A Representation for Many Player Generalized Divide the Dollar Games

Divide the dollar is a simplified version of two player bargaining problem game devised by John Nash. The generalized divide has n>2 players. Evolutionary algorithms can be used to evolve individual players for this but representation—i.e., genome plus move or search operator(s)—must carefully chosen since it affects process. This paper proposes an entirely new representation called demand matrix. Each in evolving population now represents collection n rather than just player. Players use previous outcomes decide their choices (bids) current round. scales linearly with number and operator variant evolution strategy. results indicate that proposed permits efficient large populations high payoffs fair sets.