Suppose that the proposer in the ultimatum game may not propose fractional amounts, and therefore must propose $0, $1, $2, …,, or $10 (see figure below). As always, the responder must Accept (A) or Reject (R).

 

|| $0 $1 $2 $3 A ($6,$4) $4/ $5 R ($0,$0) $6 $7 $8 $9 $10