September 17th, 2002, 1:43 am
QuoteOriginally posted by: ManI am more curious about his discoveries (specifically game theory)Nash was the first person to get important rigorous results for nonconstant sum games. Unlike constant sum (usually called "zero sum") games, there is often no provable optimum point. The general problem is that some solutions have a high total utility, but individuals gain by cheating, but as more and more people cheat, you end up at a point where everyone is miserable.These are important for economic modeling, where most important problems involve nonconstant sum games. But, as I said, in finance we generally have the ability to redesign the game to make sure the markets get to the maximum total utility equilibrium. In fact, one way of looking at finance is we design abstract structures to get to global optimums, bypassing the rigidities and constraints of physical markets.