Elasticity and Equilibrium

Samuelson introduced physics into economics. It has become ever clearer that it is into the concepts of elasticity and equilibrium that analogy with physics was introduced. There has to be a relationship between the change in elasticity (yet not elasticity itself) of a rubber band as you stretch it and whether it springs back (whether it can stay equilibrium at the stretched state) after you release it.
From P8/Ch4 of Fei's lecture notes, it is suggested that there is a relationship between the convexity of production set and the elasticity of scale.

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