Quote from DynamicReplic8r:
If you're talking about the bond market, then yes, the bond pricing function exhibits convexity. When yields fall by a given amount, the price will rise by more than it would fall if yields rose by a that same given amount. However, that is completely priced into the market. When rates are expected to be volatile, bonds that exhibit greater convexity will be relatively more expensive. So, if you buy a bond that exhibits high convexity and rates turn out to be less volatile, you will actually do worse than you would have if you had bought a low convexity bond.
If you're talking about options, it's called gamma, and again, completely priced in.
But, I don't see what this has to do with whether any market is defined as zero sum. Please do elaborate.