In this article, we give an estimate of the zero-free region around the origin of the ambiguity function of a one-dimensional signal u in terms of the moments of u. This is done by proving an uncertainty relation between the first zero of the Fourier transform of a non-negative function and the moments of the function. As a corollary, we also give an estimate of how much a function needs to be ...

The robustness of the Bayes–Nash equilibrium prediction for seller revenue in auctions is investigated. In a framework of interdependent valuations generated from independent signals, seller expected revenue may fall well below the equilibrium prediction, even though the individual payoff consequences of suboptimal bidding may be small for each individual bidder. This possibility would be relev...

Subjective uncertainty is characterized by ambiguity if the decision maker has an imprecise knowledge of the probabilities of payo€ relevant events. In such an instance, the decision maker's beliefs are better represented by a set of probability functions than by a unique probability function. An ambiguity averse decision maker adjusts his choice on the side of caution in response to his imprec...

We report on an experiment in which subjects choose actions in strategic games with either strategic complements or substitutes against a granny, a game theorist or other subjects. The games are selected in order to test predictions on the comparative statics of equilibrium with respect to changes in strategic ambiguity. We find that subjects face higher ambiguity while playing against the gran...

We develop a theory for waveform-diverse moving-target synthetic-aperture radar in the case in which a single moving antenna is used both on transmission and on reception. We assume that the targets (scattering objects) are moving linearly, but we allow an arbitrary, known flight path for the antenna and allow it to transmit a sequence of arbitrary, known waveforms. A formula for phasespace (po...

An “investment bubble” is a period of “excessive, and predictably unprofitable, investment”(DeMarzo, Kaniel and Kremer, 2007, p.737). Such bubbles most often accompany the arrival of some new technology, such as the tech stock boom and bust of the late 1990’s and early 2000’s. We provide a rational explanation for investment bubbles based on the dynamics of learning in highly uncertain environm...

We test the implications of ambiguity aversion in a principal-agent problem with multiple agents. When output distributions are uncertain, models of ambiguity aversion suggest that tournaments may become more attractive than independent wage contracts, in contrast to the case where output distributions are known. We do so by presenting agents with a choice between tournaments and independent co...

In this article, we give an estimate of the zero-free region around the origin of the ambiguity function of a signal u in terms of the moments of u. This is done by proving an uncertainty relation between the first zero of the Fourier transform of a non-negative function and the moments of the function. As a corollary, we also give an estimate of how much a function needs to be translated to ob...

One of the important obstacles in MIMO (Multiple Input Multiple Output) radars is the issue of designing proper transmit signals. Indeed, the capability of signal design is a significant advantage in MIMO radars, through which, the system can achieve much better performance. Many different aspects of this performance improvement have been considered yet, and the transmit signals have been desig...