There can be at most one initial Vertex in a Region.

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uml101 - StateMachines - NOTATION REFERENCE CARD
Pseudostates - initial, fork, join, terminate
Source
Unified Modeling Language 2.5.1
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About Object Management Group copyright in text extracts quoted from OMG specifications for educational purposes
Snippet kind
CONSTRAINT
UML keywords
PseudostateKind::initial
Region
Vertex
initial - ... It is the source for at most one Transition, which may have an associated effect Behavior, but not an associated trigger or guard.
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There can be at most one initial Vertex in a Region.
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Note this restriction is talking about initial Pseudostate in state machines; compare with InitialNode in an Activity: An Activity may have more than one InitialNode.
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