Asymmetric Nash bargaining solutions and competitive payoffs

•We link asymmetric Nash bargaining and competitive behavior in markets.•Every bargaining game is a market game.•Asymmetric Nash bargaining solutions correspond to competitive equilibrium payoffs.•The bargaining weights are reflected in the market through the equilibrium prices.

We establish a link between cooperative and competitive behavior. For every possible vector of weights of an asymmetric Nash bargaining solution there exists a market that has this asymmetric Nash bargaining solution as its unique competitive payoff vector.