Chess matches or tournaments between computers have a bit of a problem that the computers can be made to play better using special or expensive hardware not generally available (e.g., clusters or supercomputers), and supported by humans porting, carefully tuning the software and hardware, and developing custom opening books. Such resources are not generally available to all chess programs.
Create a special form of tournament open only to richly funded chess programs and their human teams. The ultimate goal is to produce the highest quality chess games ever played. (But will this produce higher quality games than computer-assisted correspondence chess?)
Before the tournament, there is a qualifying phase where they must demonstrate to play better than all other off-the-shelf programs running on top-end commodity hardware (vaguely analogous to stock cars versus F1). It is possible that if the best off-the-shelf program is very good, no one will get past qualifying.
After qualifying, the computer monsters and their teams square off.
Time control is Game in 10 hours, quite a bit longer than human games, but computers don't get tired. The computer should be able to run unattended except to start the game. Games finish in 20 hours at most, allowing 4 hours for hardware maintenance between games if necessary. One game a day lines up with human schedules for any daily maintenance or additional tuning per game, for example, improving the opening book.
Such a long time control probably makes infeasible playing out alternate moves. Perhaps that is something best left for "stock car" competitions.
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