Indifference relation

Definition

Define indifference relation $\approx_i$, which expresses the fact that a player is indifferent between two possible outcomes $$x \approx_i y \iff x \succsim_i y \text{ and } y \succsim_i x$$ where $\succsim_i$ denotes the preference relation.

References

1. M. Maschler, E. Solan, and Shmuel Zamir, Game Theory, Cambridge University Press, 2013, p. 10.