OK then, my intuition is wrong about the return of the short traders but my original premise that the average trader will receive an average return can still hold.Quote from GTS:
You started with a simple premise: that the average trader would see gains equal to the average market returns.
When I pointed out that traders go short as well as long you changed from a your original mathematically based thesis to "Intuitively I feel".
Frankly I don't care how you feel. Your original premise was badly flawed but it was at least based on a real number - now you've switched to just guessing.
What you just wrote contradicts your original premise.
The only way traders would match the average market gains while being in and out of the market with both long and short trades would be if they have an edge (which you previously claimed they do not have in the short-term)
If they had no edge then there is no way they could match the average market gain unless they held a 100% long position in the market at all times - again, basic math.
Let's imagine a trader who only trades from the short side in the stock market. You are correct that on average he should have negative returns (-10%) because he always takes the opposite side in an upward going market (in the long run). On the other side of that trader you must have a leveraged long trader (because someone must lend and buy the stock from the short trader). He will have a higher return than the market (+20%). The average return of both the long trader and the short trader (-10% + 20%) is still the market return of +10%.

