In quasi-proportional auctions, the allocation is shared among bidders in proportion to their weighted bids. The auctioneer selects a bid weight function, and bidders know the weight function when they bid. In this note, we analyze how weight functions that are exponential in the bid affect bidder behavior. We show that exponential weight functions have a pure-strategy Nash equilibrium, we char...

The purpose of this paper is to introduce and investigate cardinal functions called pseudonet weight, weak net weight, and weak pseudonet weight. These are similar to but generally smaller than net weight. We look at how these cardinal functions relate to hereditary Lindelöf degree, hereditary density, and spread, and we study their behavior under products. An important and useful cardinal func...

We discuss the most common types of weight functions in harmonic analysis and how they occur in time-frequency analysis. As a general rule, submultiplicative weights characterize algebra properties, moderate weights characterize module properties, Gelfand-Raikov-Shilov weights determine spectral invariance, and Beurling-Domar weights guarantee the existence of compactly supported test functions.

The conventional weighted aggregation method is extended to realize multi-objective optimization. The basic idea is that systematically changing the weights during evolution will lead the population to the Pareto front. Two possible methods are investigated. One method is to assign a uniformly distributed random weight to each individual in the population in each generation. The other method is...

the aim of this study was to investigate the correlation between each parent’s body mass index (bmi) and maternal age with weight status of children. this was an analytic cross-sectional study which was conducted on 12-year-old students from different areas in rasht, north part of iran. the checklist included demographic characteristics such as age, maternal age during childbirth, student and m...

BACKGROUND There has been a rapid increase in the publication of guidelines for managing obesity and weight gain during pregnancy over the past five years. Healthcare professionals have identified multiple barriers to this area of practice, including the need to improve their communication skills, beliefs that pregnant women will have negative reactions to weight-related discussions, and a lack...

agricultural sector will be most affected by climate change due to its extensive interaction with the environment. and as a result of changing production conditions, community welfare is changed. this study attempted at understanding the welfare effects of changes in climate parameters on the wheat product. therefore, the yield functions were initially estimated. supply, demand and import funct...