A Note on Quadratic Funding under Constrained Matching Funds

Abstract

In this note I show that quadratic funding achieves decentralized social efficiency in the extent there are enough (donor) matching funds to cover the quadratic funding objective. If individual backers internalize that matching funds will not be sufficient to reach the quadratic level, allocation will be biased towards the capitalist allocation, the more so, the less matching funds are available. This result emerges even when individual contributors are not required to finance the deficit (i.e., the difference between total contributions and available matching funds). I also show properties of the level of required matching fund, in order to better understand under which conditions social efficiency will most likely be compromised.