An Assignment Model with Divorce and Remarriage

We develop a two-sided matching model with positive sorting, divorce and remarriage. Match quality for each couple is revealed ex post and those with poor draws divorce. Competition determines lifetime expected utilities but per-period utilities depend on the laws that govern the distribution of assets upon divorce. We discuss separately cases in which remarriage is or is not feasible and cases in which commitments are or are not made. In all cases, lifetime utilities are exactly pinned down by equilibrium (stability) requirements. Moreover, ex-post Nash bargaining and ex-ante commitment yield the same non-contingent intertemporal allocations. We then analyze the impact of changes in the property division upon divorce, considering for instance a reform that favors women. The short-term impact of the reform on the allocations of already married wives is positive. However, its long-term impact on yet unmarried women is not because such a reform generates lower utility for women within marriage which exactly offsets their higher prospective divorce settlement. When remarriage is possible, more complex effects could occur: the reform typically alters divorce probabilities and it may affect the total surplus generated by marriage, thus either increasing both spouses' welfare or decreasing both.matching, intra-household allocations, Becker-Coase theorem

Investment in Schooling and the Marriage Market

We produce a model with pre-marital schooling investment, endogenuos marital matching and spousal specialization in homework and market production Pre-marital investments generate two kinds of returns: a labor-market return due to the education premium and a marriage-market return because education can improve the intra-marital share of the surplus one can extract from marriage. When the returns to education are gender neutral, men and women educate in equal proportions and there is pure positive assortative matching in the marriage markets. But if the returns are not gender neutral, then there is mixing in equilibrium where some educated individuals marry uneducated spouses and those who educate less because their labor-market return is lower extract a relatively larger share of the marital surplus. Conditional on the choice of schooling, couples’ career decisions affect the size of their marital surplus, but the existence of large and frictionless marriage markets can still produce efficient household specialization where the higher-wage spouse specializes in market production and the lower-wage spouse engages in homework. Even when cultural and social norms or the time requirements of homework dictate that wives devote relatively more time to homework, women can acquire more schooling than men if a gender wage gap exists but narrows with the level of education.

Are Intra-Household Allocations Policy Neutral? Theory and Empirical Evidence

We develop a collective household model with spousal matching in which there exists marital gains to assortative matching and marriage quality for each couple is revealed ex post. Changes in alimony laws are shown to affect existing couples and couples-to-be differently. For existing couples, legislative changes that favor (wo)men benefit them especially if the marriage match quality is low, while, for couples not yet formed, they generate offsetting intra-household transfers and lower intra-marital allocations for the spouses who are the intended beneficiary. We then estimate the effect of granting alimony rights to cohabiting couples in Canada using a triple-difference framework since each province extended these rights in different years and requiring different cohabitation length. We find that obtaining the right to petition for alimony led women to lower their labor force participation. These results, however, do not hold – and, in some cases, are reversed – for newly formed cohabiting couples.intra-household allocations, matching, cohabitation, alimony laws

Weak-strong uniqueness of solutions to entropy-dissipating reaction-diffusion equations

We establish a weak-strong uniqueness principle for solutions to entropy-dissipating reaction-diffusion equations: As long as a strong solution to the reaction-diffusion equation exists, any weak solution and even any renormalized solution must coincide with this strong solution. Our assumptions on the reaction rates are just the entropy condition and local Lipschitz continuity; in particular, we do not impose any growth restrictions on the reaction rates. Therefore, our result applies to any single reversible reaction with mass-action kinetics as well as to systems of reversible reactions with mass-action kinetics satisfying the detailed balance condition. Renormalized solutions are known to exist globally in time for reaction-diffusion equations with entropy-dissipating reaction rates; in contrast, the global-in-time existence of weak solutions is in general still an open problem - even for smooth data - , thereby motivating the study of renormalized solutions. The key ingredient of our result is a careful adjustment of the usual relative entropy functional, whose evolution cannot be controlled properly for weak solutions or renormalized solutions.Comment: 32 page

Assessment of targeted non-intentionally added substances in cosmetics in contact with plastic packagings. Analytical and toxicological aspects

