Two Externalities That Define Our Future

Economic growth has produced the greatest improvement in human welfare in history. It has also produced the greatest threat to the planet’s climate. The 2018 Nobel Prize honored two economists who brought these two forces — the positive externality of knowledge creation and the negative externality of carbon emissions — into the heart of macroeconomic analysis.

Paul Romer explained where growth comes from: ideas. Unlike physical resources, ideas can be shared without being used up. One person’s use of the Pythagorean theorem doesn’t prevent anyone else from using it. This non-rivalry of knowledge is the engine of sustained growth — and it means the economics of ideas is fundamentally different from the economics of things.

William Nordhaus explained where growth goes wrong: climate change. Burning fossil fuels drives economic activity but warms the planet. Nordhaus built the first quantitative model linking the economy to the climate, providing the tools to calculate the true cost of carbon emissions and design policies to address them.


Romer: Endogenous Growth Theory

Before Romer, growth theory had an embarrassing gap. The Solow model (1987 Nobel) showed that technology drives long-run growth — but treated technology as falling from the sky. Where do new technologies come from? Why do some economies innovate faster than others? The model was silent.

Romer’s breakthrough (1990): technological change is endogenous — it results from deliberate choices by profit-seeking firms and individuals who invest in research and development.

Ideas are fundamentally different from objects:

  • Non-rival: A car can only be driven by one person at a time. But a design for a car can be used by every manufacturer simultaneously. Ideas can be shared without being depleted — one person using an idea doesn’t prevent others from using it
  • Partially excludable: Through patents and trade secrets, innovators can capture some (but not all) of the returns from their ideas. This creates enough incentive to innovate, even though ideas naturally want to spread
  • Increasing returns: Because ideas are non-rival, doubling all inputs (labor, capital, AND knowledge) more than doubles output. This breaks the standard assumption of constant returns to scale and explains why growth can accelerate rather than slow down

The Romer model:

  • Firms invest in R&D because they expect to profit from new products or processes
  • New ideas build on existing ideas — “standing on the shoulders of giants.” Each innovation makes future innovation easier
  • But innovators don’t capture all the benefits of their ideas — knowledge spills over to other firms and future researchers. This positive externality means the market produces too little innovation relative to the social optimum
  • The growth rate depends on the number of people engaged in research, the productivity of research, and the incentives to innovate — all of which can be influenced by policy

Policy implications:

  • R&D subsidies: Because innovation has positive externalities, the market underinvests. Government subsidies for research can increase the growth rate
  • Education: More human capital means more people capable of generating ideas. Investment in education is investment in long-run growth
  • Intellectual property: Patents create incentives to innovate by granting temporary monopolies — but too-strong patents can block the knowledge spillovers that fuel further innovation. The optimal patent system balances these forces
  • Openness: Trade and migration spread ideas across borders. Closed economies grow slower because they miss out on global knowledge spillovers

Nordhaus: The Economics of Climate Change

In the 1970s, when scientists first warned about greenhouse warming, William Nordhaus began the decades-long project of building an economic model of climate change. The challenge: climate change involves physics, chemistry, ecology, and economics simultaneously, operates over centuries, and requires balancing present costs against uncertain future damages.

The DICE model (Dynamic Integrated model of Climate and the Economy):

  • The economy uses fossil fuels to produce output, emitting CO₂ as a byproduct
  • CO₂ accumulates in the atmosphere, raising global temperatures according to climate science
  • Higher temperatures reduce economic output through damage to agriculture, infrastructure, health, and ecosystems
  • The economy can reduce emissions by switching to clean energy or improving efficiency — but this costs money today
  • The model finds the optimal balance: how much to spend on reducing emissions now versus accepting damages later

The social cost of carbon:

  • Nordhaus’s central contribution was quantifying the social cost of carbon — the economic damage caused by emitting one additional ton of CO₂. His estimates have risen over time: from about 19/toninearlyversionsto19/ton in early versions to 66/ton in DICE-2023
  • This number is policy’s north star: if the social cost of carbon is 66/ton,thenanypolicythatreducesemissionsforlessthan66/ton, then any policy that reduces emissions for less than 66/ton is worth doing
  • The most efficient tool: a carbon tax set equal to the social cost of carbon. This lets the market find the cheapest ways to reduce emissions, without the government needing to pick winners

