I could use some help with this and i'm not sure where to start other than just playing with rows and columns on paper -- thought maybe someone here might have an idea.

I've been working on a board game idea recently, and i have an idea i want to play with regarding bidding.

I think the best way to describe what i want is a table of numbers, with X rows and Y columns, such that:

- No number in a cell is ever repeated
- The columns all sum to the same number (doesn't matter what that number is)

The numbers in cells should be positive, and ideally as low as possible, but that is not critical.

To help motivate what this is for, i was thinking of giving each player a set of "bidding cards", where every card is unique and therefore there can never be a tie, but where every player has the same average bidding strength. So in my table above, each column represents the bidding cards of a single player.

To make it more concrete, i'm thinking of something like 6 players (columns) and 10-15 bidding cards (rows) each.

Any thoughts?