The possible rewards have a linear relationship to the investments, that is, if the investment
is double, the comparable reward is doubled.

Arithmetic Rewards for Investments are those rewards in game that are
directly proportional with the resources used to gain them. As long as requirements of minimum and maximum investments
are met,
Arithmetic Rewards for Investments allow players to split resources into several smaller investments rather
than one large investment with no other penalty than maybe not receiving all rewards at the same time.

Example: the unit construction
in strategy games is often based on
Arithmetic Rewards for Investments. If it costs 100 production points to construct a
tank, it costs 200 points to construct two tanks, 300 points to construct three tanks, and so on.

When implementing
Arithmetic Rewards for Investments the costs involved have to be balanced compared to other possible
Investments in the
game. It is also possible to artificially limit the maximum possible amount used in single
Investments or require minimum
amounts to be invested to modulate the
Risk/Reward choices that have to be made. Another way of modulating the
Risk/Reward
choices is to not make several identical
Investments using arithmetic reward schemes possible at the same time by imposing
Time Limits between such
Investments.