Definition

Define indifference relation ≈i\approx_i, which expresses the fact that a player is indifferent between two possible outcomes

x≈iy⟺x≿iy and y≿ixx \approx_i y \iff x \succsim_i y \text{ and } y \succsim_i x

where ≿i\succsim_i denotes the preference relation.

References

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