The Paper Shield in Defense Procurement: A Behavioral Test of the Missing System Trap

builds on The Design Error in Substitution: Why Mechanism Designers Mistake Bilateral Improvement for Social Efficiency when Agents Can Offload System Costs — The formalization of the Missing System Theorem and the definition of βW as the ratio of system welfare cost to industry revenue. (relevant to: Theoretical Framework, when introducing the welfare cost ratio and its measurement.) - This paper complements From Nudge to Guardrail: Behavioral Foundations of Mandatory Pre-Decisional Documentation — The Nudge-Guardrail Boundary Theorem and the estimated welfare cost ratio of 6.00, which provides a benchmark for the magnitude of system welfare costs. (relevant to: Discussion, when interpreting the empirical results and their implications for reform.) - This paper shares a mechanism with Contracting Force, Outsourcing Accountability: Why Private Military Auditing Fails at the Point of Institutional Dependence — The application of the Missing System Theorem to private military contracting, showing a Hollow Win equilibrium in a different procurement context. (relevant to: Discussion, when generalizing the findings to other procurement domains.)

Abstract Defense procurement contracts remain prone to cost overruns, schedule delays, and performance shortfalls despite dense compliance regimes. Standard principal-agent accounts locate these outcomes in information asymmetry and misaligned incentives. This article identifies a behavioral mechanism, the Missing System Trap , in which procurement officers give priority to observable process compliance over unobservable system welfare because welfare outcomes do not enter their personal payoff functions. We adapt the Postnieks theorem from anti-money-laundering (AML) compliance to defense procurement: when regulators mandate compliance procedures but do not measure welfare outcomes, agents converge to a compliance equilibrium that is privately optimal and systemically suboptimal. The empirical test uses U.S. defense procurement data, with the ratio of compliance documentation costs to total contract value as the primary dependent variable. The falsifiable prediction is that contracts with high complexity (>$10M) and officer evaluations weighted toward process compliance (top quartile) have documentation cost ratios of at least 0.15, compared with at most 0.05 when evaluations weight outcomes (bottom quartile). The study draws on archival data from the Federal Procurement Data System (FPDS) and agency inspector general reports. If supported, the Missing System Trap implies...

7.3 Contributions This article makes three contributions. First, it extends the Missing System Trap from AML to defense procurement, demonstrating that the theorem's structural conditions hold in a new domain with significant policy implications. The transfer is structural rather than analogical, based on the isomorphism of payoff functions across domains. Second, it provides a behavioral microfoundation for the "paper compliance" phenomenon documented in procurement audits. Previous explanations have attributed this phenomenon to bureaucratic inertia or risk aversion without formal modeling. The Missing System Trap shows that paper compliance is a rational response to incentive structures, not a pathology of individual officers. Third, it offers a testable empirical design using existing administrative data. The falsifiable prediction is specific enough to be rejected by the data, and the identification strategy exploits variation in contract complexity and evaluation weighting that is available in standard procurement databases.

Footnotes The distinction between process compliance and outcome achievement is central to the behavioral economics of regulation. See Section 2.1 for a review of this literature. The term "Missing System Trap" was introduced by Postnieks (2019) in the context of AML compliance. The present article extends the concept to defense procurement. The "paper shield" metaphor captures the idea that compliance documentation creates the appearance of regulatory effectiveness without actually achieving regulatory objectives. 10 U.S.C. §2304 governs the use of competitive procedures in defense procurement. FAR Part 1 establishes the Federal Acquisition Regulations System. The falsifiable prediction is stated precisely in Section 5.3. The threshold values of 0.15 and 0.05 are derived from the theoretical model in Section 3. The empirical design uses existing administrative data from FPDS, IG reports, and OPM. No new data collection is required. Kahneman and Tversky's (1979) prospect theory is the foundational reference for behavioral economics of compliance. Thaler and Sunstein's (2008) nudge theory emphasizes choice architecture but assumes that regulators can observe outcomes. The Missing System Trap fills this gap by specifying conditions under which welfare outcomes are structurally unobservable. Laffont and Tirole (1993) provide the canonical model of regulation under asymmetric...

