How Wasteful is Signaling?
New research finds signaling waste depends on just two elasticities, not cost convexity.
Economists Alex Frankel (University of Chicago) and Navin Kartik (Columbia University) have published a significant new paper titled 'How Wasteful is Signaling?' on the arXiv preprint server. The research tackles a fundamental question in economics and game theory: when individuals or firms engage in costly signaling to demonstrate their quality (like expensive degrees or lavish corporate spending), what portion of the total potential value is actually wasted? Their breakthrough is a surprisingly simple and general formula for calculating this 'waste ratio' in what they term 'isoelastic environments.'
The core finding is that the fraction of surplus dissipated is β/(β+σ), where β represents the 'benefit elasticity' (how much reward increases with better perception) and σ is the 'elasticity of cost advantage' for higher-quality types. Crucially, the researchers show this ratio is constant across different agent types and, most notably, independent of other common parameters like the convexity of the cost function for sending the signal. This means the shape of the cost curve doesn't change the fundamental proportion of waste—a counterintuitive result that simplifies analysis.
Frankel and Kartik further demonstrate that the directional effects of β and σ on waste hold true even in non-isoelastic environments, reinforcing the robustness of their insights. The paper, which sits at the intersection of General Economics (econ.GN) and Computer Science/Game Theory (cs.GT), provides a powerful new lens. It allows economists and strategists to quantify inefficiency in scenarios ranging from educational credentialism and corporate branding to biological signaling and financial markets, moving the field from qualitative claims to precise, calculable waste.
- Derives universal waste formula β/(β+σ) for signaling equilibria, where β is benefit elasticity and σ is cost advantage elasticity.
- Shows waste ratio is constant across types and independent of cost function convexity, a key simplifying insight.
- Findings apply to economics, game theory, and real-world signaling in job markets, education, and corporate competition.
Why It Matters
Provides a quantifiable tool to measure inefficiency in education, hiring, and branding, moving signaling theory from concept to calculation.