Regulation NMS splits the statutory category into two species, and the line is where the dealing happens. An "exchange market maker", at 17 CFR 242.600(b)(37), is "any member of a national securities exchange that is registered as a specialist or market maker pursuant to the rules of such exchange" — a status granted by a venue, with the obligations that venue's rulebook attaches. An "OTC market maker", at (b)(75), is "any dealer that holds itself out as being willing to buy from and sell to its customers, or others, in the United States, an NMS stock for its own account on a regular or continuous basis otherwise than on a national securities exchange in amounts of less than block size." Note the two qualifiers in that second definition. It happens away from an exchange, and it is about ordinary-sized trades rather than blocks.
That block-size qualifier connects back to the statute's forgotten middle limb. "Block size" is defined at (b)(17) as an order "of at least 10,000 shares" or "for a quantity of stock having a market value of at least $200,000" — a disjunctive test, so either one suffices. Those figures are fixed by the rule rather than adjusted annually. Negotiating a large block is a different activity from quoting ordinary sizes all day, and the statute handles it separately: a dealer "acting in the capacity of block positioner" is a market maker under its own limb, without needing the continuous two-sided quoting the third limb describes.
The rules treat a market maker as market infrastructure, not merely as a trader. A market maker is one of the entities Regulation NMS calls a "market center", defined at (b)(55) as "any exchange market maker, OTC market maker, alternative trading system, national securities exchange, or national securities association", and it is also a "trading center" under (b)(106), which reaches any broker or dealer that executes orders internally by trading as principal or crossing orders as agent. Those are not honorific labels. Being a market center is what pulls a firm into obligations that ordinary brokers escape, including the monthly order-execution reporting a broker that is not a market center only owes above a customer-account threshold.
The vocabulary of the rules presumes a firm that publishes and then revises. Regulation NMS defines a "revised bid or offer" at (b)(91) as "a market maker's bid or offer which supersedes its published bid or published offer", and a "revised quotation size" at (b)(92) as "a market maker's quotation size which supersedes its published quotation size". Both definitions exist only because the assumed behavior is a standing published quotation that gets updated, which is the continuous-basis requirement seen from the market-data side. And a quotation is legally firm for at least a round lot, which is what makes a published quote something an investor can act on rather than an invitation to negotiate.
Where a market maker's economics come from, in one sentence, because the argument belongs elsewhere. The firm buys at its bid and sells at its offer, and the difference is its compensation for standing ready and for holding inventory that can move against it; the bid-ask spread page covers that in full, and the reasons a quote widens when the firm suspects the person trading with it knows more than it does are covered on the adverse selection page. For retail equity orders in particular, the firm on the other side is often an off-exchange dealer that the broker routed the order to rather than an exchange, and the economics of that arrangement have their own page.
An automated market maker is a different thing that happens to share the words. In decentralized crypto venues, an automated market maker is a smart-contract formula that prices a swap against a pool of reserves. There is no dealer, no firm holding itself out to anyone, no published quotation and no obligation to deal, so nothing in 15 U.S.C. 78c(a)(38) reaches it. The decentralized exchange page covers how that design actually prices a trade.