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Uneasy Compromise: Why Apportionment Stability Hinged on Absent States
Insights from the Field
Coalitional Stability
Three-Fifths Clause
Great Compromise
Continental Congress States
Voting Share Simulation
American Politics
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Coalitional Instability and the Three-Fifths Compromise was authored by Keith Dougherty and Gordon Ballingrud. It was published by Wiley in AJPS in 2018.

This article examines whether U.S. legislative apportionment rules from the Constitutional Convention were unavoidable.

🔍 Data & Methods

We simulated voting preferences based on historical vote shares across states to analyze their relative stability under various constitutional rules.

⚖️ Key Findings

The outcome depended critically on state participation:

* With 13 states (excluding RI/NH), equal apportionment was stable.

* As these two states dropped out later, all rules became top cycle again.

* The emergence of the Three-Fifths Compromise in a stable equilibrium occurred only after New York departed from earlier stages.

📜 Historical Context

The analysis demonstrates how different state compositions influenced which apportionment rule gained traction during debates.

🌐 Why This Matters

The findings suggest that political outcomes are shaped significantly by historical circumstances and participant withdrawals, challenging the notion of inherent necessity.

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American Journal of Political Science
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