We introduce a general framework for flow problems over hypergraphs. In our problem
formulation, which we call the convex flow problem, we have a concave utility function for the …

In this paper, we derive a number of interesting properties and extensions of the convex flow
problem from the perspective of convex geometry. We show that the sets of allowable flows …

Automated Market Makers and the Value of Adaptive Fees Page 1 Automated Market Makers
and the Value of Adaptive Fees David Cao, Brett Hemenway Falk, Gerry Tsoukalas∗ October …

Designing automated market makers (AMMs) for prediction markets on combinatorial
securities over large outcome spaces poses significant computational challenges. Prior …

In decentralized finance, it is common for automated market makers to provision liquidity
from external parties. The market maker rewards these liquidity providers with a cut of the …

Blockchain technology has enabled intermediary-free exchanges in which trades are
facilitated by automated market-making (AMM) algorithms. This paper shows that: 1) existing …