Courtroom forum
In litigation, at least at the trial level, ties typically go to the defendant (or the non-movant). A similar principle applies to appeals: for example, if the US Supreme Court votes 4-4 (with 1 Justice recusing), then the appellant loses and the decision below stands. There are some exceptions. For example, in a patent case brought in federal district court, the accused infringer bears the burden of proof on the issue of invalidity (under a clear and convincing evidence standard). So if neither side submits any proof on validity or if defendant's proof does not outweigh the patentee's proof, then the patent is held to be not invalid. (Note that the correct terminology is "not invalid" rather than "valid" since there is never a finding of validity -- merely that the patent has not been proven invalid. This is similar to criminal trials -- a defedant can be found "not guilty" but that is not the same as a finding of innocense, as "not guilty" just means that the prosecution has failed to prove guild beyond a reasonable doubt.) Of course, in declaratory judgment action, everything is flipped around since the "plaintiff" is the accused infringer (and really the defendant) and the "defendant" is the patentee (and really the plaintiff alleging infringement).

Be quiet and stay in the text based adventure forum
EDIT: Actually, just stay here, but DO NOT COMPLAIN ABOUT ANY OF APPLE'S STUPID UPDATES. FRANKLY, WHO CARES?!

Ugh, the courtroom is failing SIMPLY BECAUSE I MADE A FORUM MORE THAN TWICE AS POPULAR THAN THIS ONE
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So, who do you think won, me or horseypower?