Players $A,B,$ and $C$ are dividing a continuous asset, with valuations

given below.

a$.$ Suppose that an arbitrator decides that A gets the portion from $0$ to $1,B$ gets the portion from $1$ to $2,$ and $C$ the portion from $2$ to $3.$ Evaluate this proposed allocation for proportionality, equitability, and envy.

b$.$ Determine the outcome when the players use Moving Knife. The knife

begins at $0$ and sweeps to the right.

i$.$ Who calls cut first?

ii$.$ Who calls cut next?

iii. Draw the resulting allocation and assess it for proportionality,

equitability, and envy