3.1 The Postnieks Theorem The Postnieks theorem (2019) gives the Missing System Trap a two-player structure with a regulator and an agent. The regulator selects a compliance mandate M that defines observable process activities. The agent then allocates effort e = (e p, e w), with e p assigned to observable process compliance and e w assigned to unobservable welfare improvement. The agent's payoff is: U A = e p - (e p + e w) + C(e p) Here weights observable compliance, is the cost of effort, is the penalty for non-compliance, and C(e p) denotes the compliance cost function. The exclusion that drives the result is that system welfare W(e w) does not enter the agent's payoff function. The regulator's payoff is: U R = e p - W(e w) Here ΔWeights observable compliance and weights welfare. Since W(e w) is unobservable, the regulator cannot condition their actions on it. Given the agent's response, the regulator's optimal strategy is therefore to choose M so that e p is maximized. The equilibrium is characterized by: e p^ = {e p} U A(e p, e w = 0) e w^ = 0 The agent invests zero effort in welfare improvement because it does not affect their payoff. The regulator observes high e p and believes compliance is effective, but system welfare remains low. This is the Missing System Trap: both players are optimizing given their constraints, but the outcome is suboptimal for society.

outcomes are harder to observe, should have higher compliance documentation costs relative to total contract value. The ratio should increase when officer evaluations place greater weight on process compliance and decrease when evaluations place greater weight on outcomes. The falsifiable claim below states this prediction. This study contributes in three ways. First, it extends the Missing System Trap from AML to defense procurement by showing that the theorem's structural conditions apply in a procurement setting with direct policy relevance. Second, it gives the "paper compliance" pattern observed in procurement audits a behavioral microfoundation, linking officer-level incentives to aggregate cost overruns. Third, it specifies a testable empirical design based on existing administrative data, without requiring new data collection. The article proceeds as follows. Section 2 places the argument in the compliance, procurement, and defense-economics literatures. Section 3 sets out the theoretical mechanism and formal assumptions. Section 4 defines the empirical design, including variables, data sources, and identification strategy. Section 5 reports limitations and falsification tests. Section 6 draws policy implications for procurement governance. ---

1. Introduction The U.S. Department of Defense (DoD) spends approximately $400 billion annually on procurement contracts, yet major defense acquisition programs routinely exceed cost baselines by 30–50% and schedule estimates by 20–40% (GAO, 2023). Existing explanations emphasize technical complexity, contractor opportunism, and weak incentives. The remaining defense-procurement puzzle is institutional: why do compliance regimes with thousands of pages of regulations, mandatory training, and documentation requirements fail to improve acquisition outcomes? This article examines whether the compliance apparatus is itself a source of the procurement failure. The mechanism operates through the procurement officer’s evaluation problem. The formal mandate is to acquire goods and services that meet military requirements at reasonable cost and on schedule. The evaluated mandate, however, is weighted toward process compliance: whether the officer followed the Federal Acquisition Regulation (FAR), documented the source selection decision, and completed the required training modules. These process measures are observable, auditable, and attributable to an individual officer. The relevant acquisition outcomes, including whether the system actually works, whether it was worth the cost, and whether it arrived on time, are observed later, measured less cleanly, and rarely assigned to a...

3.2 Structural Transfer to Defense Procurement The transfer of the theorem from AML to defense procurement is structural rather than analogical. The payoff functions are isomorphic, with the following mapping: | Component | AML Compliance | Defense Procurement | |-----------|----------------|---------------------| | Agent | Compliance officer | Procurement officer | | Observable action | SAR filings, training | Documentation, FAR compliance | | Unobservable welfare | Criminal utility reduction | Cost-effectiveness, security | | Regulator | FinCEN, OCC | Agency leadership, GAO | | Agent payoff | Compliance metrics | Compliance metrics | | Welfare in payoff? | No | No | The structural conditions for the theorem hold in defense procurement for three reasons. First, procurement officer evaluations are based on process compliance metrics. The Federal Acquisition Regulation requires extensive documentation of source selection decisions, cost analyses, and contract administration actions. Officer performance plans typically include metrics such as "compliance with FAR requirements," "timely completion of documentation," and "audit readiness." These metrics are observable, auditable, and easily measured. Second, system welfare outcomes are not attributed to individual procurement officers. Cost overruns and schedule delays are attributed to program managers, not procurement officers...

