1981
DOI: 10.1007/978-94-009-8520-9
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Rational Consensus in Science and Society

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Cited by 387 publications
(111 citation statements)
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“…The model was first developed as a descriptive mathematical model of group power relations in French (1956) and as a general model of consensus formation in DeGroot (1974). While DeGroot intended his model to be normative, his research focused on the fundamental mathematical properties of the model, leaving the interpretation, further elaboration, and philosophical justification to Lehrer and Wagner (1981).…”
Section: Models Of Rational Consensusmentioning
confidence: 99%
See 1 more Smart Citation
“…The model was first developed as a descriptive mathematical model of group power relations in French (1956) and as a general model of consensus formation in DeGroot (1974). While DeGroot intended his model to be normative, his research focused on the fundamental mathematical properties of the model, leaving the interpretation, further elaboration, and philosophical justification to Lehrer and Wagner (1981).…”
Section: Models Of Rational Consensusmentioning
confidence: 99%
“…Clearly, this mechanism makes the Lehrer-Wagner model a paradigmatic representative of gradual opinion convergence through mutual respect: it is a function of original estimates and respect assignments, and it is gradual in the sense that, in most cases, a single application of the aggregation procedure is not sufficient to ensure convergence. Lehrer and Wagner (1981) show that under very weak constraints, the sequence ðW k Þ k2N converges to a matrix W 1 where all rows are identical, that is, where all agents agree on their relative weights (see also Jackson and Golub 2007). In other words, the agents do not only achieve consensus on the issue under consideration (i.e., all entries of W 1 v are equal), but they also agree on the effective relative weight of each group member, that is, each other's expertise.…”
Section: Models Of Rational Consensusmentioning
confidence: 99%
“…16 In a strategic context there are clear relations to the concept of theory absorption as in Morgenstern (1972), Morgenstern and Schwödiauer (1976), Dacey (1976) on the one hand and to the dynamics of rational deliberation as in Skyrms (1990) on the other. In a non-strategic context implied consent models may be relevantly related to Lehrer and Wagner (1981). We are, however, interested in kinds of deliberation that are close to actual boundedly rational processes of deliberation as originally in Rawls (1951).…”
Section: The Search For An Equilibrium In Scientific Methodologymentioning
confidence: 99%
“…Other axiomatic characterizations of linear pooling are given by Mongin (1995) and Chambers (2007). See also Lehrer and Wagner (1981), who use linear opinion pooling to build a theory of consensus formation in groups. might wish to give each individual a greater weight in determining the collective probability for events within his or her area of expertise than for events outside that area.…”
Section: Linear Pooling: the Eventwise Independent Approachmentioning
confidence: 99%