The Saturn was discontinued in 1998 in most countries, and in 2000 in Japan.
In what was usually a 5-year life cycle for systems back then, 6 years in Japan versus the 2 to 3 years in the US is not only huge, but double the lifespan.
Also, yes, Sega -was- responsible for lack of third-party support for their system:
As Sega began public discussion about their next generation system, barely two years after having launched the Saturn, it became a self-defeating prophecy, some citing it as an example of the Osborne effect. This move, combined with Sega's recent history of short-lived consoles, particularly the Sega CD and 32X which were considered ill-conceived "stopgaps" that turned off gamers and developers alike, led to a chain reaction that quickly caused the Saturn's future to collapse. Immediately following the announcement, sales of the console and software substantially tapered off in the second half of 1997, and many planned games were canceled, causing the console's life expectancy to shorten substantially. While this let Sega focus on bringing out its successor, premature demise of the Saturn caused them financial problems. Even though the Dreamcast did address many of the problems with the Saturn, Sega's damaged reputation caused customers and publishers to be skeptical and hold out to see how it would fare against S*ny's PlayStation 2.
The Saturn's motherboard was complex and difficult to consolidate, making it expensive to produce.
The aggressive move to replace the Saturn resulted in a rift between Sega and many of their third-party developers and publishers. North American developers were already hostile to the Saturn because it was difficult to program for, and because they were left out by its early release, so the future project alienated what remaining support Sega had in that region. However, many Japanese developers had strongly supported the Saturn in its homeland and saw little reason for Sega to rush another platform to market. The announcement caused a substantial drop in software sales, causing frustrated third parties to cancel many planned releases. The early abandonment of the Saturn hurt third party software support not only for that system, but also for Sega in general. Several major publishers such as Electronic Arts declined to support the upcoming Dreamcast, which played a part in its discontinuation as well.
By discontinuing the hardware early, Sega effectively killed any third-party support the system may have garnered, and also ruined relations for any third-party developers they might have had for the Dreamcast, essentially setting themselves up for failure. A company in the hardware business is supposed to encourage third-party developers to make games for their system, as they get kickback from the licensing of those games. Sega did the opposite, to the extent of being nearly downright hostile to them instead, so yes, it does fall on them, even for third-party games.
Oh, by the way:
Number of Saturn games released during the total lifespan of the system in the US: 245
Number of Saturn games released in Japan: 1000+
Games released in 1999 to 2000: 19
You don't know jack shit about what you're talking about, nor the industry. I suggest you stop pretending you do, before you continue making more of an obnoxious fool of yourself than you already have.