Setting


What if you had the power to do the unthinkable... at a price?

This is a story set in modern Tokyo, where a select group of people have obtained the power of Equivalence: the power to obtain anything but with a price. These select few find themselves in the possession of a particular Tool in which the trade occurs. For example:

1) A weighing scale which offers anything but the user must pay a equivalent price in exchange.
2) A measuring scale which grants you the ability to store luck and use it whenever you want.
3) A signboard which shows you steps which can be taken for an ideal future but a certain amount of your past will be erased.

A Tool has the following definitions:

1) It must be a physical object.
2) It must grant an ability related to its use in reality.
3) It is indestructible except by means of another Tool, in which would cost the user's (the one who destroyed the other's Tool, not the owner of the destroyed Tool) very existence.

The ability that a Tool grants is called Equivalence, and has the following definitions:

1) All Equivalences must be fair. There shall only be zero-sum transfers and trades with regards to Equivalence.
2) Equivalences may affect anything in the world, physical or metaphysical. As illustrated above, Equivalence may even affect abstract things such as luck.
3) The power of Equivalence has no limit. Similarly, the price that may (knowingly or unknowingly) be paid also has no limit.
4) All Owners of Tools will have the ability to confirm his/her transfer or trade before it actually occurs.

Story


The story direction is still under consideration but generally it should be about what happens to a group of people when they are given power. The story will begin at the time where all the characters receive their Tools simultaneously.

Any ideas will be greatly appreciated.

Rules


There are none but one: abide by the definitions of Equivalence stated above. You can Godmode, OP or whatever you want, as long as a proper, well-argued loophole is pointed out.

Characters


The CS skeleton should be as follows:

Name:
Gender:
Description:
Tool:
Equivalence Ability Description: (This may be subject to changes by me if it seems unfair)
Personality:
History: (How the character lived before receiving the Tool)