This paper shows that in a multilateral bargaining setting where the sellers compete a la Bertrand, a range of prices that includes the monopoly price and 0 are compatible with equilibrium, even in the limit where the reputational concerns and frictions vanish. In particular, the incentive of committing to a specific demand, the opportunity of building reputation about inflexibility, and the anxiety of preserving their reputation can tilt players' bargaining power in such a way that being deemed as a tough bargainer is bad for the competing players, and thus, price undercutting is not optimal for the sellers.
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