In D&D 4e there was an option to Delay your initiative:
Perform your actions as desired and adjust your initiative to your new position in the order.
Does this rule to change initiative order still exist in 5th edition? I cannot find it in the PHB.
In D&D 4e there was an option to Delay your initiative:
Perform your actions as desired and adjust your initiative to your new position in the order.
Does this rule to change initiative order still exist in 5th edition? I cannot find it in the PHB.
No. There is no delay action in the PHB or BD&D.
The only way to postpone your action is to ready an action† and wait for the specified trigger. Using this action burns your reaction, but does not change initiative as in previous editions.
There is actually no way to jump around the initiative order (temporarily or permanently) at all at this time in 5e.
†: The rules for readying an action can be found on page 193 of the PHB or here in the Basic Rules.
No, according to the sage advice.
They explain in the Rules Answers: August 2015 that being able to delay your turn can let you wreak havoc on the durations of spells and other effects. Simply by changing when your turn happens, you could change the length of certain spells and other effects, particularly any of them that last until your next turn.
Although there is no "Delay" action in 5e, there are a couple of Initiative Variants in the DMG, having a similar functionality.
Side Initiative:
When it's a side's turn, the members of that side can act in any order they choose.
If the DM uses Side Initiative, players are free to choose their turn order every round.
Speed Factor:
Speed factor is an option for initiative that introduces more uncertainty into combat, at the cost of speed of play. Under this variant, the participants in a battle roll initiative each round.
If the DM uses Speed Factor, a player can't actually choose to delay their turn, but his initiative is being rerolled every round, and the player's actions affect its modifier.
See more details in DMG, Chapter 9, under "Combat Options" (page 270).