The best replacement for martingale is markov.

The best alternatives to martingale are rated as following:
★★★★★  markov
★★★★★  prong collar
★★★★  tie down
★★★★  markov process
★★★  random walk
★★★  draw reins
★★★  choke collar
★★  limited slip collar
★★  gentle leader
★★  standing martingale
★★  anti-martingale
★  breastplate
★  running martingale
★  fibonacci
★  labouchere
★  training forks
★  choke chain
★  breast collar
★  german martingale
  flat betting
  standing
  slip lead
  prong

Your alternative for martingale is not listed? Suggest!
Speaking about martingale, one probably shouldn't forget about breastplate.

Other search terms related to martingale and their ratings are:
★★★★★ breastplate
★★★★ double reins
★ pelham
★ hackamore
You have in mind a companion for martingale and it is not yet here? Propose!



Google Trends

Scale is based on the average worldwide traffic of martingale in all years. Click on graph for more.
martingale
markov
prong collar