Sequence of algorithms to compute equilibrium prices in networks
First Claim
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1. A computer-implemented system that facilitates equilibrium for a natural resource allocation market, comprising:
- a memory;
one or more processors operatively coupled to the memory and disposed within one or more devices;
an analysis component disposed within one of the one or more devices that ascertains at least one of a supply or a demand for a set of edges in a natural resource allocation market; and
a solutions component disposed within one of the one or more devices that employs a strongly polynomial combinatorial algorithm to determine an equilibrium solution to a convex program for the set of edges based in part on relaxing complementary slackness conditions.
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Abstract
The claimed subject matter provides an architecture for facilitating equilibrium solutions for resource allocation markets. One particular example of such markets can be a computer network environment. The architecture can model buyers as nodes and suppliers as edges, incorporating notions of an ascending price auction in order to provide optimal equilibrium solution to Eisenberg-Gale type convex programs in strongly polynomial time.
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Citations
18 Claims
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1. A computer-implemented system that facilitates equilibrium for a natural resource allocation market, comprising:
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a memory; one or more processors operatively coupled to the memory and disposed within one or more devices; an analysis component disposed within one of the one or more devices that ascertains at least one of a supply or a demand for a set of edges in a natural resource allocation market; and a solutions component disposed within one of the one or more devices that employs a strongly polynomial combinatorial algorithm to determine an equilibrium solution to a convex program for the set of edges based in part on relaxing complementary slackness conditions. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13)
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14. A computer-implemented method for facilitating equilibrium for a natural resource allocation market, comprising:
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monitoring at least one of a supply or a demand for a set of edges in a natural resource allocation market; and employing, by a processor, a strongly polynomial combinatorial algorithm for determining an equilibrium solution to a convex program for the set of edges based in part on relaxing complementary slackness conditions. - View Dependent Claims (15, 16, 17)
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18. One or more computer-readable storage devices encoded with instructions, that when executed by at least one processor, implement acts comprising:
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examining at least one of a supply or demand for a set of edges in a natural resource allocation market; and employing a strongly polynomial combinatorial algorithm for determining an equilibrium solution to a convex program for the set of edges based in part on relaxing complementary slackness conditions.
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Specification