{'fraction_non_alphanumeric': 0.018387553041018388, 'fraction_numerical': 0.005657708628005658, 'mean_word_length': 5.679245283018868, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Functional Forms, Exogenous Shifts, and Economic Surplus Changes

Conditions for exact welfare measures in equilibrium displacement modeling are examined. These relate to the functional form of supply and demand, the nature of the exogenous shift, and the definition of percentage changes. Approximation errors when these conditions are not met in empirical applications are investigated and analytical expressions for the errors derived. Significant errors are possible when a proportional shift is assumed. The assumptions underlying Alston and Wohlgenant's empirical findings are identified. The restriction that supply must be elastic is shown to be unnecessary. Copyright 1997, Oxford University Press.