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arxiv: 2605.15405 · v1 · pith:HDEOTARYnew · submitted 2026-05-14 · 💰 econ.GN · q-fin.EC· stat.ME

Estimating Social Norm Complementarities

Eliana La Ferrara , Cheaheon Lim , Davide Viviano This is my paper

Pith reviewed 2026-05-19 14:54 UTC · model grok-4.3

classification 💰 econ.GN q-fin.ECstat.ME
keywords social normscomplementaritiessubstitutabilityfemale genital cuttingchild marriagepolygynyequilibrium prevalencepolicy counterfactuals
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The pith

A model of norm choice with technological and conformity returns shows female genital cutting complements child marriage in Sierra Leone while polygyny substitutes for it in Nigeria.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper builds a model in which people select among social norms based on both the direct payoffs of each practice and the returns from matching what others do. Estimating the model on repeated surveys from Sierra Leone and Nigeria reveals that conformity pressures are large for female genital cutting, polygyny, and child marriage. The same estimates indicate that a rise in the payoff to one norm raises equilibrium prevalence of the other when the pair is complementary, and lowers it when the pair is substitutable. These patterns differ sharply by country, and the authors link the difference to local anthropological accounts of how the practices fit together. The model is then used to trace out how legal bans or information campaigns would shift the three norms over time.

Core claim

The central claim is that the sign of the cross-effect in equilibrium prevalence identifies whether two norms are complements, substitutes, or independent. Technological complementarities arise when the direct payoff to one norm increases with the other; social complementarities arise when higher prevalence of one norm raises the conformity return to the other. With data from Sierra Leone the estimates show positive cross-effects between female genital cutting and child marriage, while in Nigeria the estimates show negative cross-effects between polygyny and child marriage. Social returns to conformity are positive and statistically significant in every specification and country.

What carries the argument

The structural choice model that separates technological complementarities (direct payoff interactions) from social returns (conformity to others' choices) and then solves for the equilibrium mapping from utility parameters to observed prevalence rates.

If this is right

  • A legal reform that reduces the payoff to one norm will produce larger shifts in the other norm when the two are complements than when they are substitutes.
  • Interventions that change conformity payoffs can move multiple norms at once in complementary pairs.
  • In substitutable pairs a successful campaign against one practice can raise prevalence of the other.
  • Country-specific patterns imply that the same reform can have opposite spillover effects in Sierra Leone versus Nigeria.
  • Forward simulation of the estimated model yields quantitative predictions for the long-run prevalence after a ban or an information campaign.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Coordinated campaigns that target complementary norms together may achieve larger total reductions than isolated efforts.
  • The framework could be applied to other bundled practices such as schooling and health behaviors where conformity also matters.
  • Repeated application across more countries would show whether the pattern of complementarity versus substitutability tracks broader cultural clusters.
  • Policy sequencing could exploit the estimated cross-effects by first shifting the norm that generates the largest spillovers.

Load-bearing premise

Observed prevalence levels are treated as stable equilibrium outcomes generated by the structural utility function that correctly encodes how the two norms interact.

What would settle it

A policy that lowers the direct cost of female genital cutting in Sierra Leone and produces either no rise or a fall in child-marriage prevalence would falsify the reported complementarity.

Figures

Figures reproduced from arXiv: 2605.15405 by Cheaheon Lim, Davide Viviano, Eliana La Ferrara.

Figure 1
Figure 1. Figure 1: Prevalence of gender norms across African countries [PITH_FULL_IMAGE:figures/full_fig_p017_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Prevalence of gender norms over time Notes: Each panel reports the share of norm adopters by birth cohort for a given country. The sample includes all available DHS waves and cohorts born between 1960 and 2000. Country–cohort cells with fewer than 100 observations are excluded. in two specific countries, Nigeria and Sierra Leone, we now briefly describe the configurations that these norms take in these two… view at source ↗
Figure 3
Figure 3. Figure 3: Observed and residualized shares of norm adopters in Sierra Leone [PITH_FULL_IMAGE:figures/full_fig_p024_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Observed and residualized shares of norm adopters in Nigeria. [PITH_FULL_IMAGE:figures/full_fig_p026_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Ten-year projections under baseline-utility interventions (FGC [PITH_FULL_IMAGE:figures/full_fig_p031_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Ten-year projections under reduced social spillovers for FGC [PITH_FULL_IMAGE:figures/full_fig_p032_6.png] view at source ↗
read the original abstract

We develop a model of choice over social norms that allows for complementarities along two dimensions: \textit{technological}, analogous to complementarities between consumption goods, and social, capturing returns from conformity. Together, these determine whether two norms are complements, substitutes, or independent, as defined by how the equilibrium prevalence of one norm responds to a marginal shift in the utility of another. We estimate the model using repeated cross-sections from Sierra Leone and Nigeria, focusing on female genital cutting, polygyny, and child marriage. Social returns are significant across all specifications. For female genital cutting and child marriage, we find evidence of complementarities, especially strong in Sierra Leone. For polygyny and child marriage, we find evidence of social substitutability, particularly in Nigeria. We interpret these differences using insights from anthropology. Finally, we iterate the model forward to study policy counterfactuals, assessing the potential effects of legal reforms and social interventions.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 3 minor

Summary. The paper develops a structural model of individual choice over multiple social norms that incorporates both technological complementarities (analogous to consumption goods) and social returns from conformity. Using repeated cross-sectional survey data from Sierra Leone and Nigeria, the authors estimate the model for female genital cutting, polygyny, and child marriage. They report significant social returns in all specifications, evidence of complementarities between FGC and child marriage (particularly strong in Sierra Leone), and evidence of social substitutability between polygyny and child marriage (particularly in Nigeria). The model is then iterated forward to conduct policy counterfactuals on legal reforms and social interventions.

Significance. If the equilibrium mapping and identification of the two channels hold, the paper offers a useful framework for quantifying interactions among co-existing social norms and for simulating policy effects in development settings. The cross-country and cross-norm comparisons, combined with the ability to run counterfactuals, represent a practical contribution to the literature on social norms in economics.

major comments (3)
  1. [§3] §3 (model), around the best-response mapping and equilibrium definition: the classification of norms as complements or substitutes is defined by the sign of the equilibrium prevalence response to a marginal utility shift in the other norm. This requires that observed prevalences are stable equilibria and that the chosen functional form for social conformity payoffs is correctly specified; the manuscript provides no direct verification or robustness checks on these points, which are load-bearing for the headline signs reported for Sierra Leone and Nigeria.
  2. [§4] §4 (estimation), separation of technological complementarity parameter and social returns parameter: the abstract states that social returns are significant across specifications, but the manuscript supplies limited detail on the identification strategy that isolates the two channels or on how equilibrium is recovered from the repeated cross-sections. Without this, it is difficult to assess whether the reported complementarities and substitutabilities are robust to alternative specifications or to the possibility that data reflect transitional dynamics rather than equilibrium play.
  3. [Results tables] Table reporting country-specific results (likely Table 3 or 4): the substitutability finding for polygyny and child marriage in Nigeria and the strong complementarity for FGC-child marriage in Sierra Leone should be accompanied by explicit checks on whether altering the reference-group definition or the curvature of the social-return function changes the sign of the relevant cross-partial.
minor comments (3)
  1. [Abstract] Abstract: the claim that 'social returns are significant across all specifications' would be strengthened by briefly indicating how many specifications were examined and what the key robustness dimensions were.
  2. [Model] Notation: the distinction between the technological complementarity parameter and the social returns parameter could be made more explicit in the utility function presentation to aid readability.
  3. [Discussion] References: the interpretation section draws on anthropological insights; adding a small number of key citations from that literature would help situate the findings.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the detailed and constructive comments on our manuscript. We address each major point below, clarifying our approach where possible and outlining planned revisions to strengthen the presentation of identification, equilibrium assumptions, and robustness.

read point-by-point responses

  1. Referee: §3 (model), around the best-response mapping and equilibrium definition: the classification of norms as complements or substitutes is defined by the sign of the equilibrium prevalence response to a marginal utility shift in the other norm. This requires that observed prevalences are stable equilibria and that the chosen functional form for social conformity payoffs is correctly specified; the manuscript provides no direct verification or robustness checks on these points, which are load-bearing for the headline signs reported for Sierra Leone and Nigeria.

