Finding good bets in the lottery, and why you shouldn't take them

Paper: arXiv 2507.01993

Authors: Aaron Abrams, Skip Garibaldi

Abstract

We give a criterion under which the expected return on a ticket for certain large lotteries is positive. In this circumstance, we use elementary portfolio analysis to show that an optimal investment strategy includes a very small allocation for such tickets.

Complexity vs Empirical Score

• Math Complexity: 7.5/10
• Empirical Rigor: 3.0/10
• Quadrant: Lab Rats — theoretically deep, empirically untested

Why this score: The paper employs advanced mathematics including portfolio theory and probabilistic modeling to derive theoretical criteria for lottery investments, but lacks empirical backtesting, implementation details, or statistical validation, focusing instead on theoretical results.

Research Flowchart

  flowchart TD
  A["Research Question:<br>When is a lottery ticket<br>a good bet?"] --> B["Key Methodology:<br>Portfolio Analysis"]
  B --> C{"Data & Inputs:<br>Lottery Parameters &<br>Market Rates"}
  C --> D["Computation:<br>Expected Return &<br>Risk Allocation"]
  D --> E["Outcome 1:<br>Positive Expected Return<br>under specific conditions"]
  D --> F["Outcome 2:<br>Optimal Strategy:<br>Very small allocation"]