Your board probably lost its purpose...
...What do I mean by that? Well having the board is not the purpose itself. I've worked with a team like this once. We were maintaining the board perfectly at the beginning, but then it started degrading. What happened? You create the board to make something visible, to track the progress. You may even detect some problems just by using it. But the questions you need to ask yourself are:
- Who is supposed to read the board? How often do they actually pay attention to what's there?
- What are we looking for at the board?
- Is the board helping the team in anything or are we just maintaining it for somebody else?
So maybe your team just does not need any of the information on the board. But find out why? Or better find out what information would they be seeking on the board in the first place? They need to find it useful and valuable for themselves otherwise why should they bother?
Were you organizing meetings by that board? If so maybe the problem is in the meetings (this was the problem in my case). It may turn out that the team does not find the meetings any helpful. Find out why? You may also find the concept from http://pawel.wrzesz.cz/blog/?p=89 interesting.
Is the team supposed to provide the same information the other way (any reports, spread sheets, etc.)? Maybe they just know that nobody looks at the board actually. Why do the fake moves if the information is read somewhere else?
Finally you may find the blog about Visual Management interesting. It may provide you some inspiration about how to make the board itself more interesting. Take a look at:
http://www.xqa.com.ar/visualmanagement/
So the first thing you need to answer is what do you need the board for. It needs to provide a value to the team maintaining it. Would you maintain anything that is useless?