Joined November 2015
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Videos lectures for my entire First Course in Probability New material will be released every few days for the next several months. Subscribe for announcements. youtube.com/playlist?list=PL…
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Harry Crane retweeted
Research Brief: Estimating U.S. User Activity in Offshore Prediction Markets Key Findings: - $ 11-27B of Polymarket volume May 2025-April 2026 is attributed to U.S. users - $ 11-34B of all offshore volume came from U.S. users Full report below: cranezeng.com/prediction-mar…
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Harry Crane retweeted
The fact that ANY player limit regs are on the books shows that players do have a voice. The OSBs fought this tooth and nail. Hats off to my @bettorsvoice colleagues @spanky @RichardSchuetz3 and @HarryDCrane. One step at a time.
Sharps don't love how OSBs are handling @MassGamingComm's new limiting rule, but @SquirrelSigma tells @G_Insider: “They’ve proven they want to get this right ... Every state gaming regulatory body should look at Massachusetts." gamblinginsider.com/news/166…
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Is this the founder of Draft Kings complaining that he couldn’t bet the amount he wanted for the odds he wanted? It’s only ok when DK does it
May 25
Matt Kalish says Kalshi showed him a $930K payout on a $10K bet, then market makers turned the odds from 93 to 1 into 38 to 1 "i say i want to bet $10,000 on brooks koepka to win, the website says 93 to 1, i hit bet, what do you think happens?" "you think you're getting 93 to 1 right, and of course you're gonna win $930,000 right" "it turns out my bet's getting dumped to wall street market makers for a fraction of the amount. it was like 60% vig basically on this bet" "why is it if i bet $10 i'm getting 93 to 1 and if i bet $1,000 now it's suddenly 38 to 1? that's not sports betting, that's some other shit"
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Highlights from my @CFTC comment: Main thesis: Properly designed and regulated prediction markets serve the public interest through two primary mechanisms: 1. hedging, by enabling participants to hedge otherwise unhedgeable risks associated with one-off or non-standard events, and 2. information aggregation, by aggregating diffuse, private, and specialized information into a publicly available price signal. Five principles should guide the Commission's rulemaking: 1. The statutory framework requires a contract-specific, two-step analysis. The default for any given event contract is that it is not contrary to the public interest. Categorical prohibitions of entire classes of event contracts, without individualized public interest analysi, exceed the Commission's statutory authority. 2. Event contracts serve the public interest when they address risks and information about events that exist externally and independently of the markets themselves. The vast majority of markets currently offered, including sports, politics, current events, satisfy this condition. 3. Market structure, not contract subject matter, determines susceptibility to manipulation. Price manipulation is self-correcting in liquid markets; outcome integrity is the responsibility of the institutions that govern the underlying event, not the market operator or the Commission. 4. The Commission should distinguish information advantage from outcome control. Trading on superior information is the mechanism by which markets aggregate information. Without explicit and concrete evidence of a violation, the Commission must protect participants' right to confidentiality and anonymity. Neither the CFTC nor operators should be empowered to require individual participants to divulge confidential or proprietary information or trade secrets without substantial evidence to justify. 5. The CFTC's guiding mantra should be Serve and Protect: operators serve the public by offering the best product they can today and an even better product tomorrow; regulators protect the integrity of markets by fostering competition and innovation. But neither the Commission nor its operators should be compelled to protect participants from every adverse outcome that could occur in a prediction market. Trading on prediction markets, as on any financial market, is inherently adversarial and risky. The guiding principle for market participants is: protect yourself at all times. Participants should be made aware of and acknowledge these risks before trading. The stakes: the Commission's rulemaking will determine whether prediction markets mature into a transparent, federally regulated source of hedging and price discovery, or migrate offshore and to state-regulated sportsbook products where the Commission lacks surveillance authority and customers are stripped of fair-access protections. Full comment linked below.
My response to the @CFTC request for public comment on prediction markets has been posted. comments.cftc.gov/PublicComm…
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My response to the @CFTC request for public comment on prediction markets has been posted. comments.cftc.gov/PublicComm…

