The following topics related to radionuclide and colloid transport in the Culebra Dolomite in the 1996 performance assessment for the Waste Isolation Pilot Plant (WIPP) are presented: (i) mathematical description of models; (ii) uncertainty and sensitivity analysis results arising from subjective (i.e. epistemic) uncertainty for individual releases; and (iii) construction of complementary cumul...

Both the boundary Harnack principle and the Carleson estimate describe the boundary behavior of positive harmonic functions vanishing on a portion of the boundary. These notions are inextricably related and have been obtained simultaneously for domains with specific geometrical conditions. The main aim of this paper is to show that the boundary Harnack principle and the Carleson estimate are eq...

Abstract. External barrier options are two-asset options with stochastic variables where the payoff depends on one underlying asset and the barrier depends on another state variable. The barrier state variable determines whether the option is knocked in or out when the value of the variable is above or below some prescribed barrier level. This paper derives the explicit analytic solution of the...

We consider N.T.U. and T.U. exchange economies in which initial endowments and preferences depend on the agents’private information. Every agent knows his own initial endowment, but his utility over consumption bundles possibly depends on the others’information (common values). We describe general allocation games in which agents make non-veri…able claims about their types and e¤ective deposits...

The agent gives an assessment by making statements about gambles f : Accepting (⊕) implies a commitment: (i) outcome ω ∈Ω is determined, (ii) he receives the payoff f (ω). Rejecting (⊖) implies that he considers accepting f unreasonable; this is relevant when combining assessments. An assessment is a pair A ∶= ⟨A⪰;A≺⟩ in A ∶= 2 × 2 of sets of acceptable respectively dispreferred gambles. Unreso...

We propose a simple mechanism that sustains full cooperation in one-shot social dilemmas among a finite number of self-interested agents. Players sequentially decide whether to contribute to a public good. They do not know their position in the sequence, but observe the actions of some predecessors. Position uncertainty provides an incentive to contribute in order to induce potential successors...

Heisenberg’s uncertainty principle tells us the fundamental limitation of observation in small scale; if the size of a object is very small, there should be an uncertainty of measurements of its exact position and momentum simultaneously. Although the physical characteristic is different, in the case of the mechanical properties of metals in small scale, ”Smaller is more uncertain” phenomena ha...

We study direct democracy with population uncertainty. Voters’ participation is often among the desiderata by the election designer. We show that with a participation quorum, i.e. a threshold on the fraction of participating voters below which the status quo is kept, the status quo may be kept in situations where the planner would prefer the reform, or the reform is passed when the planner pref...