We consider users bidding in a series of multi-unit sealed-bid auctions, aiming at reserving the same amount of units of the resource auctioned, e.g. transmission slots in a wireless network. Each user attains from each successful allocation of resource units an instant marginal utility that depends on his history of resource allocation. The user’s bid at each auction equals this marginal utili...

The main aim of the paper is to study impact delay times in a poro-elastic medium using finite element approach and three-phase lag thermo-elastic theory. governing equations were obtained for model with six times. Consideration was given one-dimensional application half-space. Because complex form basic equations, used solve this problem. Asymmetric symmetric tensors represent all physical qua...