# Incentive

In combinatorial game theory, the incentive of a move measures how much the player making it gains by it. It is thus the difference game in favour of that player between the abstract game in which the move is made and the option to which they move. The sets of all incentives for either player are called the Left and Right incentives of the game.

Formally, given a game G = { G^L | G^R } the incentive of the move to a particular {:G^L:}_i or {:G^R:}_j is {:G^L:}_i - G or G - {:G^R:}_l respectively, and the Left and Right incentives of G are the sets G^L - G and G - G^R respectively.[1]

[1] On Numbers and Games (2""^"nd" edition 2001) page 207. Winning Ways (2""^"nd" edition 2000/2001) page 148.