Approaching consensus can be delicate when positions harden

Joel E. Cohen, John Hajnal and Charles M. Newman

Stochastic Processes and their Applications, 1986, vol. 22, issue 2, 315-322

Abstract: A model of consensus leads to examples in which the ergodic behavior of a nonstationary product of random nonnegative matrices depends discontinuously on a continuous parameter. In these examples, a product of random matrices, each of which is a scrambling stochastic matrix, changes from being weakly ergodic (asymptotically of rank 1) with probability 1 to being weakly ergodic with probability 0 as a parameter of the process changes smoothly.

Keywords: products; of; random; nonnegative; matrices; ergodicity; inhomogeneous; products; zeta; function; strong; limit; laws; zero-one; laws (search for similar items in EconPapers)
Date: 1986
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Citations: View citations in EconPapers (6)

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