Like all actions, each component action can be performed once per round. Multiple investigators cannot perform the same action on a component during a single round, except for local actions. For example, if an investigator uses a component action on an Asset and then trades it to another investigator, the new owner cannot use the component action that round.
An action ability on an Investigator sheet can be performed only by that investigator.
An action ability on a possession or Condition can be performed only by the investigator who has the card.
Some components have local action abilities which can be performed by any investigator on that space.