Suppose that n ≥ 2 bidders are submitting bids to win an item that is worth 100 to each of them. a bid is any number from [0,100]. the highest bid wins the item. if m bidders submit the highest bid then they share the item, so each receives a benefit of 100/m. all bidders—not just the highest bidders—pay a price equal to their bid. letting bi denote bidder i’s bid, bidder i’s payoff then equals (100/m) - bi when i submitted the highest bid and a total of m bidders submitted the highest bid, and equals -bi if i’s bid was not the highest. find all nash equilibria.

Darian wants to build a regulation size pool table that is 9 feet in length.he plans he ordered are 18 by 36 inches. what is the scale factor of the dilation he must use to build a regulation pool table

Donald has x twenty-dollar bills and 11 ten-dollar bill. how much money does donald have? write your answer as an expression.

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information: