Yes, both of those are real, but it's not like Great Britain has a monopoly on them, these activities and similar occur worldwide.

Also, modern media paints a rather disingenuous portait of it all. It's not like the rich are abducting poor people and forcing them to compete in these activites. They're all well paid proffessionals that're competing entirely of their own volition, and despite the name, it is exceptionally rare for someone to die in these games. Many of these 'runners' as they're called, are beloved and celebrated heroes, no less venerated than other mainstream sports players. When someone does die, it's always treated as a devastating loss / tragedy.

While human countryside hunts do use live ammo, they're of a lower caliber, and the runners all wear protective gear. They also have a tendency to be ex-death game veterans. Sure, the occasional bullet connects with flesh, but actual deaths during these hunts are practically unheard of.

Then there's the death games themselves, which itself is a bit of a misdemeanor. Yes all participants can potentially die, and there have been deaths in the past, but it's very far from being a regular occurance. These are all well-paid proffesional athletes not at all disimilar from the gladiators of old. The worst thing that typically happens is dismemberment, or some kind of disfigurement, they sit out a season while their re-attached digit/limb heals.

It's certainly not hundreds of debtors kidnapped en masse, held against their fill and forced at gun point to compete in deadly games of chance, skill, and social intrigue, or last man standing deathmatch battle royales where participants fight with pot lids.

Reality is far less glamourous than fiction.