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This paper studies a complete-information bargaining game with one buyer and multiple sellers of different "sizes" or bargaining strengths. The bargaining order is determined by the buyer. If the bargaining has a finite horizon, there is a unique subgame perfect equilibrium outcome in which the buyer purchases in order of increasing size -from the smallest to the largest. With an infinite horizon, there is a unique equilibrium outcome with the same bargaining order if the sellers are ofdoi:10.2139/ssrn.2578163 fatcat:r6k3rsjjvbcl3pkytcc47ke4bi