most citedHartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems

2 citations

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4 papers

q-fin.GN2026★ 1 cited

FDI versus R\&D in an endogenous growth model

Thanh Tam Nguyen-Huu, Ngoc-Sang Pham

We investigate the role of foreign direct investment (FDI) and research and development (R\&D) in the transitional dynamics of host countries using an optimal growth model. FDI may…

q-fin.GN2026

The relationship between general equilibrium models with infinite-lived agents and overlapping generations models, and some applications

Ngoc-Sang Pham

We prove that a two-cycle equilibrium in a general equilibrium model with infinitely-lived agents (GEILA) constitutes an equilibrium in an overlapping generations (OLG) model. Conv…

math.FA2026★ 2 cited

Hartman-Stampacchia theorem, Gale-Nikaido-Debreu lemma, and Brouwer and Kakutani fixed-point theorems

Pascal Gourdel, Cuong Le Van, Ngoc-Sang Pham +1

This paper uses the Hartman-Stampacchia theorems as the primary tool to prove the Gale-Nikaid{ô}-Debreu lemmas. It also establishes a cycle of equivalences among the Hartman-Stamp…

math.OC2026

A note on first-order and transversality conditions in infinite-horizon continuous-time optimal control models

Stefano Bosi, David Desmarchelier, Ngoc-Sang Pham

We provide simple and easily verifiable necessary and sufficient conditions for infinite-horizon continuous-time optimal control problems. Under standard concavity and integrabilit…