This paper examines the monotonicity and the convergence of the statio
nary sub-game perfect equilibria (SPEs) of the alternating offer barga
ining processes with time-varying Pareto frontiers. In most real-world
negotiations, the pay-off functions to all the parties involved are n
ot fixed. For example, the negotiation for how to protect intellectual
property rights between the US and China were affected by the domesti
c economic situation in the US and also the political situation in Chi
na, Such dynamic behavior makes it very difficult to apply a static mo
del to find solution. In this paper, we first introduce a general mode
l to model negotiations with time-varying Pareto frontiers. Then we pr
ovide four special cases about how Pareto frontiers change with time t
o discuss how to use our model to design negotiation strategy, We, par
ticularly focus on the monotonicity and convergence of the dynamic SPE
s of the alternating offer bargaining process. (C) 1998 Elsevier Scien
ce Inc. All rights reserved.