7.2 Policy Implications The Missing System Trap has three implications for defense procurement reform. First, compliance simplification alone is unlikely to solve the problem. If procurement officers are evaluated on process compliance, they will find ways to demonstrate compliance regardless of the specific requirements. Reducing documentation requirements may lower compliance costs, but it will not change the fundamental incentive structure. Officers will simply shift their compliance effort to the remaining requirements. Second, outcome-based evaluation is necessary but not sufficient. Including outcome metrics in officer evaluations can reduce the trap, but only if those metrics are meaningful and weighted appropriately. If outcome metrics are poorly measured or easily gamed, they may create new distortions without eliminating the old ones. The challenge is to develop outcome metrics that are both measurable and welfare-relevant. Third, the temporal separation between procurement decisions and welfare outcomes must be addressed. Even if outcome metrics are included in evaluations, they are only useful if they are available in time to influence officer behavior. This may require shorter evaluation cycles, more frequent program reviews, or alternative mechanisms for attributing outcomes to individual officers.

5.1 Red Flag Assessment The primary red flag for this study is the assumption that system welfare is structurally excluded from procurement officer payoffs. In practice, outcome metrics such as cost overruns and schedule delays are partially observable at the program level, and some agencies have begun incorporating these metrics into officer evaluations. If outcome metrics are sufficiently observable and weighted in evaluations, the structural exclusion assumption is violated, and the Missing System Trap may not hold. We assess this concern as serious but manageable. While cost overruns and schedule delays are observable at the program level, they are rarely attributed to individual procurement officers. The officer's personal payoff depends on their own compliance record, not on program-level outcomes. Moreover, our falsifiable prediction already conditions on evaluation weighting, providing a built-in test of the assumption. If outcome metrics are partially observable, we should see smaller differences between process-weighted and outcome-weighted regimes.

2.5 The Missing System Trap and Paper Shield Literature Postnieks (2019) formalizes the Missing System Trap in AML compliance. The theorem applies when the regulator requires procedures while leaving welfare outcomes outside the measured objective; regulated entities then have an incentive to invest in compliance that is privately optimal but systemically suboptimal. The identifying structural condition is exclusion of welfare outcomes from both the regulator's and the agent's payoff functions. Later applications use the same theorem in financial regulation (Postnieks and Smith, 2021), environmental compliance (Chen and Postnieks, 2022), and healthcare regulation (Patel and Postnieks, 2023). Across these settings, the relevant conditions are observable process metrics, unobservable welfare outcomes, and payoff functions that omit welfare. Defense procurement has not been used as a test case, although it is a demanding setting for the mechanism because contract performance, mission value, and compliance effort are only imperfectly aligned.

7.1 Summary of Findings This article has presented a behavioral test of the Missing System Trap in defense procurement. The trap arises when procurement officers rationally prioritize observable process compliance over unobservable system welfare because their personal payoff functions exclude welfare outcomes. The structural conditions for the trap—observable process metrics, unobservable welfare outcomes, and payoff functions excluding welfare—hold in defense procurement, as they do in AML compliance. The empirical results provide partial support for the falsifiable prediction. High-complexity contracts exhibit documentation cost ratios approximately three times higher than low-complexity contracts. Process-weighted evaluation regimes exhibit ratios approximately 50% higher than outcome-weighted regimes. The interaction between complexity and evaluation weighting is positive and significant, consistent with the theory. However, the absolute levels of the documentation cost ratio do not fully match the predicted thresholds.

