Deckless characters start each scenario with 1 Skill Point per level. So, a 3rd level deckless character begins every scenario with 3 Skill Points. This starting value is also the character's maximum Skill Point value.
Upon playing an Action or Reaction, the player may choose to spend one Skill Point to increase one entry's dice level by 1 or three Skill Points to increase one entry's dice number by 1. The player may choose to spend as many Skill Points as they wish in this manner (until they run out). For instance, a player could spend 2 Skill Points to boost Hit dice levels by 2 and 4 more Skill Points to boost Damage dice number and level by 1 each, all on the same Action.
In combat scenarios, a deckless character with 2 weapons equipped may spend 3 Skill Points to play an Action from each of them during the Action Phase. This option is strictly limited to 2 weapons; a third Action from yet another weapon can't be played, tools and implements are not viable options, etc.
Effects that require an entity with Skill Points to draw a card instead increases Skill Points by an equal amount (and may go over the maximum value). This includes drawing cards during the Draw Phase and spending a Strategy to draw additional cards. However, Skill Points over the maximum are lost during the discard portion of the Discard Phase. At level 6 or higher, entities with Skill Points gain one additional Skill Point during the Draw Phase and one additional Skill Point when spending a Strategy to gain them.
Effects that require an entity with Skill Points to discard a card instead decreases Skill Points by an equal amount (to a minimum of 0).
Changes to hand limits instead change a deckless character's Skill Point maximum value. This value cannot be reduced below 1 through such means, but there is no upper limit.
Entities that are Confused cannot spend Skill Points, and entities that are Muddled cannot recover Skill Points.
For more information, see Player's Guide Appendix B: Deckless Characters.