By 2040 the world is projected to face a 15 trillion dollar infrastructure gap. Infrastructure boosts economic growth, competitiveness and enhances global connectivity and trade flows: but in the long run, the widening gap may harm the global economy, reducing growth potential and increasing disparities between developed and less developed countries, between urban and rural areas. To bridge that gap, a more effective cooperation between the public and private sectors is crucial, where the former provides funds, guarantees and a pipeline of bankable projects to crowd in private capital. Which are the main forms of public-private cooperation in the transport, construction, energy, space, and digital sectors? What are the risks for private investors and how can they be mitigated? How can industrial and competition policy be reconciled?