Abstract: Two methods, "Adjusted Winner (AW)" and "Proportional Allocation (PA)," are provided for the fair division of a collection of items, which could be either real goods or issues in a dispute, between two claimants (parties). The methods can be implemented as a digital computer software program. In both methods, the parties are each given 100 points and then bid on each item using their points. Under the AW method, which is applicable to indivisible items, each party is initially allocated those goods, or wins on those issues, for which it bids the higher number of points. Then the goods or issues are reassigned, or resolved differently, to achieve equality of points based on the quotients of the parties' bids. Under PA, each good or issue is divided according to a ratio based on both parties' bids for that good or issue.