Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents

Nikhil R. Devanur, Ravi Kannan
2008 2008 49th Annual IEEE Symposium on Foundations of Computer Science  
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an initial bundle. At an "equilibrium" set of prices for goods, if each individual buyer separately exchanges the initial bundle for an optimal bundle at the set prices, the market clears, i.e., all goods are exactly consumed. Classical theorems guarantee the existence of equi-* Part of the work done while the author was
more » ... ing Microsoft Research, India. agents both can vary, the problem is PPAD hard even for the very special case of PLC utilities -namely Leontief utilities [8] .
doi:10.1109/focs.2008.30 dblp:conf/focs/DevanurK08 fatcat:er6ei5fxxbcdfonwrz7laqqn3q