This paper is about allocation of an infinitely divisible good to several rational and strategic agents. The allocation is done by a social planner who has limited information because the agents’ valuation functions are taken to be private information known only to the respective agents. We allow only a scalar signal, called a bid, from each agent to the social planner. Yang and Hajek [25] as w...

INTRODUCTION In virally induced cancers, nuclear factor jB (NF-jB) transcription factors that promote neoplastic transformation are aberrantly activated, and antiviral innate and adaptive immune responses often are deregulated. However, to our knowledge, the nature and role of the genetic changes required for sustained infection and transformation and their clinical consequences are less clear....

This course is about the way microscopic laws governing behaviour of individual elements of the system can give rise to macroscopic behaviour in the system. One example of this is the physics of gases: the air in this room is made up of molecules, and you can think of it in terms of molecular movement; however, you can also think about it in terms of Boyle’s Law (relating pressure and volume of...

The logic MTL, Monoidal t-norm based logic was presented by F. Estva and L. Godo and discuss several properties of MTL-algebra in [6] The Boolean logic (BL) was introduced by P. Hajek and discuss the properties in [1].The fuzzy reasoning and implication operators was discussed by Ying in ([2],[3]). A proper logical system for fuzzy propositional calculus and a innovative arithmetical configurat...

This paper studies the notion of “depth” of a combinatorial optimization problem, which has already been touched on by several other authors (cf. Weber or Hajek). This notion can be defined as follows: Consider a discrete optimization problem min{r(.u) 1 x E x). Usually hill climbing algorithms work as follows: First, a neighbourhood structure has to be specified on X. Then, starting from an ar...

Drift analysis is a powerful tool used to bound the optimization time of evolutionary algorithms (EAs). Various previous works apply a drift theorem going back to Hajek in order to show exponential lower bounds on the optimization time of EAs. However, this drift theorem is tedious to read and to apply since it requires two bounds on the moment-generating (exponential) function of the drift. A ...

The fact that plant-trait and functionaltrait syndromes can describe plant growth strategies, and as a result their ecological requirements, has gained considerable importance in ecology (Grime et al., 1997; Westoby et al., 2002). At the global scale, the existence of a major axis of specialization among plants has been determined by measuring leaf functional traits; this axis highlights a fund...

t i e B ipolar disorder (BD) is a chronic psychiatric disorder with high morbidity and mortality, deserving of efforts to understand who are at highest risk for developing this disorder. So far, he most reliable risk factor is a family history of BD. Twin and family tudies have reported a 59 – 87% heritability of BD suggesting that rst-degree relatives of probands with BD are at particularly hi...

Uncertainty processing methods are analysed from the viewpoint of their sensitivity to small variations of certainty factors. The analysis makes use of the algebraic theory which defines the function for combining partial certainty factors by means of a group operation of the ordered Abelian group over the interval of uncertainty. Two approaches are introduced: (a) sensitivity analysis of the i...