This paper analyzes an overlapping generation (OLG) growth model wherein saving finances second period consumption and bequest-as-consumption. First, it looks at the market equilibrium and at the optimal solution; then it turns to the issue of decentralizing the optimal solution with various taxes and transfers. Depending on the available instruments, either a first-best or a second-best optimum can be achieved. Throughout the paper, the results are contrasted with those obtained in the standard OLG model without intergenerational transfers.
Michel, P., & Pestieau, P. (2004). Fiscal Policy in an Overlapping Generations Model with Bequest-as-Consumption. Journal of Public Economic Theory, 6(3), 397-407. https://doi.org/10.1111/j.1467-9779.2004.00171.x (Original work published 2004)