Richard Arnott

Overview

Richard James Arnott (January 23, 1949 – April 21, 2023) was an urban and public economist. Born in London and raised in England and Canada, he received his S.B. in Urban Studies from MIT (1969) and his Ph.D. in Economics from Yale (1975), written under the supervision of Joseph Stiglitz — making the Henry George Theorem paper a collaboration between doctoral advisor and former student. His dissertation, Topics in Residential Location Theory, pioneered the analysis of how public finance interacts with the spatial allocation of households, leading to a theory of optimal city size in a spatial economy. He taught at Queen's University (1975–1988) and Boston College (1988–2007) before becoming Distinguished Professor of Economics at the University of California, Riverside (2007), where he remained until his death from leukemia in April 2023. At the time of his 2004 retrospective he was at Boston College and served as editor of Regional Science and Urban Economics (2003–2007), consistent with the author footnote of that paper (p. 1057).

Arnott is best known in the Georgist context as the co-author, with Stiglitz, of the canonical formalization of the Henry George Theorem in their 1979 Quarterly Journal of Economics paper, and as the author of a 2004 retrospective that critically assessed whether the theorem can serve as a practical guide to optimal city size. He also had a direct connection to the other Nobel-laureate economist most associated with land taxation: after William Vickrey died shortly after the 1996 Nobel announcement, Arnott served as archivist of Vickrey's papers at Columbia University from October 1996 to the end of 1997.

The Henry George Theorem (1979)

Arnott's most significant contribution to land economics is the 1979 paper "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," co-authored with Joseph Stiglitz and published in the Quarterly Journal of Economics (93(4): 471–500). The paper formalizes what is now called the Henry George Theorem: in a city of optimal population size with public goods provided optimally, aggregate differential land rent equals aggregate expenditure on pure local public goods. The intuition is that public goods make a location more desirable, and that desirability is capitalised into land rent; capturing the rent therefore recovers exactly the value the public investment created — a self-financing mechanism requiring no tax on labour or capital.

The theorem turns Henry George's informal intuition that public investment is capitalised into land values into a precise welfare-economics result, derived by a future Nobel laureate (Stiglitz received the Nobel Memorial Prize in 2001; William Vickrey, the other Nobel economist most associated with land taxation, received his in 1996). It is one of the strongest theoretical foundations for land value taxation in mainstream economics. The paper is summarized in detail on the wiki's research page for Arnott & Stiglitz (1979).

The 2004 Retrospective: A Practical Guide?

Twenty-five years after the original theorem, Arnott authored "Does the Henry George Theorem Provide a Practical Guide to Optimal City Size?" (The American Journal of Economics and Sociology 63(5): 1057–1090), as part of a symposium titled "Echoes of Henry George's Economics in Modern Analysis." This is not an outside critique: it is the theorem's own principal architect asking whether the result he helped prove is actually usable — whether it can tell us whether an actual city is too big or too small.

The paper has two key findings:

1. The theorem generalizes very broadly. Arnott shows the rent-equals-public-goods-spending result survives far beyond the textbook identical-individuals model: it holds with heterogeneous individuals and multiple goods, with alternative sources of increasing returns (Marshallian agglomeration economies, congestible facilities), with durable capital in dynamic settings, and even in the presence of real-world distortions — provided aggregates are measured at shadow prices rather than market prices. This generality reinforces the outcome that public goods can be funded from land rent at the theoretical level.
2. But its practical bite is blunted by several unresolved problems. With heterogeneous populations, "optimal city size" is not well defined for a single city; the integer problem (a country's population is rarely an exact multiple of the cost-minimizing city size) means one cannot say a priori whether aggregate shadow profits are positive or negative; land heterogeneity (Ricardian differences in fertility and amenity) is unmodeled; and market prices diverge from shadow prices under real distortions such as unpriced congestion and agglomeration externalities. Arnott's summary verdict: "Does the Henry George Theorem provide a practical guide to optimal city size? The jury is not yet in, but the approach is sufficiently promising to merit further exploration" (p. 1087).