Key findings:

  • Unchecked climate change could reduce global GDP by several percent per year by the end of this century — with much larger effects in tropical and poor countries
  • The optimal policy involves gradually increasing carbon taxes as damages mount — starting at a moderate level and rising over time
  • Delay is costly: every decade of inaction makes the eventual adjustment harder and more expensive
  • The price of carbon worldwide remains far below the level necessary to meet the Paris Agreement goals — Nordhaus estimates about 80/tonisneeded,whiletheglobalaverageisaround80/ton is needed, while the global average is around 3/ton

The Twin Externalities

Romer and Nordhaus, working on seemingly different problems, addressed the same fundamental issue: markets fail when costs or benefits spill over to others.

  • Romer’s positive externality: Knowledge creation benefits everyone, but innovators can’t capture all the gains. The market produces too few ideas. Solution: subsidize research, invest in education, protect (but not over-protect) intellectual property
  • Nordhaus’s negative externality: Carbon emissions harm everyone, but emitters don’t bear the full cost. The market produces too much pollution. Solution: price carbon through taxes or cap-and-trade systems

Together, they suggest a powerful policy combination: tax the bad (carbon) and subsidize the good (innovation). Green innovation — the intersection of their work — may be the key to solving climate change without sacrificing growth.

Their 2018 Nobel Prize was awarded to Nordhaus “for integrating climate change into long-run macroeconomic analysis” and to Romer “for integrating technological innovations into long-run macroeconomic analysis.”


Explain It to a Child

Imagine a library where every book you read makes you smarter AND makes all other books easier to understand. The more you read, the faster you learn — forever. That’s Romer’s idea about how knowledge works in the economy: ideas build on ideas, and everyone benefits. Now imagine that same library is heated by a giant furnace that burns dirty coal. The library gets warm and cozy, but the smoke drifts into the neighborhood, making people sick. That’s Nordhaus’s idea about climate change: economic activity warms the planet, and the cost falls on everyone — not just the people burning the fuel. Nordhaus figured out how to calculate exactly how much damage each puff of smoke causes, so we can decide how much to spend on cleaning it up. Together, their message is: keep reading (innovating), but fix the furnace (clean energy).

定义我们未来的两个外部性

经济增长创造了人类历史上最伟大的福利改善。它也产生了对地球气候的最大威胁。2018年诺贝尔奖表彰了两位将这两种力量——知识创造的正外部性和碳排放的负外部性——纳入宏观经济分析核心的经济学家。

罗默解释了增长来自哪里:思想。与物质资源不同,思想可以在不被消耗的情况下共享。一个人使用勾股定理不会阻止其他人使用它。知识的非竞争性是持续增长的引擎——这意味着思想的经济学与事物的经济学根本不同。

诺德豪斯解释了增长在哪里出错:气候变化。燃烧化石燃料驱动经济活动但使地球升温。诺德豪斯构建了第一个将经济与气候联系起来的定量模型,提供了计算碳排放真实成本和设计应对政策的工具。


罗默:内生增长理论

在罗默之前,增长理论有一个令人尴尬的缺口。索洛模型(1987年诺贝尔奖)表明技术驱动长期增长——但将技术视为从天而降。新技术从哪里来?为什么有些经济体创新更快?模型是沉默的。

罗默的突破(1990年):技术变革是内生的——它源于追求利润的企业和个人对研发进行投资的刻意选择。

思想与物体根本不同

  • 非竞争性:一辆车一次只能被一个人驾驶。但一个汽车设计可以同时被每个制造商使用。思想可以在不耗尽的情况下共享——一个人使用一个想法不会阻止其他人使用
  • 部分可排斥性:通过专利和商业秘密,创新者可以获取其思想回报的一部分(但非全部)。这创造了足够的创新激励,即使思想天然倾向于传播
  • 递增报酬:因为思想是非竞争性的,将所有投入(劳动、资本和知识)翻倍产出超过翻倍。这打破了规模报酬不变的标准假设,解释了为什么增长可以加速而非减速

