Published in:
We extend the stable flow model of Fleiner to multicommodity flows. In addition to the preference lists of agents on trading partners for each commodity, every trading pair has a preference list on the commodities that the seller can sell to the buyer. A blocking path (with respect to a certain commodity) may include saturated arcs, provided that a positive amount of less preferred commodity is traded on the arc. We prove that a stable multicommodity flow always exists, although it is PPAD-hard to find one.
Bibtex entry:
AUTHOR | = | {Kir{\'a}ly, Tam{\'a}s and Pap, J{\'u}lia}, |
TITLE | = | {Stable multicommodity flows}, |
NOTE | = | {{\tt egres.elte.hu}}, |
INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
YEAR | = | {2012}, |
NUMBER | = | {TR-2012-13} |