Stabilize Serpentine Rock Walkway

Have a rarely used walkway that is covered with loose serpentine rocks (about 2-3 inches in diameter). Would like to roughly cover it to fix the rocks in place without removing and pouring a complete sidewalk. Is there any material that can be use simply and cheaply to achieve this?
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yea mud
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Sand? This will not of course stabilise it completely, and depending on climate may wash away.
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