Productivity insurance: The role of unemployment benefits in a multi-sector model

We construct a multi-sector search and matching model where the unemployed receives idiosyncratic productivity shocks that make working in certain sectors more productive than in the others. Agents must decide which sector to search in and face moving costs when leaving their current sector for another. In this environment, unemployment is associated with an additional risk: low future wages if mobility costs preclude search in the appropriate sector. This introduces a new role for unemployment benefits - productivity insurance while unemployed. For plausible parameterizations unemployment benefits increase per-worker productivity. In addition, the welfare-maximizing benefit level decreases as moving costs increase.