The Risk of Failure: Trial and Error Learning and Long-Run Performance

GAICIL Insights
Some of the most expensive failures are the experiments nobody ran.1 The Risk of Failure: Trial and Error Learning and Long-Run Performance, by Steven Callander and Niko Matouschek, builds a model of that hidden cost. Risk-averse agents learn by watching earlier agents' choices and the outcomes they produced. Innovation, the authors note, is often the key to sustained progress, yet it is difficult and highly risky; breakthroughs mix with setbacks, and the path of learning is typically far from smooth.
Two results drive everything. First, a performance trap: low-performing agents opt out of experimenting and so never gain the knowledge needed to improve. Second, risk echoes through time, producing on average a divergence in long-run performance across agents. Those who start ahead keep experimenting and learning. Those who start behind stop, and stay behind. Caution, rational in each moment, compounds into permanent disadvantage.
Lay that over the diffusion of artificial intelligence and the familiar story about AI divides gets a twist. Firms, regions and countries all face a choice about whether to try uncertain AI tools. The well-performing can absorb a failed pilot. The struggling may rationally avoid the gamble because a setback would hurt too much. The model predicts the gap widens precisely because laggards stop learning. Debates about AI divides usually fixate on access to technology. This paper points to a quieter barrier: the capacity to afford being wrong.
Call it the poverty of experimentation. A firm with thin margins can buy the same software as a leader and still never use it boldly, because it cannot survive the downside. The divide is in risk tolerance as much as in tools.
The remedies follow from the mechanism. If risk aversion blocks experimentation among low performers, lowering the cost of failure unlocks learning. Insurance against failed trials, regulatory sandboxes that limit liability for early experiments, and public support for pilot projects all shrink the downside for would-be abstainers. Spillovers matter too: agents learn from the choices and outcomes of those before them. Transparent reporting of AI deployment results, failures included, enlarges the knowledge base of followers and cuts the risk each newcomer faces. A public library of failed AI pilots might be a valuable public resource.
Regulation enters through the same door. Rules that raise the cost of failure, for instance heavy liability for any error in early deployments, push more agents into the trap. The model implies such rules breed divergence: well-resourced incumbents keep experimenting while smaller firms retreat. Rules designed to reduce risk can entrench performance gaps. A balanced approach separates harms that justify strict rules from the ordinary setbacks that learning requires.
The authors draw the boundaries of their framework carefully. Their agents' theoretical knowledge is perfect and unchanging; they know the drift and variance terms and lack only knowledge of the realized setting. The most interesting next step, they say, is a richer environment where agents must also learn how their world was created, which could bring momentum effects in experimentation and performance into play. They also propose stochastic processes other than Brownian motion, under which the risk-return trade-off would no longer be independent of performance and action.
Those extensions read like a description of AI today. Firms are unsure whether a given application will work, and they are also learning the shape of the outcome distribution itself. In that setting, experimentation is worth even more, and a performance trap costs even more.
The provocative conclusion is that failure policy is growth policy. How a society treats a botched pilot, a failed startup or a mistaken deployment determines who keeps learning. Make failure survivable and more agents experiment, learn faster and converge. Make it ruinous and learning pools among those already ahead. As AI opens a vast new space for trial and error, the institutions that govern failure may decide who shares in the gains.
One closing image captures the model: two climbers in fog. The one with a rope keeps testing new footholds and finds the summit. The one without a rope stands still, safe and stuck. Supplying ropes is the policy challenge of the AI era.
Introduction
Innovation is often the key to sustained progress, yet innovation itself is difficult and highly risky. Success is not guaranteed as breakthroughs are mixed with setbacks and the path of learning is typically far from smooth. How decision makers learn by trial and error and the efficacy of the process are inextricably linked to the incentives of the decision makers themselves and, in particular, to their tolerance for risk. In this paper, we develop a model of trial and error learning with risk averse agents who learn by observing the choices of earlier agents and the outcomes that are realized. We identify sufficient conditions for the existence of optimal actions. We show that behavior within each period varies in risk and performance and that a performance trap develops, such that low performing agents opt to not experiment and thus fail to gain the knowledge necessary to improve performance. We also show that the impact of risk reverberates across periods, leading, on average, to divergence in long-run performance across agents. (JEL D81, D83, O31, O38)
Takeaway
The model we develop provides a rich representation of the uncertainty agents face in their environment. Yet, in so doing, it points to other possible avenues of interest, beyond those we pursue here. Perhaps the most interesting next step is to enrich the underlying economic environment, both via the knowledge held by agents and by the generating process. In our model, agents’ theoretical knowledge is perfect and unchanging as they know precisely the value of the drift and variance terms. All agents lack is knowledge of the particular realized setting that they face. It is straightforward to suppose that the agents must learn also about how their world was created—about the drift and variance parameters—and use this knowledge to inform their actions. This deepening of the decision problem would add realism to the agents’ problem and bring into play several possibilities of substantive interest, in particular, whether momentum effects will emerge in experimentation and performance. Another possibility is to model uncertainty via stochastic processes other than the Brownian motion. As we describe in the introduction, an appealing feature of the Brownian motion is that the risk-return trade-off is independent of performance and action. This neutrality is not present in other stochastic processes. In that case, the effects of risk aversion become intertwined with the risk-return opportunities available given the search history.1
Notes
- Steven Callander & Niko Matouschek, The Risk of Failure: Trial and Error Learning and Long-Run Performance, 11 Am. Econ. J. Microecon. 44 (2019), https://doi.org/10.1257/mic.20160359. Takeaway source: IV. Discussion, reproduced from the free-to-read version from the publisher. ↩
Cite as: Steven Callander & Niko Matouschek, The Risk of Failure: Trial and Error Learning and Long-Run Performance, 11 Am. Econ. J. Microecon. 44 (2019), https://doi.org/10.1257/mic.20160359
Header image: Bacteria growth under the microscope 04.jpg by Korinna, CC BY 4.0, via Wikimedia Commons.
