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

2 citations

6 papers

econ.TH2026

Globalization, economic growth, and innovation: A two-country two-period model

Cuong Le Van, Duc V. Le, Thanh Tam Nguyen-Huu

This paper examines how a developing country can benefit from trade liberalization. We develop a two-period model, comprising an autarky phase and a globalization phase, and a two-…

q-fin.GN20261 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.FA20262 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…

eess.SY2026

New Formulations and Discretization Insights for the Electric Autonomous Dial-a-Ride Problem

Boshuai Zhao, Adam Abdin, Jakob Puchinger

The Electric Autonomous Dial-a-Ride Problem (E-ADARP) involves routing and scheduling electric autonomous vehicles under battery capacity and partial recharging constraints, aiming…

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…