Theory

PrefGraph’s theory docs are organized as a linear path. Read the phases in order if you are new to revealed preference, or jump to the phase that matches the kind of data you are scoring.

Phase 1 - Foundations

Start with notation, maintained assumptions, and the axiom hierarchy. This phase explains what the observed prices, bundles, menus, and choices must mean before any score should be trusted.

Phase 2 - Budget Consistency

Budget choices are price-quantity observations. This phase covers WARP, GARP, SARP, and related consistency tests, including the strict edge that makes a revealed-preference cycle a GARP violation.

Budget consistency tests

Phase 3 - Budget Efficiency

Once consistency is defined, the next question is distance from consistency. This phase covers CCEI/AEI, MPI, Houtman-Maks, Bronars power, and related scores.

Budget efficiency scores

Phase 4 - Budget Structure and Recovery

This phase covers stronger structure: homotheticity, quasilinearity, separability, integrability, and recovered utility.

Budget structure and utility recovery

Phase 6 - Stochastic Menus and Attention

The final menu phase covers choice frequencies, random utility, random attention, limited attention, and attention filters.