Five years after the agreement broke down, both the U.S. and Canada
were near disaster. As the Canadians fished frantically in an effort to balance out
the Alaskan harvest, the coho and Chinook stocks that dominated their waters
dwindled, affecting both Canada and the Pacific Northwest states. The famous
“tragedy of the commons” was unfolding.
So both countries went back to the bargaining table. They adjusted the
harvesting limits to take a longer-term view, account for the prevalence of each
species of fish, and better protect against overfishing. In addition, the U.S. began
to indirectly compensate Canada for the extra Canadian fish caught by U.S.
fishermen. This system, which the mathematicians had recommended based on
their game theory models, allowed the two nations to balance the economic
benefits from the fish rather than balancing the number of fish harvested. This
also created greater flexibility to respond to future shifts in fish abundance or
migration patterns. The 1999 agreement has proven to be sufficiently robust that
it was re-ratified in 2005, with only minor changes.
Because of experiences like this, fishery managers have started to
recognize that it’s impossible to understand what’s really going on with fishery
agreements without game theory. The dynamics are too complex. Nevertheless,
game theory is still underutilized in fishery management. Side payments, like the
U.S. payment to Canada, are rare and usually smaller than ideal when
implemented. Every fishery represents its own game theoretic challenge, and the
rules of the game change over time as the fishing fleets of different nations rise
and fall and as international laws around fishing evolve. The contribution game
theory has to make to fishery management has only begun to be exploited.
Even within a single country, management issues are tricky and need
mathematical guidance. A nation, of course, has the power to regulate how much
fish each fisher is allowed to catch, rather than having to rely exclusively on self-
interest. The first way this was tried was by limiting the fishing season. This
backfired, though: Fishers developed faster boats and better ways to find the
fish, so as to catch as many fish as possible as fast as possible. Managers tried
limiting the number of boats, but fishers then built bigger boats. Recently,
managers have moved to giving fishers individual quotas that they can trade
among themselves, where the quota size is determined by the fish population. If