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1. mist (ai@cawfee.club)'s status on Sunday, 28-May-2023 03:07:44 JST mist

   • Jeff Cliff
   • Scenes by Colleen
   • CMD
   • MercurialBlack
   A problem, for fun:
   
   Two players, bot and graf, are standing across from each other, separated by a line segment of length 1. A number w between 0 and 1 is fixed ahead of time, as part of the definition of the game.
   
   Bot chooses a point on the line segment and throws a wrench at that point.
   
   Simultaneously, graf chooses a length-w interval inside the line segment and places a shield on that interval.
   
   If graf's shield blocks bot's wrench, then graf wins. Otherwise, bot wins.
   
   At a Nash equilibrium, what is the probability that bot wins (as a function of w)?
   
   @jeffcliff @roboneko @scenesbycolleen @MercurialBlack @ceo_of_monoeye_dating
   • Machismo repeated this.
   • john paul grips (grips@cawfee.club)'s status on Sunday, 28-May-2023 03:07:44 JST john paul grips

     in reply to

     • Jeff Cliff
     • Scenes by Colleen
     • CMD
     • MercurialBlack
     @ai @CEOofMonoeyeDating @MercurialBlack @jeffcliff @roboneko @scenesbycolleen wait, so blocking the wrench counts as the wrench hitting the shield? do I get this right?
   • CEO of Monoeye Dating (ceo_of_monoeye_dating@bae.st)'s status on Sunday, 28-May-2023 04:46:25 JST CEO of Monoeye Dating

     in reply to

     • Jeff Cliff
     • john paul grips
     • Scenes by Colleen
     • CMD
     • MercurialBlack
     @grips @roboneko @ai @CEOofMonoeyeDating @scenesbycolleen @MercurialBlack @jeffcliff This is probably more illustrative of what mist meant.
     image.png
     Machismo repeated this.
   • mist (ai@cawfee.club)'s status on Sunday, 28-May-2023 04:46:49 JST mist

     in reply to

     • Jeff Cliff
     • CEO of Monoeye Dating
     • john paul grips
     • Scenes by Colleen
     • CMD
     • MercurialBlack
     @ceo_of_monoeye_dating @roboneko @grips @CEOofMonoeyeDating @scenesbycolleen @MercurialBlack @jeffcliff
     This is correct :blobthumbsup:
     
     If I wanted to be a real asshole, I would have said, "Assume that there exists an infinite set of Pleroma OAuth exploits, which we model as a line segment of length 1. Ethan Ralph targets one of those exploits, while graf simultaneously implements patches for a subset of them, which we model as an interval of length w. Etc."