We study the efficiency of mechanisms for allocating a divisible resource. Given scalar signals submitted by all users, such a mechanism decides the fraction of the resource that each user will receive and a payment that will be collected from her. Users are self-interested and aim to maximize their utility (defined as their value for the resource fraction they receive minus their payment). Sta...

In a multi-battle contest, each time a player competes by investing some of her budgets or resources in a component battle to collect a value if winning the battle. There are multiple battles to fight, and the budgets get consumed over time. The final winner in the overall contest is the one who first reaches some amount of total value. Examples include R & D races, sports competition, election...

it is known that a stochastic dierential equation (sde) induces two probabilisticobjects, namely a diusion process and a stochastic ow. while the diusion process isdetermined by the innitesimal mean and variance given by the coecients of the sde,this is not the case for the stochastic ow induced by the sde. in order to characterize thestochastic ow uniquely the innitesimal covariance give...

fifty-four specimens of the kingsoldier bream, argyrops spinifer (forsskal, 1775) from coastal waters of the persian gulf, in bushehr province, were aged by otolith readings to assess the suitability of using otolith length/weight for age estimation in this fish. otolith length and weight increased along with an increase in length and age of the fish. the relationship between fish length (tl) a...

Budget constraints are commonly considered in real decision frameworks; however, the literature has rarely addressed the design of contracts for supply chains with budget-constrained members and in which capital costs are considered. In this article, we study supply chain coordination of budget-constrained members when a financial market is unavailable. We propose a revenue-sharing-and-buy-back...

When multiple items are auctioned sequentially, the ordering of auctions plays an important role in the total revenue collected by the auctioneer. This is true especially with budget constrained bidders and the presence of complementarities among items. It is difficult to develop efficient algorithms for finding an optimal sequence of items. However, when historical data are available, it is po...

In this paper the problem of maximal increase of system reliability is formulated as a resource allocation problem under a budget constraint. Dynamic programing is used for the optimal solution. Time to system failure is dictated by a Markov process. The system is composed of several subsystems. Each subsystem has several possible configurations that exhibit different levels of fault tolerance ...

An auctioneer wishes to sell several heterogeneous indivisible items to a group of potential bidders. Each bidder has valuations over the items but may face a budget constraint and therefore be unable to pay up to his values. In such markets, a Walrasian equilibrium may fail to exist. We develop a novel dynamic auction and prove that the auction always finds a core allocation. In the auction pr...

background: aflatoxins (afs) are the most prevalent carcinogenic mycotoxins, produced mainly by aspergillus flavus and a. parasiticus. the general purpose of the present study was to use dehydroacetic acid (dha) and ozonated water (ow) to control a. flavus growth and accumulation of aflatoxin b1 (afb1) in iranian pistachios. methods: three treatment pistachio groups were separately immersed in ...

This paper studies the flexible-versus-dedicated technology choice and capacity investment decisions of a multi-product firm under demand uncertainty in the presence of budget constraints. The firm operates under a capital budget for financing the capacity investment, and an operating budget, which is uncertain in the capacity investment stage, for financing the production. We investigate how t...