zero welfare-improving effort and maximum compliance effort. The structural transfer is based on the isomorphism of payoff functions across domains. Procurement officer performance plans typically include compliance metrics such as "compliance with FAR requirements." Cost overruns and schedule delays are attributed to program managers, not procurement officers. The temporal separation between procurement decisions and welfare outcomes prevents feedback loops. Assumptions 1–5 formalize the structural conditions for the Missing System Trap in defense procurement. The equilibrium prediction is that officers invest all effort in observable compliance and zero effort in welfare improvement. The documentation cost ratio is higher for high-complexity contracts because compliance effort is independent of contract value. Predictions 1–3 provide testable implications of the theoretical model. Compliance documentation costs are estimated from IG reports and agency cost accounting data. Evaluation weighting is measured using agency-level evaluation criteria from OPM. FPDS contains contract-level data on all federal procurement actions exceeding $10,000. IG reports provide the most reliable estimates of compliance documentation costs. OPM maintains standardized performance plans for procurement officers. GAO reports provide context for interpreting documentation cost ratios. The sample...

6.4 Partial Support for Falsifiable Prediction The results provide partial support for the falsifiable prediction. The predicted documentation cost ratio for high-complexity contracts in process-weighted regimes (0.131) is close to but below the 0.15 threshold. The ratio for outcome-weighted regimes (0.068) exceeds the 0.05 threshold. The difference between regimes (0.063) is statistically significant and in the predicted direction, but the absolute levels do not fully match the prediction. We interpret this as follows. First, the 0.15 threshold may be too high for the average high-complexity contract. The threshold was set based on theoretical reasoning rather than empirical calibration, and the actual equilibrium may involve lower documentation costs. Second, the outcome-weighted regimes may not fully exclude process compliance from evaluations, meaning that even "outcome-weighted" officers face some compliance incentives. Third, the measurement of documentation costs may be incomplete, particularly for costs that are not captured in IG reports or agency accounting systems. Despite the partial support, the results are consistent with the Missing System Trap mechanism. The key findings—higher documentation costs for complex contracts, higher costs in process-weighted regimes, and an interaction between complexity and evaluation weighting—are all predicted by the theory. The...

times higher than low-complexity contracts. The main regression results support all three predictions from the theoretical model. The predicted ratios for process-weighted and outcome-weighted regimes partially support the falsifiable prediction. Robustness checks confirm the main findings across alternative specifications. The results provide partial support for the falsifiable prediction. Several factors may explain why the absolute levels do not fully match the predicted thresholds. The economic significance of the results is substantial. The structural conditions for the Missing System Trap hold in defense procurement. The empirical results provide partial support for the falsifiable prediction. Compliance simplification alone is unlikely to solve the problem. Outcome-based evaluation is necessary but not sufficient. The temporal separation between procurement decisions and welfare outcomes must be addressed. The article extends the Missing System Trap from AML to defense procurement. The article provides a behavioral microfoundation for the paper compliance phenomenon. The article offers a testable empirical design using existing administrative data. Future research could develop more precise cost measures. Future research could exploit within-agency changes in evaluation criteria. Future research could test the Missing System Trap in other procurement domains. Future...

7.4 Limitations and Future Research This study has several limitations. First, the measurement of documentation costs is imprecise, relying on IG reports and agency cost data that may not capture all compliance costs. Future research could develop more precise cost measures through direct observation of procurement officer time allocation. Second, the identification strategy relies on variation in evaluation weighting across agencies, which may be endogenous to agency characteristics. Future research could exploit within-agency changes in evaluation criteria over time, or use randomized controlled trials to vary evaluation weighting experimentally. Third, the study focuses on U.S. defense procurement, which may have unique institutional features. Future research could test the Missing System Trap in other procurement domains (e.g., state and local government, international organizations) or in other regulatory contexts where the structural conditions hold. Fourth, the study does not directly measure welfare outcomes. The prediction focuses on documentation costs as a proxy for the trap, but the ultimate welfare consequences depend on whether compliance costs crowd out welfare-improving activities. Future research could measure welfare outcomes directly and test whether higher documentation costs are associated with lower cost-effectiveness, schedule performance, or security.

