Methods and systems for supporting asset exchange

A method of supporting asset exchanges between parties of an auction including sellers and bidders, the method comprising:

• translating representations of sellers' auction assets into vertices of a directed graph and representations of sellers' auction desires into edges of the directed graph;
• transforming representations of bidders' auction bids into representations of bidders' bidding assets and representations of bidders' bid-on auction assets;
• translating the representations of bidders' bidding assets into vertices of the directed graph and the representations of bidders' bid-on auction assets into edges of the directed graph;
• determining cycles in the directed graph, a cycle being a path starting at a given vertex and ending at the given vertex, the path including multiple edges and at least one intermediate vertex;
• transforming the cycles into offers between the parties;
• and
• performing an action based on the offers,
• wherein at least one of the translating, transforming and determining is performed by at least one processor and the performing an action is optionally performed by the at least one processor.