Does a small initial lead decide which colour ends up holding the map? Within about 50 ticks the salt-and-pepper start sorts into blue and orange blocs.
Try this Set noise to 0 while it runs (it is read every tick). Within 3 ticks flips-now falls to 0 and the map freezes where it stands, because majority rule alone can't move a border. Set noise back to 5 and the borders move again.
About this model Where it ends up The run never stops. At noise 0 the map freezes and flips-now reads 0. With noise, it keeps flickering, usually with one colour holding about 97% of the map, unless the colours have settled into wrapping bands.
A spatial majority-vote model after Uri Wilensky's NetLogo Voting, in which each patch adopts the colour most of its eight neighbours hold. Without noise the map freezes into blocs within about 50 ticks; a little noise keeps the borders moving until one colour usually takes nearly all of it.
Setup makes each patch blue with probability blue-share percent. Each tick every patch counts the blue patches among its 8 neighbours (the board wraps), and all patches update together. Five or more blue means blue, three or fewer means orange, and a 4–4 tie keeps the current colour, or goes to a coin toss when majority-only is off. Then, at noise percent, a patch ignores all that and picks a colour at random. blue-share is read only at setup; noise and majority-only take effect live.
NetLogo's Voting has no noise. Its switches instead flip a patch's vote on a 4–4 tie and hand 5–3 close calls to the losing side, which keeps borders moving on their own. With noise, this version is a variant of the majority-vote model of statistical physics; it only loses its order near the top of the noise slider, around 36 to 40.