My colleague John Bratlien recently wrote a summary on wiki comparisons. With his permission, I am posting the comparison result here and hoping it will help those of you who have demands to deploy your own wiki servers. Our IT infrastructure (mainly PHP/MYSQL applications) limits the pool of candidates selected for the comparison:
Overview and Objective:
Arts ISIT requires a fully featured and user friendly wiki solution to support our faculty in their teaching. The wiki interface should be intuitive so that a lay person can use it without more than just a basic introduction. In addition, we want a wiki solution that is low maintenance (easy to install, configure, support and upgrade).
Comparison:
The following matrix is a comparison of some key features offered by well documented, widely deployed, leading open source wikis. The focus is on PHP based wikis with the exception MoinMoin.

Wiki Comparison: MediaWiki, DokuWiki, TikiWiki, PMwiki and MoinMoin
Notes:
* via plugin
** some of these wikis have experimental and beta versions of WYSIWYG editors, not production ready
Summary:
Ideally our requirements, WYSIWYG editor, easy inclusion of multimedia and intuitive management of content and users, are supported out of the box. Features that are part of the core are more likely to be robust than features added through plugins, as well plugins require additional work for separate installation and configuration. Of these wikis,
MoinMoin comes closest to meeting our usability requirements and does so primarily using core functionality. The PHP based wikis do not offer a workable WYSIWYG editor, however, of the bunch, TikiWiki offers the best pseudo WYSIWYG editor.
Regardless, lack of a WYSIWYG editor continues to scare off most users and therefore wikis lacking one should be eliminated from contention.
With regard to support and documentation, all of these wikis are adequate as all have highly active user communities and are well supported (as open source projects go).
Other Systems to consider:
There are PHP based wikis with fully featured WYSIWYG editors such as telepark.wiki and Triki-Wiki. However, telepark.wiki is not free; it costs 149 Euros to purchase. Triki-Wiki, on the other hand, is free and looks very promising but it is developed and maintained by only one individual, not a community. In addition, it is not widely adopted which makes it a riskier option as it lacks the support and documentation of a widely adopted wiki.