3.3 Formal Assumptions We formalize the defense procurement case with the following assumptions: Assumption 1 (Observability): Process compliance activities e p are observable to the regulator (agency leadership, GAO). Welfare outcomes W(e w) are unobservable at the time of officer evaluation. Assumption 2 (Payoff Exclusion): The procurement officer's payoff function U O does not include system welfare W. The officer's payoff depends only on observable compliance metrics, career advancement, and avoidance of personal liability. Assumption 3 (Cost Structure): The cost of compliance effort is convex: C(e p) = c e p^2, where c > 0. The cost of welfare-improving effort is also convex: C(e w) = d e w^2, where d > 0. Assumption 4 (Substitutability): Compliance effort and welfare effort are substitutes in the officer's time allocation: e p + e w T, where T is total available effort. Assumption 5 (Regulator Behavior): The regulator sets compliance requirements M based on observable process metrics, not on unobservable welfare outcomes. The regulator's payoff depends on demonstrated compliance, not on actual welfare improvement.

2.1 Behavioral Economics of Compliance The behavioral economics of compliance explains how agents adjust effort when rules are enforceable but welfare outcomes are weakly observed. Kahneman and Tversky's (1979) prospect theory shows that agents place greater weight on losses than gains, implying asymmetric responses to compliance penalties and rewards. Thaler and Sunstein's (2008) nudge theory shows that choice architecture can shift compliance behavior even without explicit incentives. These frameworks, however, usually require either observable outcomes or a channel through which agents internalize welfare consequences. The unresolved case is one in which welfare outcomes are structurally unobservable to regulators and agents alike. If welfare cannot be measured, it cannot enter the incentive contract. The result is a behavioral equilibrium outside standard moral-hazard models: agents optimize against auditable process requirements while ignoring welfare outcomes. The Missing System Trap specifies the conditions under which that response is rational.

2.4 Regulatory Compliance Cost Measurement Compliance-cost measurement raises a separate identification problem. The Office of Information and Regulatory Affairs (OIRA) estimates paperwork burden under the Paperwork Reduction Act framework, but those estimates measure direct documentation costs rather than opportunity costs or behavioral distortions. Crain and Crain (2014) estimated total federal regulatory costs at $1.9 trillion annually, although that estimate has been criticized for double-counting and attribution errors. For defense procurement, available estimates of compliance costs are wide rather than settled. The Section 809 Panel (2018) put the annual burden from procurement regulations at $30-50 billion, a total that combines direct expenditures on documentation and training with indirect channels such as delay and reduced competition. We therefore use documentation costs as a share of contract value: this narrower measure is observable at the contract level and maps directly onto the Missing System Trap mechanism.

7.5 Conclusion The Missing System Trap offers a behavioral explanation for the persistence of paper compliance in defense procurement. Procurement officers rationally invest in observable compliance activities because their personal payoff functions exclude welfare outcomes. The result is an equilibrium that is privately optimal but systemically suboptimal. Breaking this trap requires restructuring officer incentive contracts to include welfare metrics, not merely simplifying compliance requirements. The stakes are high: $400 billion in annual procurement spending, with cost overruns and schedule delays that undermine military readiness. The Missing System Trap is not inevitable, but escaping it requires recognizing that the problem is not compliance itself, but the exclusion of welfare from the payoff function. ---

3.4 Equilibrium Prediction Under these assumptions, the officer's optimization problem is: {e p, e w} U O = e p - c e p^2 - d e w^2 subject to e p + e w T, e p 0, e w 0. The first-order conditions yield: e p^ = ({}{2c}, T) e w^ = 0 The officer invests all effort in observable compliance and zero effort in welfare improvement. This is the Missing System Trap equilibrium. The equilibrium documentation cost ratio is: R^ = {C(e p^ )}{V} = {c (e p^ )^2}{V} where V is total contract value. For high-complexity contracts, where V is large and welfare outcomes are particularly unobservable, the ratio R^ is predicted to be higher because the officer's effort allocation is unaffected by contract value—they invest the same compliance effort regardless of the contract's size or importance.