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Harry Crane retweeted
Apr 16
New Episode of Inside Prediction Markets @HarryDCrane joins @BigBuckHunterrr & @Flupnolide 0:00 Ohio's Bill to Kill Sports Betting 1:12 Perps Coming to Kalshi? 3:12 Chris's Substack on his Journey 4:51 @HarryDCrane joins the show 6:45 Harry's Scoop on Election Markets & 538 14:00 Having a Seat at the CFTC Table 19:00 Are Sharps Losing Faith in Prediction Markets? 26:00 The Full Kelly vs. Half Kelly Debate 35:00 What a $3M Drawdown Teaches You 43:00 Card Counting, Kelly, & Conditional Fills
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Harry Crane retweeted
The legal difference is sports betting is regulated as gambling by states and regulated as event contracts by CFTC. The “same thing” regulated differently doesn’t make one legal and the other illegal. The practical difference is that a state sportsbook license is a license to steal from losing bettors and ban winners, while CFTC puts strict requirements on fairness and market access.
There’s no legal difference between predictive markets and sports betting markets…In the end, it’s a bet. These are rogue actors who are out there operating outside the law, and they need to be brought back within the law. They said there are safeguards in place. What we're showing is there are no safeguards in place. States must continue to act to protect their rights and the rights of their citizens. Recently joined @CNBC @PowerLunch to discuss.
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Harry Crane retweeted
The practical difference is that a state sportsbook license is a license to steal from losing bettors and ban winners, while CFTC puts strict requirements on fairness and market access. @HarryDCrane If the CFTC demonstrates that a fair, transparent, and non-gubbing market exists for these operations/contracts, then the fact that the state legislature chooses the Gambling framework means that the state has intentionally granted operators a legal concession to prey on its own citizens.
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Harry Crane retweeted
Mar 29
fascinating $tao
🚨 BREAKING.....Djinn $TAO's SN103 is building something that shouldn't be possible. Built by @HarryDCrane, a professor of statistics specializing in probability theory. Not a crypto tourist. A marketplace where you can buy expert predictions and the platform itself never sees the pick. Not before the event. Not after. Not ever. Let that sink in. Overall: 758 git commits. 244 active miners. 5,644 key shares distributed. 27 new miners per day. 90% attestation success. Proof time under 60 seconds. 4 live products. 100% open source. 1,743 average lines of code per day highest of any Bittensor subnet. An analyst encrypts their prediction in-browser. The encryption key gets shattered into pieces and distributed across independent Bittensor validators using threshold MPC. No single node ever holds the full key. The analyst also submits 9 fake picks alongside the real one. Even if you intercept the list, you can't tell which is real. When a buyer purchases, validators coordinate to release the key pieces without any of them learning the actual pick. The buyer's browser reassembles the key locally. Decryption happens on their device. 3-5 seconds. That's not a product feature. That's a cryptographic breakthrough applied to a real market. Now the accountability layer: Every 10 picks between an analyst and buyer triggers an automatic audit. A random guesser at 50% only passes 38% of the time. Five audits in a row? Under 1% chance. Analysts must post USDC collateral before selling. Underperform? Buyers get refunded from the analyst's own deposit. Not tokens. Real money. Track records are mathematically verified through zero-knowledge proofs. No screenshots. No spreadsheets. No trust required. The numbers in one week: public launch, 43-file security audit, 6 bug fixes from user reports, 87/87 E2E tests passing, sybil detector deployed, fair scoring for new miners. Every day something shipped. The same infrastructure that verifies sportsbook data also powers Djinn's Web Attestation product already live at djinn.gg/attest. Tamper-proof cryptographic certificates proving a specific website showed specific content at a specific time. Stronger than screenshots. Stronger than web archives. Same miners, same skills, two revenue streams. The sports prediction market is $150B globally. But Djinn isn't limited to sports. Any domain with measurable outcomes works: financial signals, compliance verification, supply chain decisions. Sports is the proof of concept. The real play is a general-purpose marketplace for accountable intelligence. 💰 Revenue model: 0.5% fee on total value flowing through audits, paid in USDC. Users never touch TAO. They just need a wallet and USDC. Djinn hides the complexity behind a clean interface. Two months old. Shipping like they've been here for two years. $TAO DYOR.
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Harry Crane retweeted
Enrollment for our AI course closes this Wednesday. First class was excellent — 11 sessions to go. Late registrations can catch up with the Week 1 recording. This is the only cohort we're running this spring. analytics.bet/ai

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Just posted: Are Event Contracts Financial Assets or Just “Sports Bets”? open.substack.com/pub/harryc…
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A poorly fit regression when a simple comparison of means would do.
This is so insane it’s hard to believe
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Harry Crane retweeted
Two years ago I approached several State Regulators offering to provide our educational content to state Sportsbook operators and customers for free. The message was strongly rejected for two reasons: 1. A more educated customer means less profits for operators - which is what really matters. (They actually said this.) 2. Regulators do not want bettors to “think they can win” because it will cause an increase in problem gambling. The proposal was intended for responsible gaming. It would teach customers basic concepts- like hold percentage, how to read odds, how to calculate hold for parlays. The material would prevent problem gambling by allowing bettors to know they are getting ripped off by SGPs and similar products at sportsbooks. That’s why regulators don’t want bettors education. As a last ditch backdoor effort, I mentioned how educating bettors doesn’t necessarily mean less profits for operators. When card counting became popular, blackjack became the most popular game in the casino and casino profits increased. How? Not because the players learned how to count cards but because they thought they had learned how to count cards. The difference between theory and practice. This gave one regulator a “brilliant” idea. She suggested: Sports betting is 90% male dominated so we’re missing half the market. If we can market the education to women so they start to think they could win at betting, then we’ll double the market size and generate more profits and tax revenue. At that point I realized how corrupted and compromised (knowingly or unknowingly) many of the regulators are. Glad to work with @bettorsvoice to improve the industry for all bettors.
Analytics.Bet is happy to partner with the American Bettors Voice @bettorsvoice to bring much needed education to regulators and lawmakers.
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Final Four came early this year. I've seen the course development behind the scenes and will be a student in this course. 100% sure it will pay dividends. analytics.bet/ai for more

Final Four (4) seats left for Analytics.Bet/AI taught by multiple award winning Doctor J (Prof. Jie Tao). Novice and veteran users of Artificial Intelligence will learn a great deal from this master instructor. We are very excited and proud of this cutting edge offering.
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Working on this at @RutgersU Will announce soon.
LATEST: ⚡ Twenty-one crypto firms have signed an open letter urging US universities to teach DeFi as a core subject, citing an 84% rise in blockchain job searches and growing Wall Street demand.
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Harry Crane retweeted
Final Announcement : Tomorrow the price of our 12 week deep dive course on AI will be priced at retail, today is the last day to take advantage of $700 in savings. The course is nearing its cap, and all of our live courses have sold out. analytics.bet/ai

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Friendly reminder: today is the last day for early registration. Price goes up tomorrow. Class starts next week.
Reminder: Our next live offering on AI for Sports Betting and Prediction Markets begins on March 25th. We are still offering an early registration discount until Wednesday March 18 at 12pm ET. After that, the price will increase to full price. No prior knowledge necessary - just a motivation to learn. More information and sign up below. analytics.bet/ai/
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