Foundations of Law and Economics
1947
United States v. Carroll Towing Co.
159 F.2d 169 (2d Cir. 1947)
United States Court of Appeals for the Second Circuit
Issue
Negligence, precaution costs, accident probability, and expected loss.
Facts
A tug shifted barges in New York Harbor, leading to the breakaway and sinking of the barge Anna C. The dispute included whether the barge owner's failure to have a bargee aboard contributed to the loss.
Holding
The court held that the absence of a bargee could constitute contributory negligence depending on the burden of precaution, probability of harm, and gravity of loss.
Reasoning
Judge Learned Hand expressed negligence as a comparison between the burden of adequate precaution and the expected accident loss, commonly summarized as B less than P multiplied by L. The formula made explicit the balancing already implicit in reasonable-care analysis.
Why It Matters
Carroll Towing is perhaps the most direct judicial expression of cost-benefit reasoning in negligence law and is central to economic analysis of accident law.
Institutional Analysis
Institutional problem
The case provides a structured way to ask whether the burden of precaution was justified by the probability and gravity of expected loss.
Economic analysis
The burden–probability–loss formulation makes the precaution tradeoff explicit and can direct attention to marginal accident avoidance. Its variables are often uncertain, interdependent, and difficult for courts to quantify. It also does not decide how rights, statutory duties, distribution, or reciprocal precautions should affect liability.
Alternatives and limits
Specific safety rules, industry custom, strict liability, insurance, comparative fault, and administrative regulation can outperform case-by-case balancing in some settings. The formula is an analytical aid within negligence reasoning, not a complete mathematical rule for every accident case.
This analytical supplement distinguishes institutional interpretation from the court’s holding and reasoning.
Research Questions
- Which actor could alter accident probability at the lowest total cost?
- When does a clear safety rule outperform ex post judicial balancing?
Case Text and Citation
Cite the reported decision as 159 F.2d 169 (2d Cir. 1947). The linked copy is provided for reading access and may be hosted by a court, institutional repository, or secondary case archive.
Open case text: OpenJuris