Insurance and self-protection for increased risk aversion

We re-examine the classic problem of risk aversion and self-protection in this paper. In the beginning of this paper, we conduct comparative statics of risk aversion and prevention efforts based on the mono-periodic two states model of choice under risk. We show this new condition is effective with self-insurance-cum-protection model (Lee, 1998), in which the decision maker\u27s activities to prevent the risk can sever both as self-insurance and self-protection. We suggest a new condition that increased risk aversion induces more prevention activities. This new condition requires only one assumption concerning fear of ruin coefficient, marginal effect of SICP activity on probability and marginal cost of SICP activity. By applying interval dominance order (Quah and Strulovici,2009), we find that a decision maker will exert higher level of SICP activity if he becomes more risk averse, under the condition that his hazard rate is higher than the \u27boldness\u27 coefficient (Aumann and Kurz,1977). This new condition is effective even when the optimal level for SICP activity is not interior solution. With our method, the assumption, that optimal solution is interior, is not necessary and marginal utility functions do not need to be monotonic on the interval [0, w0]. Based on this, the optimal solution can be corner solution or inflection point solution. And the DM\u27s attitude towards risk can be variable. Hence, the relation suggested by our findings is more consistent with real world situations

Modelling Rod-like Flexible Biological Tissues for Medical Training

This paper outlines a framework for the modelling of slender rod-like biological tissue structures in both global and local scales. Volumetric discretization of a rod-like structure is expensive in computation and therefore is not ideal for applications where real-time performance is essential. In our approach, the Cosserat rod model is introduced to capture the global shape changes, which models the structure as a one-dimensional entity, while the local deformation is handled separately. In this way a good balance in accuracy and efficiency is achieved. These advantages make our method appropriate for the modelling of soft tissues for medical training applications

Exploring a ΣcDˉ\Sigma_{c}\bar{D} state: with focus on Pc(4312)+P_{c}(4312)^{+}

Stimulated by the new discovery of $P_{c}(4312)^{+}$ by LHCb Collaboration, we endeavor to perform the study of $P_{c}(4312)^{+}$ as a $\Sigma_{c}\bar{D}$ state in the framework of QCD sum rules. Taking into account the results from two sum rules, a conservative mass range 4.07\sim4.97~\mbox{GeV} is presented for the $\Sigma_{c}\bar{D}$ hadronic system, which agrees with the experimental data of $P_{c}(4312)^{+}$ and could support its interpretation as a $\Sigma_{c}\bar{D}$ state.Comment: 9 pages, 6 figures. arXiv admin note: text overlap with arXiv:1801.0872