| Sumario: | Allocation mechanisms considered to be monotone processes because they generate sequences of resource allocations along which the satisfaction of every agent is increasing, or at least not decreasing, were examined to determine the fundamentals of the monotone process. The model consisted of a pure exchange economy with the standard assumptions on preferences, concerned only the interior behavior of continuous monotone processes, and extensively employed an allocation inefficiency measure first introduced by Balasko (1982). The gradient of this measure was shown to define a differentiable monotone process, proving that such mechanisms exist. The measure was then shown to be a Liapounov function for monotone processes from which convergence to and stability of Pareto optima directly follow. The measure also suggests a suitable substitution of variable that facilitates the demonstration of the finite length of the exchange curves generated by monotone processes.
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