Full Idea
Infinitism can solve the regress problem, because it endorses a warrant-emergent form of reasoning in which warrant increases as the series of reasons lengthens. The theory can avoid both circularity and arbitrariness.
Clarification
A 'warrant' is an entitlement to believe something
Gist of Idea
Infinitism avoids a regress, circularity or arbitrariness, by saying warrant just increases
Source
Peter Klein (Infinitism solution to regress problem [2005], 'Step 2')
Book Reference
'Contemporary Debates in Epistemology', ed/tr. Steup,M/Sosa,E [Blackwell 2005], p.136
A Reaction
It nicely avoids arbitrariness by offering a reason for absolutely every belief. I think the way to go may to combine individual Infinitism with a social account of where to set the bar of acceptable justification.