Identical agents exert hidden effort to produce randomly-sized improvements
in a technology they share. Their payoff flow grows as the technology develops,
but so does the opportunity cost of effort, due to a resource trade-off between
using and improving the technology. The game admits a unique strongly symmetric
equilibrium, and it is Markov; that is, no form of punishment is sustainable.
Moreover, in this equilibrium, small innovations may hurt all agents as they
severely reduce effort. Allowing each agent to discard the innovations she
produces (after observing their size) increases equilibrium effort and welfare.
If agents can instead conceal innovations for a period of time, there exists an
equilibrium in which improvements are refined in secret until they are
sufficiently large, and progress stops after a single disclosure. Although
concealment is inefficient due to forgone benefits and the risk of redundancy,
under natural conditions, this equilibrium induces higher welfare than all
equilibria with forced disclosure