An offering to a deity

offering, tribute, oblation, expiation, atonement, reparation, penance, propitiation, libation, sacrificial lamb, burnt offering.

A loss

discount, deduction, reduction; see loss 1.

In baseball, a play that advances a runner at the expense of the batter

fielder's choice, sacrifice fly, bunt, noble deed*.

To offer to a deity

consecrate, immolate, dedicate, give up, devote, offer up, hallow, worship, make an offering of; see also bless 3.

To give up as a means to an end

forfeit, forgo, relinquish, yield, suffer the loss of, permit injury to, renounce, spare, give up, let go, resign oneself to, endure the loss of, sacrifice oneself, abandon oneself to, surrender, part with, waive, go astray from.

To sell at a loss

cut, reduce, sell out, sell at a bargain, have a fire sale, mark down, take shrinkage, take a beating, incur a loss, sell for a song*; see also decrease 2, lose 2.