Existence of positive equilibrium price vectors in indivisible goods markets: a note

Abstract This note gives a counterexample of Quinzii's [International Journal of Game Theory 13 (1984) 41 (Remark 1)] assertion for the existence of positive equilibrium price vectors in the indivisible goods markets. This note also shows the existence by strengthening one of the conditions in her assumptions; otherwise, the existence is not ensured.