3,498 research outputs found
0.5 Petabyte Simulation of a 45-Qubit Quantum Circuit
Near-term quantum computers will soon reach sizes that are challenging to
directly simulate, even when employing the most powerful supercomputers. Yet,
the ability to simulate these early devices using classical computers is
crucial for calibration, validation, and benchmarking. In order to make use of
the full potential of systems featuring multi- and many-core processors, we use
automatic code generation and optimization of compute kernels, which also
enables performance portability. We apply a scheduling algorithm to quantum
supremacy circuits in order to reduce the required communication and simulate a
45-qubit circuit on the Cori II supercomputer using 8,192 nodes and 0.5
petabytes of memory. To our knowledge, this constitutes the largest quantum
circuit simulation to this date. Our highly-tuned kernels in combination with
the reduced communication requirements allow an improvement in time-to-solution
over state-of-the-art simulations by more than an order of magnitude at every
scale
Auctions with Variable Supply: Uniform Price versus Discriminatory
We examine an auction in which the seller determines the supply after observing the bids. We compare the uniform price and the discriminatory auction in a setting of supply uncertainty. Uncertainty is caused by the interplay of two factors: the seller's private information about marginal cost, and the seller's incentive to sell the profit-maximizing quantity given the received bids. In every symmetric mixed strategy equilibrium, bidders submit higher bids in the uniform price auction than in the discriminatory auction. In the two-bidder case this result extends to the set of rationalizable strategies. As a consequence, we find that the uniform price auction generates higher expected revenue for the seller and higher trade volume.sealed bid multi-unit auctions, variable supply auctions, discriminatory and uniform price auctions, subgame perfect equilibria, rationalizable strategies
Uniform vs. Discriminatory Auctions with Variable Supply - Experimental Evidence
In the variable supply auction considered here, the seller decides how many costumers with unit demand to serve after observing their bids. Bidders are uncertain about the seller's cost. We experimentally investigate whether a uniform or a discriminatory price auction is better for the seller in this setting. Exactly as predicted by theory, it turns out that the uniform price auction produces substantially higher bids, and consequently yields higher revenues and profits for the seller. Somewhat surprisingly but again predicted by theory, it also yields a higher number of transactions, which makes it the more efficient auction format.auctions, experiment, discriminatory, uniform
Uniform vs. Discriminatory Auctions with Variable Supply - Experimental Evidence
In the variable supply auction considered here, the seller decides how many costumers with unit demand to serve after observing their bids. Bidders are uncertain about the seller's cost. We experimentally investigate whether a uniform or a discriminatory price auction is better for the seller in this setting. Exactly as predicted by theory, it turns out that the uniform price auction produces substantially higher bids, and consequently yields higher revenues and profits for the seller. Somewhat surprisingly but again predicted by theory, it also yields a higher number of transactions, which makes it the more efficient auction format.
Cooperation, Culture and Shared Values – Poland and Its Neighbourhood
The aim of the paper is the idea of cooperation as an undervalued element of the system of market economy. The system has been dominated by competition despite the wishes of its founding father, Adam Smith. Several other authors have also pointed to the fact and proposed to focus more on cooperation in order to keep economy in balance with society. Excessive reliance on the competition hurt people’s relationships and undermined their place in the economic system. The significance of cooperation rises when combined with the idea of culture and shared values. Chosen methods of assessing values as related to economic development are mentioned. The World Values Survey (WVS) results are used to assess the proximity of the values of the neighbouring countries of Poland. 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