After you throw the kylix dice do you have either a choice of using the four actions of the dice or challenging or do both? Its unclear whether you can challenge on the same turn you reach a city, settlement , hydra or other ship OR do you have to wait another turn to challenge.
The German rules state that one of the four actions is 'Sailing, and that this action includes "founding a Settlement or attacking a city or a fellow player, as apropriate".
Also, if you go to Styx and you alone have men, do you get the majority reward or do there have to be other player's men in the underworld for the majority rule to work?. Our 2player game seems to favor play for treasures but not settlements as you can recover men from the underworld by cards or going to Styx but you cannot retrieve the men at the settlement unless someone attacks there.
Why would you want to retreive your men from the Settlements? That would mean that you have wasted valuable actions. Hardly a step towards winning.
Even in multiplayer games is treasures favorable to settling. That's why no-one wants to move away from the lucrative cities near Athens.
The rule about Styx is that whoever has the sole majority of dead men scores two points. It also clarifies that no-one has the a shared majority doesn't qualify. Nothing is said about not receiving the award if you are the only one there.