Cake cutting has been recognized as a fundamental model in fair division, and several envy-free cake cutting algorithms have been proposed. Recent works from the computer science field proposed novelmechanisms for cake cutting, whose approaches are based on the theory of mechanism design; these mechanisms are strategy-proof, i.e., no agent has any incentive to misrepresent her utility function,...

AIM To assess the effect of mustard cake (Brassica juncea L.) levels in concentrate mixtures and in composite feed mixtures (CFMs) on in-vitro fermentation characteristics and methane production. MATERIALS AND METHODS Five concentrate mixtures were prepared with containing 30% oil cake, where linseed cake was replaced by mustard cake at the rate of 0%, 7.5%, 15.0%, 22.5%, and 30% in concentra...

The effect of supplementation of wheat straw (WS) with raw/detoxified mahua cake (MC) on yield and nutritional quality of Pleurotus sajor caju was studied. Raw cake significantly enhanced the yield compared to control and could be tolerated up to a 10% addition. Detoxification further improved the mushroom yield giving a maximum of 1024.7 g kg(-1) from WS supplemented with 20% saponin free deto...

The problem of fairly dividing a cake (as a metaphor for a heterogeneous divisible good) has been the subject of much interest since the 1940’s, and is of importance in multiagent resource allocation. Two fairness criteria are usually considered: proportionality, in the sense that each of the n agents receives at least 1/n of the cake; and the stronger property of envy-freeness, namely that eac...

Effect of free gossypol present in the cottonseed cakes was investigated using 12, Nili-Ravi dairy buffaloes randomly assigned to two equal groups i.e., A and B. Buffaloes in group. A were fed control ration and buffaloes in group B were fed cottonseed cake ration containing 5.88g free gossypol. Non­ significant differences were found between control and treated buffaloes in respect of occurren...

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...

Cake cutting is one of the most fundamental settings in fair division and mechanism design without money. In this paper, we consider different levels of three fundamental goals in cake cutting: fairness, Pareto optimality, and strategyproofness. In particular, we present robust versions of envy-freeness and proportionality that are not only stronger than their standard counter-parts but also ha...

Background: Replacement of the gluten is one of the challenging issues in the food industry, since producing nutritious and functionally acceptable gluten-free foods is difficult. The cake is a cereal-based product that attracts the consumers due to its various flavors, long shelf-life, and relatively low cost. Considering the competition in markets and the increased demand for functional and n...

In this paper we consider the problem of chore division, which is closely related to a classical question, due to Steinhaus [7], of how to cut a cake fairly. We focus on constructive solutions, i.e., those obtained via a well-defined procedure or algorithm. Among the many notions of fairness is envy-freeness: an envy-free cake division is a set of cuts and an allocation of the pieces that gives...

We consider the problem of fair division of a two dimensional heterogeneous good among several agents. Applications include division of land as well as ad space in print and electronic media. Classical cake cutting protocols either consider a one-dimensional resource, or allocate each agent several disconnected pieces. In practice, however, the two dimensional shape of the allotted piece is of ...