罗默模型

  • 企业投资研发因为他们预期从新产品或新工艺中获利
  • 新思想建立在现有思想之上——“站在巨人肩膀上”。每项创新使未来创新更容易
  • 但创新者不能获取其思想的所有收益——知识溢出到其他企业和未来研究者。这种正外部性意味着市场相对于社会最优产生了太少的创新
  • 增长率取决于从事研究的人数、研究生产力和创新激励——所有这些都可以通过政策影响

政策含义

  • 研发补贴:因为创新有正外部性,市场投资不足。政府对研究的补贴可以提高增长率
  • 教育:更多人力资本意味着更多能够产生思想的人。对教育的投资是对长期增长的投资
  • 知识产权:专利通过授予临时垄断来创造创新激励——但过强的专利可能阻碍推动进一步创新的知识溢出。最优专利制度平衡这些力量
  • 开放性:贸易和移民跨境传播思想。封闭经济增长更慢,因为错过了全球知识溢出

诺德豪斯:气候变化经济学

1970年代,当科学家首次警告温室效应变暖时,诺德豪斯开始了长达数十年的构建气候变化经济模型的项目。挑战在于:气候变化同时涉及物理、化学、生态和经济,运作跨越数个世纪,需要平衡当前成本与不确定的未来损害。

DICE模型(气候与经济动态综合模型):

  • 经济使用化石燃料生产产出,作为副产品排放CO₂
  • CO₂在大气中积累,根据气候科学提高全球温度
  • 更高的温度通过损害农业、基础设施、健康和生态系统来减少经济产出
  • 经济可以通过转向清洁能源或提高效率来减少排放——但这需要花费今天的钱
  • 模型找到最优平衡:现在花多少钱减排,还是接受未来的损害

碳的社会成本

  • 诺德豪斯的核心贡献是量化碳的社会成本——额外排放一吨CO₂造成的经济损害。他的估计随时间上升:从早期版本的约19美元/吨到DICE-2023的66美元/吨
  • 这个数字是政策的北极星:如果碳的社会成本是66美元/吨,那么任何以低于66美元/吨减少排放的政策都值得做
  • 最有效的工具:等于碳社会成本的碳税。这让市场找到减排最便宜的方式,政府无需挑选赢家

关键发现

  • 不受约束的气候变化到本世纪末可能每年减少全球GDP数个百分点——对热带和贫穷国家的影响更大
  • 最优政策包括随损害增加逐步提高碳税——从适度水平开始,随时间上升
  • 拖延代价高昂:每十年的不作为使最终调整更困难、更昂贵
  • 全球碳价格远低于满足巴黎协定目标所需的水平——诺德豪斯估计需要约80美元/吨,而全球平均约3美元/吨

双重外部性

罗默和诺德豪斯在看似不同的问题上工作,解决了相同的根本问题:当成本或收益溢出到他人时,市场会失灵。

  • 罗默的正外部性:知识创造惠及所有人,但创新者不能获取所有收益。市场产生的思想太少。解决方案:补贴研究、投资教育、保护(但不过度保护)知识产权
  • 诺德豪斯的负外部性:碳排放损害所有人,但排放者不承担全部成本。市场产生太多污染。解决方案:通过税收或排放交易系统为碳定价

他们共同建议了强大的政策组合:对坏的征税(碳),对好的补贴(创新)。绿色创新——他们工作的交集——可能是在不牺牲增长的情况下解决气候变化的关键。

他们2018年的诺贝尔奖授予诺德豪斯”因其将气候变化纳入长期宏观经济分析”,授予罗默”因其将技术创新纳入长期宏观经济分析”。


讲给小孩听

想象一个图书馆,你读的每一本书都让你更聪明,而且让所有其他书更容易理解。你读得越多,学得越快——永远。这就是罗默关于知识在经济中如何运作的想法:思想建立在思想之上,每个人都受益。现在想象同一个图书馆由一个烧脏煤的大熔炉供暖。图书馆变得温暖舒适,但烟雾飘到附近,让人们生病。这就是诺德豪斯关于气候变化的想法:经济活动使地球变暖,成本落在每个人身上——不仅仅是烧燃料的人。诺德豪斯算出了每一缕烟造成的确切损害,这样我们就可以决定花多少钱来清理它。他们共同的信息是:继续读书(创新),但修好熔炉(清洁能源)。


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