I have a question about having images display the same color contrast on different monitors. I do understand that individual monitor settings may have an affect on how an image is displayed.

1. Does Gamma Correction have anything to do with this?

The reason I ask is because I have 3 computers where the images shows up the same as the computer I made it on.  But then I have a laptop that makes the image look washed out.  I can also tell by some of the responses by people who have commented on my image that the image isn't looking the same on other monitors. 

When I print posters of my art, the colors are just as vivid as they are on the computer that the image was rendered on.  Any suggestions on what is going on and why there is such a big difference sometimes (besides individual monitor settings).

thanks

IMVHO, your issue sounds very much like individual monitor settings.

When speaking of Gamma Correction as it pertains to the render, the principle is to take sRGB colours (including images) and linearising them before processing, then correcting them before rendering. If I understand this correctly, this is what needs to be done in order for the render engine to correctly process colours.
That said, there is a school of thought that entertains the concept that GC is not the ultimate solution for correcting colours... that corrected sRGB gets a bit closer. However, in my non-PoserPro world, the only option I have are material GC or material corrected-sRGB.

What happens on the monitor level is something different and involves calibration, AFAIK.

Proper monitor calibration should be given top priority in anyone's workflow.  The issue you are seeing here are the differences between your own computers and those of others.  This especially noticable when you view the same image on PC and MAC.  PC's, printers, digital cameras and internet standards have been calibrated to apply Gc at approximately 2.2.  MAC's, on the other hand, are still calibrated at Gc=1.8 (native settings) which gives you a brighter images.  Beautiful to look at but potentially problematic when creating Web pages, printing or sharing images between computers.  But let us not ignore gamma correction totally.  It's application within a 3D program eliminates specific problems like too much lighting, specular blooms, incorrect colors, etc.  You either spend the time manually applying material corrections or invest in software (i.e., PoserPro or PoserPro 2010) which will handle Gc correctly.

Quote - MAC's, on the other hand, are still calibrated at Gc=1.8 (native settings) which gives you a brighter images.  Beautiful to look at but potentially problematic when creating Web pages, printing or sharing images between computers.

As from Mac OS X 10.6 (Snow Leopard) the standard setting for Macs is 2.2.

Aside: I changed my Mac to 2.2 ages ago when still using Tiger (10.4). All Mac users still using Leopard (10.5) or below would be well advised to do this. Note that this is a setting within the OS Display Preferences, not within the monitor itself.

Your laptop may have power saving features that have lowered the brightness/contrast to extend battery life.