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"Xbox 360 Arcade

The Xbox 360 Arcade[64] replaced the "Xbox 360 Core" as the entry level Xbox 360 on October 23, 2007, while retaining the Core's price of US$279.99.[65] It was publicly revealed by Microsoft's president of Entertainment Devices division Robbie Bach to the Financial Times on October 18, 2007,[66] and officially announced on October 22, 2007,[26] although it was available in stores far earlier.[64] It included a wireless controller, composite AV cable, HDMI 1.2 output, a 256 MB memory unit and 5 Xbox Live Arcade titles:[67] Boom Boom Rocket, Feeding Frenzy, Luxor 2, Pac-Man Championship Edition, and Uno on a single disk, which also included a "Welcome Video" and several game trailers/demos.[68] Like its predecessor the "Core", it did not include a hard disk drive, which is required for Xbox software backwards compatibility. In Autumn (Fall) 2008, with the introduction of the Jasper motherboard revision, the memory unit was removed from the package and replaced with an 256 MB internal memory chip.[69] This was later upgraded to a 512 MB chip in Summer 2009.[70] Holiday 2008 consoles were bundled with Sega Superstars Tennis.[58] With the price cuts on September 4, 2008, the Arcade fell from US$279 to US$199 in the US.[59] In the UK, with the 2009 Elite price drop and discontinuation of the "Premium" Pro SKU, the Arcade price rose from GB£129.99 to GB£159.99.[71] With the unveiling of the Xbox 360 S redesign, the Arcade dropped in price to US$149.99 for remaining units until stocks are exhausted. The Arcade was replaced at the US$200 price tier by the 4 GB Xbox 360 S."

http://en.wikipedia.org/wiki/Xbox_360

 

"On September 23, 2009, Nintendo announced its first price drops for the console. In Japan, the price dropped from ¥25,000 to ¥20,000, effective October 1, 2009.[89] In the United States, the price was reduced by $50 resulting in a new MSRP of $199.99, effective September 27, 2009.[90] In Europe (excepting non-eurozone nations), the price of a Wii console dropped to €199 from €249."

http://en.wikipedia.org/wiki/Wii

 

I can safely assume the Wii outsold the 360 during this time period (Sept 2008 - Sept 2009).  You can look the sales up if you want but I am not sure if you are going to be able to find the amount of Arcade models sold within this time period.  It will probably just have all models included in the data.  So it is kind of a pointless argument.