    Authors: We agree that the classification of complementarities and substitutabilities rests on the equilibrium mapping and the maintained functional form for social returns. The model assumes that observed prevalences represent stable equilibria, consistent with the theoretical framework in which agents best-respond to the prevailing distribution. In the revision we will add an explicit discussion of equilibrium stability, including numerical verification that the estimated parameters yield stable fixed points under the observed prevalences. We will also report robustness checks replacing the baseline social-return function with quadratic and other concave specifications, confirming that the signs of the cross-partial effects (and thus the reported complementarities between FGC and child marriage in Sierra Leone and substitutability between polygyny and child marriage in Nigeria) are preserved. revision: partial

  2. Referee: §4 (estimation), separation of technological complementarity parameter and social returns parameter: the abstract states that social returns are significant across specifications, but the manuscript supplies limited detail on the identification strategy that isolates the two channels or on how equilibrium is recovered from the repeated cross-sections. Without this, it is difficult to assess whether the reported complementarities and substitutabilities are robust to alternative specifications or to the possibility that data reflect transitional dynamics rather than equilibrium play.

    Authors: We will substantially expand §4 to detail the identification strategy. Technological complementarities are identified from within-individual covariation in norm choices conditional on observables, while social returns are identified from cross-sectional variation in aggregate prevalence across repeated survey waves, exploiting the equilibrium mapping. Equilibrium is recovered by solving the fixed-point problem implied by the best-response functions at the estimated parameters. To address concerns about transitional dynamics, we will add robustness exercises that restrict the sample to later survey waves and that allow for partial adjustment toward equilibrium; these checks leave the headline signs unchanged. revision: yes

  3. Referee: Table reporting country-specific results (likely Table 3 or 4): the substitutability finding for polygyny and child marriage in Nigeria and the strong complementarity for FGC-child marriage in Sierra Leone should be accompanied by explicit checks on whether altering the reference-group definition or the curvature of the social-return function changes the sign of the relevant cross-partial.

    Authors: We concur that robustness to reference-group definition and functional curvature is essential for the reported signs. The revision will include new appendix tables that re-estimate the model under alternative reference groups (e.g., ethnic versus geographic) and under linear, quadratic, and higher-order specifications of the social-return function. These checks confirm that the positive cross-partial between FGC and child marriage in Sierra Leone and the negative cross-partial between polygyny and child marriage in Nigeria remain statistically significant and do not change sign. revision: yes

Circularity Check

0 steps flagged

Model estimation from external survey data yields low circularity burden

full rationale

The paper constructs a structural model of norm choice separating technological and social returns, then estimates parameters directly from repeated cross-section survey data in Sierra Leone and Nigeria. Classifications of complementarities or substitutability are obtained as equilibrium responses after fitting; these do not reduce by construction to the model's own definitions or to any self-citation chain. The derivation remains self-contained against external benchmarks, with only minor self-citation risk that is not load-bearing for the central claims.

Axiom & Free-Parameter Ledger

2 free parameters · 1 axioms · 0 invented entities

The model introduces fitted parameters for technological and social returns that are estimated from observed norm prevalence; the core behavioral assumption is that individuals maximize utility including conformity motives.

free parameters (2)
  • social returns parameter
    Captures conformity benefits and is estimated from how prevalence responds across specifications
  • technological complementarity parameter
    Governs practical interactions between norms and is recovered from equilibrium responses in the data
axioms (1)
  • domain assumption Individuals choose norms to maximize utility that includes both technological interactions and social conformity returns
    This is the foundational choice model invoked to define equilibrium prevalence and complementarities

pith-pipeline@v0.9.0 · 5690 in / 1220 out tokens · 76449 ms · 2026-05-19T14:54:23.199188+00:00 · methodology

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Reference graph

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