Question: The Remington Model 31 competed with the Winchester model that was popularly known as what?

Context paragraphs:
Remington Model 17: In 1915 John Browning patented a pump-action shotgun with the following features: hammerless, under-loading, tubular-magazine, bottom-ejecting, and take-down.  This design would eventually become the Remington Model 17.  Manufacturing rights were sold to Remington Arms shortly after, but due to the production efforts of World War I, Remington was unable to begin manufacturing until 1921.  Before production began John Pedersen made alterations to the design, with more changes made later by G.H. Garrison.  The Model 17 was a trim, 20-gauge shotgun that served as the design basis for three highly successful shotguns: the Remington Model 31, the Ithaca 37 and the Browning BPS.  Additionally, features of the Model 17 were also incorporated in the later Mossberg 500 and Remington 870.

Remington Model 1875: Remington Model 1875 Single Action Army (a.k.a. Improved Army or Frontier Army) was a revolver by E. Remington & Sons.  It was based upon the successful Remington Model 1858 with both revolvers having the same size, appearance, and the removable cylinder.  The new 1875 Remington differed mainly from the older 1858 percussion model by having a bored through cylinder chambered for metallic cartridges. Thus, in 1875, Remington entered the cartridge revolver market with this big-frame, army style revolver, intended to compete with the Colt Peacemaker.  Ordinary citizens and Old West lawmen alike recognized the sturdy quality of the new Remington revolvers.  This design was followed by the Model 1888 and the Model 1890.

Remington Model 31: The Remington Model 31 is a pump-action shotgun that competed with the Winchester Model 1912 for the American sporting arms market.  Produced from 1931 to 1949, it superseded the John Pedersen designed, bottom loading and ejecting Models 10 and 29, and the John Browning designed Model 17.  It was replaced by the less expensive to manufacture Remington 870 in 1951.

Remington Model 750: The Remington Model 750 was a semi-automatic rifle and successor to earlier semi-automatic rifles Remington Model 740, Remington Model 742 and Remington Model 7400.  Production began in 2006 and discontinued in 2015.

Remington Model 504: The Remington Model 504 is a bolt-action rimfire rifle that can chamber .22 LR, .17 HM2 or .17 HMR cartridges.  The gun is a replacement of the now obsolete Remington Model 541, and was itself replaced by the Remington Model 547 in 2007.  The Model 504T was a target variant built in 2006 that differed from the original 504 in using a laminated wood stock with a raised comb, a target style forearm and a heavier barrel.

.284 Winchester: The .284 Winchester is an example of a commercially unsuccessful cartridge that has enjoyed a resurgence due to interest from long-range competitive shooters.  Introduced by Winchester in 1963, the .284 Winchester was designed to squeeze .270 Winchester and .280 Remington performance from the new Winchester Model 100 autoloader and Winchester Model 88 lever action rifles.

Remington Model 1890: The Remington Model 1890 New Model Army was a revolver by the Remington Arms.  It was a based upon the successful Remington Model 1875 and the lesser known Model 1888 with both revolvers having the same size, appearance, and the removable cylinder.  The 1890 Remington single-actions kept the solid frame and similar styling of the 1875 model, but lacking the large web under the ejector rod housing and equipped with checkered rubber grips.  Like the 1875 model, the 1890 was suitably made for metallic cartridges, but only issued in .44-40 caliber.

Winchester Model 1912: The Winchester Model 1912 (also commonly known as the Model 12, or M12) is an internal-hammer, pump-action, shotgun with an external tube magazine.  Popularly named the "Perfect Repeater" at its introduction, it largely set the standard for pump action shotguns over its 51-year high-rate production life.  From August 1912 until first discontinued by Winchester in May 1964, nearly two million Model 12 shotguns were produced in various grades and barrel lengths.  Initially chambered for 20 gauge only, the 12 and 16 gauge versions came out in 1913 (first listed in the 1914 catalogs), and the 28 gauge version came out in 1934.  A .410 version was never produced; instead, a scaled-down version of the Model 12 known as the Model 42, directly derived from scaled drawings of the Model 12, was produced in .410.

Remington Model 14: The Remington Model 14 was a pump-action repeating rifle designed for the Remington Arms company by John Pedersen.  It is part of a series of rifles that include the Remington Model 14-1/2 and the Remington Model 141.

Browning 22 Semi-Auto rifle: The Browning 22 Semi-Auto rifle, also known as the Semi Automatic 22 or SA-22, is a takedown rifle produced by FN Herstal based on a John Browning patent.  The rifle is currently produced by Browning as the Semi-Auto 22.  Production began in 1914 and continued through 1974 in Belgium and production continued in 1976 in Japan by Miroku.  It was first exported by FN for the American market in 1956.  A close copy made by the Chinese company Norinco was formerly imported into the US by Interarms as the Model ATD.  Remington manufactured a lighter weight version under license from 1919-1935 as the Remington Model 24 and then replaced it with the Remington Model 241 in 1935.  Except for the barrel locking mechanism the Remington Model 241 is very similar to the Browning SA-22.

Supporting paragraphs: Remington Model 31 Winchester Model 1912
Answer: Perfect Repeater