Shading overlapping area of curves in R

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I was trying to plot figure in R like the one below, which is basically the veto player model of Tsebelis. Based on my knowledge of R now, I encountered 2 major problems:I don’t know if there is a function that can draw archs, or at least partial curves from circles.I don’t know if there is a good way of shading the overlap area in R.I have struggled for 2 weeks and googled and aske friends for

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