Bilateral comparisons and consistend fair division rules in the context of bankruptcy problems

The authors analyze the problem of extending a given bilateral principle of justice to a consistent n-creditor bankruptcy rule. Based on the bilateral principle, they build a family of binary relations on the set of creditors in order to make bilateral comparisons between them. The authors find that the possibility of extending a specific bilateral principle of justice in a consistent way is closely related to the quasi-transitivity of the binary relations mentioned above.