International audienceContainer-content interactions are common in the food and pharmaceutical industries. However, these studies are more complicated in the cosmetic industry, and it is necessary to ensure consumer safety. The objective of this work was to develop a strategy for the toxicological evaluation of leachables for cosmetic packagings. Eleven common plastic packagings were selected to evaluate interactions with 5 simulants (acidic, alkaline and neutral water, 30% and 96% ethanol) chosen to mimic cosmetics behavior. A GC-MS method was developed to screen for 12 non-intentionally added substances of particular concern: 10 phthalates, bisphenol A and distearyl thiodipropionate (European Pharmacopoeia plastic additive 17). Results were analyzed using a toxicological procedure established for this study. Some phthalates and bisphenol A were detected in several samples, but only one contaminant, diisobutyl phthalate (DiBP), was found to be above the set concentration threshold. Using toxicological data, this concentration was found to be safe for users. 96% ethanol appeared to be the strongest simulant in term of extraction, with a maximum concentration of 491 μg/L for DiBP in a 100% styrene-acrylonitrile copolymer packaging. In water simulants, less contaminants were extracted, with concentrations under 20 μg/L

An Epigenetics-Inspired DNA-Based Data Storage System.

Biopolymers are an attractive alternative to store and circulate information. DNA, for example, combines remarkable longevity with high data storage densities and has been demonstrated as a means for preserving digital information. Inspired by the dynamic, biological regulation of (epi)genetic information, we herein present how binary data can undergo controlled changes when encoded in synthetic DNA strands. By exploiting differential kinetics of hydrolytic deamination reactions of cytosine and its naturally occurring derivatives, we demonstrate how multiple layers of information can be stored in a single DNA template. Moreover, we show that controlled redox reactions allow for interconversion of these DNA-encoded layers of information. Overall, such interlacing of multiple messages on synthetic DNA libraries showcases the potential of chemical reactions to manipulate digital information on (bio)polymers.C.M. is grateful for the financial support by the Swiss National Science Foundation (grant number P2EZP2_152216). G.R.M. was supported by funding from Trinity College, Cambridge, the Herchel Smith fund and the Wellcome Trust. P.M. was funded by the Wellcome Trust and is currently supported by an ERC Advanced grant. P.V.D was funded by the Wellcome Trust and a Marie Curie Fellow of the European Union (grant number FP7-PEOPLE-2013-IEF/624885). The S.B. lab is supported by a program grant and core funding from Cancer Research UK (C9681/A18618), an ERC Advanced grant (339778) and by a Senior Investigator Award of the Wellcome Trust (099232/Z/12/Z). We thank Eun-Ang Raiber and Dario Beraldi for stimulating discussions and proofreading the manuscript.This is the final version of the article. It first appeared from Wiley at http://dx.doi.org/10.1002/anie.201605531

Insights into the mechanism of a G-quadruplex-unwinding DEAH-box helicase.

The unwinding of nucleic acid secondary structures within cells is crucial to maintain genomic integrity and prevent abortive transcription and translation initiation. DHX36, also known as RHAU or G4R1, is a DEAH-box ATP-dependent helicase highly specific for DNA and RNA G-quadruplexes (G4s). A fundamental mechanistic understanding of the interaction between helicases and their G4 substrates is important to elucidate G4 biology and pave the way toward G4-targeted therapies. Here we analyze how the thermodynamic stability of G4 substrates affects binding and unwinding by DHX36. We modulated the stability of the G4 substrates by varying the sequence and the number of G-tetrads and by using small, G4-stabilizing molecules. We found an inverse correlation between the thermodynamic stability of the G4 substrates and rates of unwinding by DHX36. In stark contrast, the ATPase activity of the helicase was largely independent of substrate stability pointing toward a decoupling mechanism akin to what has been observed for many double-stranded DEAD-box RNA helicases. Our study provides the first evidence that DHX36 uses a local, non-processive mechanism to unwind G4 substrates, reminiscent of that of eukaryotic initiation factor 4A (eIF4A) on double-stranded substrates.Cancer Research UK and ERC (Balasubramanian group); Cambridge Trust studentship (to M.C.C.); Intramural Program of the National Heart, Lung and Blood Institute, NIH; ALS on the Berkeley Center for Structural Biology beamlines, US National Institutes of Health (NIH); NIH Oxford Cambridge Scholars Program [to M.C.C.]. Funding for open access charge: University of Cambridge.This is the final published version. The article was originally published in Nucleic Acids Research, 2015, Vol. 43, No. 4 2223–2231, doi: 10.1093/nar/gkv051