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Standardization of intra car comminucation would come in handy here...

Also, there are exceptions even when all cars come to the intersection at the same time:

1) Those that do not go straight have to wait for traffic to clear

2) Amongst those that go straight, the ICCP (Intra-Car-COmmunication Protocol) can determine who goes first

After that, the nearside rule applies, and every cars goes in turn.

Regards,

Guus