This is a fun scenario. The spear has always been relevant throughout the ages of melee weapons. It seems like edged weapons grew bigger and more varied until their peak and then with the invention of the crossbow and further on down to the firearm, edged weapons grew smaller and became a tertiary/back up to the firearm. Tomahawks and Bowie knives in the ‘frontier days’ etc. Until knives were pretty strictly utilitarian in use. A lot of soldiers and police just carry folders nowadays.
There has been a recent resurgence of the tomahawk in popular culture and Downrange, mainly for breaching sometimes for other fun. I am partial to big knives myself, but used a 5 in. Kabar BK17 the most when I deployed.
considering the ammo wouldn’t all run out at once people would see the writing on the wall and start carrying knives and hatchets, maybe machetes at first. Folks who appreciate a finely crafted edged weapons are a small community and so a lot of what we would see would be from your local sportsman’s or Walmart. Utility type blades and clubs. Bows and crossbows would come out. As the ammo supply continued to dwindle I think edged weapons would get bigger and more varied like they did in history but at a faster rate with society’s foreknowledge of history. That being said, given the sprawling metropolises that are everywhere I would bet our edged weapons would only extend to a certain length and short ‘tactical’ swords, hawks, and long knives would hold sway for a while.
For myself, I’d carry a sword/machete, tomahawk/hatchet, utility/fighting knife and a multi tool. i have lots of hawks knives and swordlike objects so specific options are limitless. I also have a nice tacticool takedown bow that can strap to a pack.
For those that like to read, SM Sterlings ‘The Change’ series is a great read if this topic is interesting to you. Cataclysmic event renders electricity and gun powder useless. Society breaks down and builds itself back up from gangs to tribes to the feudal system. Pretty cool.