Co. Alexander et W. Ledermann, ARE NASH BARGAINING-WAGE-AGREEMENTS UNIQUE - AN INVESTIGATION INTO BARGAINING SETS FOR FIRM-UNION NEGOTIATIONS, Oxford Economic Papers, 48(2), 1996, pp. 242-253
The shapes of the bargaining sets for firm-union negotiations are rigo
rously analyzed in two cases, according to whether bargaining is over
wages alone (with employment set according to the labour demand schedu
le) or over both wages and employment. When bargaining concerns wages
only the bargaining set becomes a one-dimensional curve, and so the st
andard theory of the Nash bargaining solution does not apply. Therefor
e existence and uniqueness conditions are proved directly. The Kalai-S
morodinsky solution is also analysed, and results are illustrated usin
g a constant elasticity example.