A remedial way is to use the so-called generalized expectation introduced by Peng [7, 8] instead of the linear expectation.
More generally, Lucas's work led to something called the "policy ineffectiveness proposition," the idea that if people have rational expectations, policies that try to manipulate the economy by creating false expectations may introduce more "noise" into the economy but will not improve the economy's performance.
To compute expectations, we introduce the operator widetilde{a} _{t}triangleqwidetilde{U}_{t}^{ast} ( aotimes I ) widetilde{U}_{t} and observe that (dwidetilde{a}_{t}=-z(t widetilde{a}_{t}, dt-lambda (t)^{ast },dB_{t}) where we have the complex damping (z(t)=frac{1}{2}vert lambda (t)vert ^{2}+iomega(t)).
Coquet et al. [3] proposed an axiomatic approach to nonlinear expectations and introduced the notion of filtration-consistent nonlinear expectations.
A model for privacy as expectations is introduced [28] that uses crowdsourcing to capture users' expectations of which sensitive information mobile applications utilize.
Since the notions of nonlinear evaluation (expectation) and g-evaluation (g-expectation) were introduced, many properties of the nonlinear evaluation (expectation) and g-evaluation (g-expectation) have been studied in [1, 2, 6, 10 31].
Variety, expression and development result when a composer plays with expectations and introduces ambiguity, letting the music drift to remote pitches and chords that are not part of the basic major or minor scale.
Building on rational expectations concepts introduced by the American economist John Muth, Lucas observed that people tend to anticipate the consequences of any change in fiscal policy: they "behave rationally" by adjusting their actions to take advantage of new laws or regulations, inevitably weakening or undermining them.
Starting in the EFF2011 a new question to elicit household house price expectations was introduced.
Based on the architecture of neural networks, expectations are introduced into coefficients of the model we considered.
