The average expected benefits of sharing behavior

U i 1 = y ( V i + α Δ V β C ) + ( 1 y ) ( V i β C )

Expected benefits of positive sharing behavior

U i 2 = y ( V i + E i ) + ( 1 y ) V i

Expected benefits of negative sharing behavior

U ¯ i = x U i 1 + ( 1 x ) U i 2