IsMasterBrowser or IsDomainMaster??

They are related.  Apparently the "MasterBrowser" can only work on the local network segment but the "DomainMaster" will work on a larger network.  This page has references and links to both:  https://msdn.microsoft.com/en-us/library/cc224507.aspx

Well, that didn't help me much as it discusses things that are mostly not applicable.  I don't think I should try to read between the lines too much lest I reach some wrong conclusions.

I'm working on a peer-to-peer network.
There is no domain and no servers.
I don't see mention of IsMasterBrowser anywhere (again).  Did I miss it?

I would like to be able to force a workstation to become the Master Browser by forcing an election ... right now.
I'm looking for BROWSTAT to try to do that.

In the mean time, I set IsDomainMaster / True on a workstation and then rebooted it.
Nothing happened.
Then I rebooted the current Master Browser computer which does force an election but isn't how I want to do it.
Again, the IsDomainMaster setting did nothing.  Another computer became the new Master Browser.

So, it appears this does nothing more or different than having the Computer Browser service running.

A Google search for IsMasterBrowser brings up a lot of entries once you force it to ignore "is Master Browser".  A search for 'browstat.exe' found this page http://blogs.msmvps.com/acefekay/category/browstat/ which although it may not answer your exact question, has a lot of interesting info including a priority order of Windows versions for the Master Browser selection and some troubleshooting info.

Dave Baldwin:  Sorry, can't find IsMasterBrowser *except* in reference to PDC or DC.
NB: This is a peer-to-peer network (need I say: "of workstations"?).

I'm working on a peer-to-peer network.
 There is no domain and no servers.

And, I've still not got a download of browstat.exe which *does* appear to be quite useful.

You don't have to say that again... but you can go on repeating yourself if you want to.  'browstat.exe' is included in this package http://www.microsoft.com/en-us/download/details.aspx?id=18546 but it only installs on Windows XP.  The instructions I have seen for 'browstat.exe' didn't say anything about setting the Master Browser.  I saw a page that says it's included in Windows Server 2008.

I ran across this page http://scottiestech.info/2009/02/14/how-to-determine-the-master-browser-in-a-windows-workgroup/ which has a program you can download that scans your network and displays the computers that are on and which ones are 'MASTER' browsers.

I vaguely recall that the Master Browser function took 12 or 14 minutes on my XP computers last time I tried to research this.  I found several pages that say that the Computer Browser function no longer works on Windows 7 and newer.

My experience with these questions is sometimes information provided initially gets missed later on.  So, to be sure, I repeated some - because there are plenty of times where that helps and is thus "necessary".  Certainly not a criticism (if boring).

I have good programs to determine which computer is the Master Browser.
Scottie's LanScan has been one of the good tools.  
Recently I found SoftPerfect Network Scanner which is really good at providing information!
What I don't know how to do yet is force an election, short of rebooting the current Master Browser, on a a network like this.

I didn't see anything to force an election or a selection of the Master Browser.  It does not look like that was important in the Microsoft view of LAN operations.

I ran LanScan on my computer and it shows two of them are MASTERs.  Do you get that also?

Dave:  Generally not but I have seen it happen. I tried one tool the other day that identified a network printer as a Master Browser when it clearly was not and could not be.  You might try SoftPerfect Network Scanner.

I'm pretty sure now, having asked, that you can force a Master Browser election only by rebooting the current Master Browser.  But that won't do more than roll the dice and get another Master Browser.  Otherwise you have to turn off the Computer Browser service on all but the one (or ones) that you want to be eligible for the role.

Or, as is often the case with these things: just wait half an hour or so and try again.
Reboot and try again.
Reboot all the computers and try again..  :-(
While I guess I can understand some of the rationale for wating 12 minutes for this and another 12 minutes for that, etc. the overall response time is often unbearable.  Patience is a virtue in this case particularly it seems.  Hard to be patient when you're trying to get a network up and running.

I do believe that the Computer Browser service does work in Windows 7.
Turn it off and run the SoftPerfect Network Scanner to see if that computer is still a potential browser.

Thanks for the help!
Just to be clear:

This page has references and links to both:  https://msdn.microsoft.com/en-us/library/cc224507.aspx

I really didn't find references to both there - even drilling down into the subparagraphs.