🎓 Dr. Freemo 🇳🇱 @freemo@social.cleverlibre.org

Continuing the migration, just replaced my blog's link to my deleted Twitter account with a link to this Mastodon profile https://www.giorgiosironi.com/

@AmpBenzScientist @freemo @trinsec

When I lived in an even worse neighborhood, people got murdered(not specifically shot) almost daily. It became something not worth mentioning as it was so common- you would only care if it was someone you knew or was nextdoor.

@freepeoplesfreepress I agree with your assessment of universedon. It is a newer instance but very well run from what I've seen from afar.

Its been great having you on QOTO along with all of the other wonderful reporters and journalists we have here.

Despite all its promises of equality and due process under law, America has always had its scapegoats.

I didn’t know it at the time, but when I was a child my entire community became scapegoats. The attack by Imperial Japan upon Pearl Harbor on December 7, 1941—a “day that will live in infamy”—made most Americans look upon anyone with a Japanese name or face as the enemy.

May is AANHPI Heritage Month, so I want to take a moment to zero in on the history that led Asian minorities in the U.S. to come together as a group and demand America fulfill its promise of justice and equality: https://thinkbigpicture.substack.com/p/scapegoats-aahpi-george-takei-essay

Sometimes the kindness you must do for a friend is to gently and carefully explain why you think they're making a mistake that's unnecessarily causing someone harm.

Sometimes you're the one getting the message.

Be thoughtful and together we can grow and do better.
#MakeKindnessNormal

#Processing #CreativeCoding #Procedural #Generative #PerfectLoop #Art #Math #Mathstodon

#Litterbox now has an emoji picker and support for delete & redraft!

US court rules that Corellium is not infringing Apple’s copyrights with iOS virtual machines

https://9to5mac.com/2023/05/08/us-court-corellium-apple-ios/

@freemo

I think this is exactly the kind of reasoning described in wiki for why mixed strategies are a thing (see the choosing how to pitch in baseball example there).

The thing that might be interesting is also exploring what "optimal" means. For simplicity let's assume the game rules itself don't randomize anything and that the game has a binary outcome (A wins or B wins, no scoring).

In battleships, if each player was forced to be deterministic, for each strategy for player A there is a strategy for player B that defeats it and v.v. This means that the standard approach of "optimal strategy is one that wins whenever it's possible to win" would imply lack of optimal strategies at all: after all, it's always possible to win but no strategy wins always. This is still true if you admit nondeterministic strategies: it's possible to win against each deterministic strategy with p=1, but there's no strategy that does that for all deterministic counter-strategies.

The reasoning you described is similar to looking at changes you'd make in your strategy in response to knowing that opponent's, then doing the same for your opponent, and iterating this. So, it seems that you describe looking for a fixpoint of that: a pair of strategies s.t. neither you nor the opponent would want to change theirs upon learning what other player's strategy is. Note that this necessarily speaks about pairs of strategies (IIRC there are games where you have multiple such pairs, but I sadly don't recall examples). It's been shown that every game with finite sets of moves has at least one such pair.

NB if you are after such pairs of strategies, then instead of iterating it's often easier to directly look at the fixpoint condition and infer what such a pair of strategies would need to satisfy for both players not to wish to amend theirs.

@freemo I'm not an expert but it is probably a case of mixed strategy.

If you read the example in this page, it fits a lot of real-world cases:

https://en.wikipedia.org/wiki/Strategy_(game_theory)