We address the problem of fair division, or cake cutting, with the goal of finding truthful mechanisms. In the case of a general measure space (“cake”) and non-atomic, additive individual preference measures or utilities we show that there exists a truthful “mechanism” which ensures that each of the k players gets at least 1/k of the cake. This mechanism also minimizes risk for truthful players...

AIM This study was conducted to evaluate the growth performance and nutrient digestibility of guar meal, an unconventional protein-rich feed ingredient in kids in comparison to conventional groundnut cake. MATERIALS AND METHODS A total of 18 kids were randomly allotted to three groups, and T1 group was fed on basal diet, T2 and T3 groups were offered diet replacing groundnut cake at 50% and 1...

In this paper, two types of material forming filter cakes with different compressibility and compactness, namely CaCO3 and Kaolin were examined in a new test cell. Our measurements in the new test cell showed that C–P test data could predict reasonably well the actual filtration process. Taking into account the effect of side-wall friction, there were about 2–15 and 1–16% differences in average...

We extend the classic cake-cutting problem to a situation in which the ”cake” is divided among families. Each piece of cake is owned and used simultaneously by all members of the family. A typical example of such a cake is land. We examine three ways to assess the fairness of such a division, based on the classic no-envy criterion: (a) Average envy-freeness means that for each family, the avera...

Cryofixation, freeze-etch techniques were used to study the structure of cake batters made from a lean cake formulation before heating and after heating to temperatures up to l00-l02 °C. Batters were prepared without added emulsifiers and with saturated and unsaturated monoglycerides replacing 5 and l 0% of the oil. Unsaturated monoglyceri des were more effective than saturated monoglycerides i...

Introduction. Date press cake is a waste product of date juice making that can lead to potentially serious environmental problems if discarded in large amounts open areas. Therefore, it needs be utilized. Our study aimed investigate the possibilities using powder formulate innovative ready-to-eat products – vegan biscuits and protein bars.
 Study objects methods. The food under were subjec...

We consider the problem of fairly dividing a heterogeneous cake between a number of players with different tastes. In this setting, it is known that fairness requirements may result in a suboptimal division from the social welfare standpoint. Here, we show that in some cases, discarding some of the cake and fairly dividing only the remainder may be socially preferable to any fair division of th...

We consider the classic cake-divison problem when the cake is a heterogeneous good represented by an interval in the real line. We provide a mechanism to implement, in an anonymous way, an envy-free and e¢cient allocation when agents have private information on their preferences. The mechanism is a multistep sequential game form in which each agent at each step receives a morsel of the cake tha...

Stochastic sequential bargaining games (Merlo and Wilson (1995, 1998)) have found wide applications in various …elds including political economy and macroeconomics due to their ‡exibility in explaining delays in reaching an agreement. In this paper, we present new results in nonparametric identi…cation of such models under di¤erent scenarios of data availability. First, we give conditions for a...

Five new mathematical triple fouling models were developed to explore the flux decline behavior during the microfiltration. The first model was developed by the assumption of the successive effects of standard mechanism, intermediate pore blockage and cake formation by using the standard blocking flux expression in the model calculations. The second and third models also obtained by the success...