Resources
There are three types of resources in the game. All resources are stored in a player's hold and carry over between rounds.
Dice
Dice are used to pay the buy requirements on market cards, or (if colored) to trigger dice actions. Unused dice carry over in your hold between rounds.
Gold
Gold is used to pay buy requirements on market cards, to remove extra sabotage markers from quest cards (2 gold per extra marker), and to trigger active card abilities. Gold can be stolen by Piracy dice actions.
Rum
Rum is used to pay buy requirements on market cards, to trigger active card abilities, and for dice manipulation (such as the pirate's always-active conversion). Rum can be stolen by Fighting dice actions.
Influence from Resources
Gold and rum do not directly generate influence. They are spent to buy cards, activate card abilities, remove sabotage markers, and use your pirate's conversion ability. Accumulating resources is valuable because it fuels the actions and purchases that earn influence.