Limits and Thresholds

Oligopoly with Capacity Constraints and Thresholds

    Abstract   Extended Oligopoly models will be introduced and examined in which the firms might face capacity limits, thresholds for minimal and maximal moves, and antitrust thresholds in the case of partial cooperation. Similar situation occurs when there is an additional cost of output adjustment, which is discontinuous at zero due to set-up costs. In these cases the payoff functions of the...

Generalized Covering Groups and Direct Limits

Thresholds and Expectation Thresholds

(See e.g. [2], [6] or [18]. Of course p0(n) is not quite unique, but following common practice we will often say “the” threshold when we should really say “a.”) It follows from [8] that every {Fn} has a threshold, and that in fact (see e.g. [18, Proposition 1.23 and Theorem 1.24]) p0(n) := pc(Fn) is a threshold for {Fn}. So the quantity pc conveniently captures threshold behavior, in particular...

Setting Limits: Using Air Pollution Thresholds to Protect and Restore U.S. Ecosystems

SUMMARY M ore than four decades of research provide unequivocal evidence that sulfur, nitrogen, and mercury pollution have altered, and will continue to alter, our nation's lands and waters. The emission and deposition of air pollutants harm native plants and animals, degrade water quality, affect forest productivity, and are damaging to human health. Many air quality policies limit emissions a...

Urbanization of Aquatic Systems: Degradation Thresholds, Stormwater Detection, and the Limits of Mitigation1

Urbanization of a watershed degrades both the form and the function of the downstream aquatic system, causing changes that can occur rapidly and are very difficult to avoid or correct. A variety of physical data from lowland streams in western Washington displays the onset of readily observable aquatic-system degradation at a remarkably consistent level of development, typically about ten perce...