Accession Number:

ADA063641

Title:

Computing the Core of a Market Game.

Descriptive Note:

Management sciences research rept.,

Corporate Author:

CARNEGIE-MELLON UNIV PITTSBURGH PA MANAGEMENT SCIENCES RESEARCH GROUP

Personal Author(s):

Report Date:

1978-01-01

Pagination or Media Count:

30.0

Abstract:

The assignment market game was defined by Shapley in 1955 and received a very full treatment by Shubik and Shapley in 1972. The present paper contains the following extensions the assignment game is generalized to a market game the two distinguished core points found for the assignment game are also shown to exist for the market game in the non dual degenerate case it is shown that the skeletons of the buyer and seller cores are isomorphic k-graphs and an algorithm is presented for computing skeletons of the buyer and seller cores of a market game. The results are illustrated with examples. At the end some remarks are made on the limiting sizes of cores. Author

Subject Categories:

  • Economics and Cost Analysis
  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE