The transversality condition ensures intertemporal optimality in neoclassical growth models.
The retrieved literature confirms that transversality conditions serve as key necessary or sufficient conditions to ensure intertemporal optimality in infinite-horizon neoclassical growth and optimal control models.
Papers [0], [1], and [3] explicitly demonstrate or affirm that transversality conditions are fundamental necessary or sufficient conditions for optimality in infinite-horizon economic and growth models. Paper [2] utilizes a neoclassical growth framework for optimal lockdowns, and Paper [4] explores vintage capital growth convergence, providing broader context without contradicting the claim. Therefore, the claim is supported.
S. Aseev, V. Veliov. Another view of the maximum principle for infinite-horizon optimal control problems in economics. 2019. https://doi.org/10.1070/RM9915
The paper applies the maximum principle to Ramsey's optimal economic growth model, showing how transversality conditions characterize optimality at infinity.
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A. Seierstad. A Maximum Principle for Smooth Infinite Horizon Optimal Control Problems with State Constraints and with Terminal Constraints at Infinity. 2015. https://doi.org/10.4236/OJOP.2015.43012
The paper establishes strong necessary conditions including transversality conditions at infinity for infinite-horizon optimal control problems.
Stefano Bosi, David Desmarchelier, Ngoc-Sang Pham. A note on first-order and transversality conditions in infinite-horizon continuous-time optimal control models. 2026
The paper proves that under standard assumptions, optimal paths in infinite-horizon growth and consumption-saving models are fully characterized by first-order and transversality conditions.
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