ghostly Prison, then that player must choose a different player or planeswalker for it to attack. It only gets to not attack if every possible attack requires a cost to attack.

Players are never forced to pay a cost to attack for something like Propaganda. Such an effect will basically undo the requirement set up by Trove of Temptation if you don’t control a planeswalker. (If you do, your opponent must attack it, or pay to attack you.)