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The extent of voluntary cooperation in the presence of externalities is shown as an equilibrium outcome in the supply and demand framework. The analysis uses familiar ingredients to provide a new way of understanding the results of the extensive literature beginning with Buchanan, Coase, Ostrom, Shapley, Telser, Tullock, and Williamson showing that a Pigouvian tax is not the only alternative to independently acting individuals who are coordinated merely through distorted market prices. Voluntary cooperation transforms the character of the costs resulting from externalities and may have a far different incidence than Pigouvian taxes and subsidies do. The paper discusses applications including forest management, volume discounts, residential associations, energy policy, the scope of planning of household activities, and the role of workplaces in preventing infectious disease., (© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023, Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.)

From April 2020 through at least the end of 2021, Americans died from non-Covid causes at an average annual rate of 97 000 in excess of previous trends. Hypertension and heart disease deaths combined were elevated 32 000. Diabetes or obesity, drug-induced causes, and alcohol-induced causes were each elevated 12 000 to 15 000 above previous (upward) trends. Drug deaths especially followed an alarming trend, only to significantly exceed it during the pandemic to reach 108 000 for calendar year 2021. Homicide and motor-vehicle fatalities combined were elevated almost 10 000. Various other causes combined to add 18 000. While Covid deaths overwhelmingly afflict senior citizens, absolute numbers of non-Covid excess deaths are similar for each of the 18 to 44, 45 to 64, and over-65 age groups, with essentially no aggregate excess deaths of children. Mortality from all causes during the pandemic was elevated 26% for working-age adults (18-64), as compared to 18% for the elderly. Other data on drug addictions, non-fatal shootings, weight gain, and cancer screenings point to a historic, yet largely unacknowledged, health emergency.

The health costs of in-person schooling during the pandemic, if any, fall primarily on the families of students, largely owing to the fact that students significantly outnumber teachers. Data from North Carolina, Wisconsin, Australia, England, and Israel covering almost 80 million person-days in school during 2020 help assess the magnitude of the fatality risks of in-person schooling, accounting for mitigation protocols as well as the age and living arrangements of students and teachers. The risks of in-person schooling to unvaccinated teachers are, for those not yet elderly, small enough to challenge comprehension. Valued at a VSL of $10 million, the average daily fatality cost ranges from $0.01 for a young teacher living alone to as much as $29 for an elderly teacher living with an elderly spouse. For each 22 million unvaccinated students and teachers schooling in-person for a 5-day week during the pandemic, the expected number of fatalities among teachers and their spouses is one or less., (© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021.)