Arnott is also explicit that George himself did not anticipate this theorem. He writes that there is "no suggestion in George's writings that a confiscatory tax on land raises just the right amount of revenue to finance pure public goods in a city of optimal population," concluding that the theorem provides "a different argument for the single tax" than George's own (p. 1068). The theorem bears George's name because it formalizes his intuition, not because George stated or proved it.

The paper is summarized in detail on the wiki's research page for Arnott (2004).

Significance for the Georgist Case

Arnott's work occupies a distinctive position in the Georgist intellectual landscape: he was both a contributor to the strongest mainstream theoretical result supporting land value taxation and a candid critic of over-claiming what that result can deliver in practice. His 1979 paper with Stiglitz is routinely cited as evidence that the core Georgist claim about land taxation is not a fringe position within economics — it appears in mainstream welfare economics derived by a Nobel laureate. His 2004 retrospective disciplines that claim by showing exactly where the theorem's empirical application currently stalls, making him an unusually honest arbiter of the theorem's significance.

The 2004 paper anticipates in spirit the later "second-best" generalization by Behrens, Kanemoto & Murata (2015), which also asks how far the HGT survives real-world frictions.

See Also

• Henry George Theorem
• Optimal City Size
• Joseph Stiglitz
• Arnott & Stiglitz (1979): Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size
• Arnott (2004): Does the Henry George Theorem Provide a Practical Guide to Optimal City Size?
• The Henry George Theorem in a Second-Best World (Behrens, Kanemoto & Murata 2015)
• The Modern Georgism of Respected Economists

Sources

1. Richard Arnott & Joseph Stiglitz (1979), "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," Quarterly Journal of Economics 93(4): 471–500. PDF via Cooperative Individualism — used for co-authorship of the canonical HGT formalization, the theorem's core result, and publication details.
2. Richard Arnott (2004), "Does the Henry George Theorem Provide a Practical Guide to Optimal City Size?" The American Journal of Economics and Sociology 63(5): 1057–1090. JSTOR · Full-text PDF via Cooperative Individualism — used for Arnott's institutional affiliation (author footnote, p. 1057), editorial role, the generalized HGT's broad robustness, the enumeration of practical limitations (heterogeneity, integer problem, land heterogeneity, market vs. shadow prices), the assessment of Kanemoto et al. (1996), the statement that George did not anticipate the theorem (p. 1068), and the summary verdict (p. 1087).
3. Joseph E. Stiglitz (1977), "The Theory of Local Public Goods," in Martin S. Feldstein & Robert P. Inman (eds.), The Economics of Public Services (International Economic Association / Macmillan). Springer chapter, DOI 10.1007/978-1-349-02917-4_12 — the paper that coined the Henry George Theorem; used for co-authorship context with Stiglitz on HGT formalization.
4. UCR Department of Economics (May 2023), "A Tribute to Richard James Arnott." PDF — used for dates of birth (January 23, 1949, London) and death (April 21, 2023, Riverside), the career chronology (Queen's University 1975–1988, Boston College 1988–2007, UC Riverside 2007–2023), the Yale Ph.D. (1975) under Joseph Stiglitz and the dissertation title Topics in Residential Location Theory, the editorship of Regional Science and Urban Economics (2003–2007), Stiglitz's 2001 and Vickrey's 1996 Nobel Memorial Prizes, and Arnott's service as archivist of Vickrey's papers at Columbia University (October 1996–1997).
5. Richard James Arnott, curriculum vitae (December 2014), UC Riverside faculty profile. PDF — used to confirm the birth date, the degree sequence (MIT S.B. 1969; Toronto M.A. 1971; Yale M.A. and M.Phil. 1972, Ph.D. 1975), and the full publication record, including the 1979 QJE paper with Stiglitz.