BACKGROUND The U.S. Environmental Protection Agency (EPA) addresses uncontrolled and abandoned hazardous waste sites throughout the country. Sites that are perceived to be a significant threat to both surrounding populations and the environment can be placed on the U.S. EPA Superfund list and qualify for federal cleanup funds. The equitability of the Superfund program has been questioned; the r...

Abstract We study fair allocations of indivisible goods and chores in conjunction with system efficiency, measured by two social welfare functions, namely utilitarian egalitarian welfare. To model preference, each agent is associated a cardinal additive valuation function. The fairness criteria we are concerned equitability up to any item (EQX) one (EQ1). For the trade-off between investigate e...

Gandin and Murphy have shown that if a skill score is linear in the scoring matrix, and if the scoring matrix is symmetric, then in the 2-event case there exists a unique, \equitable" skill score, namely the True Skill Score (or Kuipers' performance index). As such, this measure is treated as preferable to other measures because of its equitability. However, in most practical situations the sco...

Cake cutting, a subfield of fair division, refers to the allocation of a heterogeneous, divisible, and continuous good among n players who have heterogeneous preferences. The challenge is to allocate the cake in such a way that is fair by using a procedure that encourages the players to be truthful about their preferences. There are several different notions of fairness studied in the literatur...

two different microhabitats (cropped fields versus established date-palm farms) in two different cities in khuzestan province, southwestern iran, were sampled monthly during 2011-2012 in order to assess the role of anthropic uses of soil on the biodiversity of oribatid mites. a total of 17 species of oribatid mites belonging to 10 families and 15 genera were identified (nine species were collec...