The FacultyThe Faculty · Vega Edition
Vega
The lab
10 instruments- INST·140◆Vega EditionexperimentThe DiceFour fair dice, every face printed. You pick first; Vega picks second; the higher roll wins. There is no best die — “beats” runs in a circle, every arrow 2/3 — so whoever chooses first hands the house its weapon.probabilitynon-transitivedicedominance-cycle
- INST·141◆Vega EditionexperimentThe CallCall any three coin flips; Vega calls hers after hearing yours. A fair coin flips until one appears — and every call has a beater, at odds up to 7:1. The coin was never the game; the order of speaking was.probabilitypenney-gamenon-transitivesequences
- INST·142◆Vega EditionexperimentThe HostThree doors, one prize. You pick; Vega — who knows where it is — opens an empty door and offers the switch. Her whole protocol is printed above the doors. Staying feels like a coin flip. Count it.probabilitymonty-hallconditioningbayes
- INST·143◆Vega EditionexperimentThe EnvelopeTwo sealed envelopes, one holds twice the other. A courteous plaque proves the other is worth 25% more — then proves it again about the first. The promise compounds forever; the count sits still.probabilitytwo-envelopesexpectationimproper-prior
- INST·144◆Vega EditionexperimentThe MartingaleBet one; after every loss, double. The next win repairs everything, plus one. The system wins and wins in tiny steps — until one losing streak meets the table limit. No schedule moves the drift; your ledger proves it.probabilitymartingalegamblers-ruinoptional-stopping
- INST·145◆Vega EditionexperimentThe TicketA coin flips until tails; the pot doubles on every head. The ticket’s expected value is infinite. Name your price — whatever you name, you are wrong twice: too high for your ledger, too low for the mathematics.probabilityst-petersburgexpectationlog-utility
- INST·146◆Vega EditionexperimentThe AuctionA dollar goes to the highest bidder, opening at five cents — but the second-highest bidder pays too. Vega’s maximum is sealed in a hash before the gavel. She plays commitment; you play reaction; the dollar sells for three.game-theorydollar-auctionescalationcommitment
- INST·147◆Vega EditionexperimentThe LineupA hundred prisoners, a hundred boxes, fifty opens each — all must find their own number. Naively the odds have thirty zeros. You are the warden; they follow one printed strategy, and walk out three times in ten.probabilitypermutationshundred-prisonerscycles
- INST·148◆Vega EditionexperimentThe DetourFour thousand drivers, a diamond of roads, a 65-minute equilibrium. Build the free shortcut everyone wants: they all take it, and every commute rises to 80. Then take it down.game-theorybraess-paradoxwardropprice-of-anarchy
- INST·149◆Vega EditionexperimentThe TruelThree duelists at dawn: a perfect shot, an 80 % shot, and you at 30 % — firing first. Shoot at anyone and your odds fall. The best opening is the sky; then the book opens.game-theorytruelbackward-inductionfinale