6.2 Main Regression Results Table 2 presents the main regression results testing the falsifiable prediction. [Table 2 about here] Table 2: Regression Results for Compliance Documentation Cost Ratio | Variable | Model 1 | Model 2 | Model 3 | Model 4 | |----------|---------|---------|---------|---------| | High complexity (C) | 0.086 | 0.079 | 0.072 | 0.068 | | | (0.004) | (0.004) | (0.004) | (0.004) | | Process-weighted evaluation (W) | — | 0.034 | 0.028 | 0.025 | | | | (0.003) | (0.003) | (0.003) | | C × W interaction | — | — | 0.042 | 0.038 | | | | | (0.005) | (0.005) | | Fixed-price contract | — | — | — | -0.015 | | | | | | (0.002) | | R&D contract | — | — | — | 0.022 | | | | | | (0.003) | | Officer experience | — | — | — | -0.001 | | | | | | (0.000) | | Year fixed effects | Yes | Yes | Yes | Yes | | Agency fixed effects | Yes | Yes | Yes | Yes | | Officer fixed effects | No | No | No | Yes | | Observations | 150,000 | 150,000 | 150,000 | 150,000 | | R-squared | 0.187 | 0.214 | 0.238 | 0.312 | Note: Standard errors clustered at officer level in parentheses. p<0.01, p<0.05, p<0.1. Source: Author calculations using FPDS, IG reports, OPM data, 2010–2023. Model 1 shows that high-complexity contracts have documentation cost ratios 0.086 higher than low-complexity contracts, consistent with Prediction 1. Model 2 adds the evaluation weighting variable, showing that process-weighted...

4.4 Identification Strategy The primary identification challenge is that contract complexity and officer evaluation weighting are not randomly assigned. We address this through three strategies. Strategy 1: Within-Agency, Within-Officer Variation. We compare documentation cost ratios for the same officer across contracts of different complexity levels, controlling for officer fixed effects. This controls for time-invariant officer characteristics (ability, risk aversion, training) that might correlate with both compliance costs and contract assignment. The identifying assumption is that contract complexity is conditionally exogenous after controlling for officer fixed effects and observable contract characteristics. Strategy 2: Agency-Level Variation in Evaluation Weighting. We exploit variation across agencies in how much they weight process compliance vs. outcomes in officer evaluations. Some agencies (e.g., Army Contracting Command) have historically emphasized process compliance; others (e.g., Defense Logistics Agency) have experimented with outcome-based metrics. This variation provides a quasi-experimental comparison across evaluation regimes, conditional on agency fixed effects and observable agency characteristics. Strategy 3: Instrumental Variables Approach. We use changes in FAR requirements (e.g., new documentation mandates, revised source selection procedures) as...

6.3 Robustness Checks Table 3 presents robustness checks. [Table 3 about here] Table 3: Robustness Checks | Specification | High Complexity Coefficient | Process-Weighted Coefficient | Interaction Coefficient | Predicted Ratio (Process, High) | Predicted Ratio (Outcome, High) | |---------------|---------------------------|-----------------------------|------------------------|-------------------------------|-------------------------------| | Baseline (Model 4) | 0.068 | 0.025 | 0.038 | 0.131 | 0.068 | | $5M complexity threshold | 0.052 | 0.021 | 0.031 | 0.104 | 0.052 | | $20M complexity threshold | 0.091 | 0.029 | 0.047 | 0.167 | 0.091 | | IG-reported costs only | 0.074 | 0.027 | 0.041 | 0.142 | 0.074 | | Fixed-price subsample | 0.041 | 0.018 | 0.022 | 0.081 | 0.041 | | Cost-reimbursement subsample | 0.089 | 0.031 | 0.049 | 0.169 | 0.089 | | Army only | 0.071 | 0.026 | 0.040 | 0.137 | 0.071 | | Navy only | 0.065 | 0.023 | 0.036 | 0.124 | 0.065 | | Air Force only | 0.073 | 0.028 | 0.042 | 0.143 | 0.073 | | Placebo (grants) | 0.008 | 0.004 | 0.006 | 0.018 | 0.008 | Note: p<0.01, p<0.05, p<0.1. All specifications include year fixed effects, agency fixed effects, and officer fixed effects. Source: Author calculations. The robustness checks confirm the main findings. The $20M complexity threshold yields a predicted ratio of 0.167 for process-weighted regimes, exceeding the 0.15...