In the specific case of iteration, I’m not sure that works so well for multiplayer games? It would depend on details, but e.g. if a player’s only options are “cooperate” or “defect against everyone equally”, then… mm, I guess “cooperate iff everyone else cooperated last round” is still stable, just a lot more fragile than with two players.
But you did say it’s difficult, so I don’t think I’m disagreeing with you. The PD-ness of it still feels more salient to me than the SH-ness, but I’m not sure that particularly means anything.
I think actually, to me the intuitive core of a PD is “players can capture value by destroying value on net”. And I hadn’t really thought about the core of SH prior to this post, but I think I was coming around to something like threshold effects; “players can try to capture value for themselves [it’s not really important whether that’s net positive or net negative]; but at a certain fairly specific point, it’s strongly net negative”. Under these intuitions, there’s nothing stopping a game from being both PD and SH.
Not sure I’m going anywhere with this, and it feels kind of close to just arguing over definitions.
Thanks, that makes sense.
Rambling:
In the specific case of iteration, I’m not sure that works so well for multiplayer games? It would depend on details, but e.g. if a player’s only options are “cooperate” or “defect against everyone equally”, then… mm, I guess “cooperate iff everyone else cooperated last round” is still stable, just a lot more fragile than with two players.
But you did say it’s difficult, so I don’t think I’m disagreeing with you. The PD-ness of it still feels more salient to me than the SH-ness, but I’m not sure that particularly means anything.
I think actually, to me the intuitive core of a PD is “players can capture value by destroying value on net”. And I hadn’t really thought about the core of SH prior to this post, but I think I was coming around to something like threshold effects; “players can try to capture value for themselves [it’s not really important whether that’s net positive or net negative]; but at a certain fairly specific point, it’s strongly net negative”. Under these intuitions, there’s nothing stopping a game from being both PD and SH.
Not sure I’m going anywhere with this, and it feels kind of close to just arguing over definitions.