viewof aD = Inputs.range([6, 14], {value: 10.0, step: 0.5, label: katexLabel("a", " (demand intercept)")})
viewof bD = Inputs.range([0.5, 1.5], {value: 1.0, step: 0.1, label: katexLabel("b", " (demand slope)")})
viewof cD = Inputs.range([0.5, 3.0], {value: 2.0, step: 0.1, label: katexLabel("c", " (production MC)")})
viewof tauD = Inputs.range([0, 4], {value: 1.0, step: 0.1, label: katexLabel("\\tau", " (trade cost per unit)")})
viewof deltaTauD = Inputs.range([0, 3], {value: 1.0, step: 0.1, label: katexLabel("\\Delta\\tau", " (tariff increase)")})
viewof FplantD = Inputs.range([0, 12], {value: 4.0, step: 0.5, label: katexLabel("F_{\\text{plant}}", " (FDI fixed-cost premium)")})Main take-aways
- Multinational firms cross borders as producers, not just exporters. Distinguish horizontal FDI (replicate the plant in a foreign market) from vertical FDI (fragment the chain across borders).
- Concentration-proximity trade-off. Exporting pays a per-unit trade cost \(\tau\); FDI skips \(\tau\) but pays a fixed plant cost \(F_{\text{plant}}\). FDI wins when the variable-profit gap \(\pi^{\text{var}}_{\text{FDI}} - \pi^{\text{var}}_{\text{export}}\) exceeds \(F_{\text{plant}}\).
- Tariffs are an asymmetric shock. They raise \(\mathrm{MC}_{\text{export}}\) only — \(\mathrm{MC}_{\text{FDI}}\) is unchanged. A large enough \(\Delta\tau\) flips the regime to tariff-jumping FDI (1981 VRA, Honda/Nissan/Toyota in the US).
- Vertical FDI follows cost-coordination logic. Offshore stage \(j\) when factor-cost saving \(\Delta(j)\) exceeds coordination friction \(\tau_{\text{coord}}\). Labor-intensive stages go first; falling \(\tau_{\text{coord}}\) explains the great unbundling since the 1970s.
- Outsourcing vs. in-house is about transaction costs. Hold-up risk, asset specificity, and incomplete contracts push relationship-specific stages inside the firm.
Multinationals make a location choice (where to put each stage) and an organisational choice (in-house vs. arm’s length). Both choices respond to the primitives — factor prices, \(\tau\), \(F_{\text{plant}}\), contracts.