  We call an investment strategy survival, if an agent who uses it maintains a
non-vanishing share of market wealth over the infinite time horizon. In a
discrete-time multi-agent model with endogenous asset prices determined through
a short-run equilibrium of supply and demand, we show that a survival strategy
can be constructed as follows: an agent should assume that only their actions
determine the prices and use a growth optimal (log-optimal) strategy with
respect to these prices, disregarding the actual prices. Then any survival
strategy turns out to be close to this strategy asymptotically. The main
results are obtained under the assumption that the assets are short-lived.
