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On the complexity of equilibria
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the thiry-fourth annual ACM symposium on Theory of computing table of contents
Montreal, Quebec, Canada
SESSION: Session 2A table of contents
Pages: 67 - 71  
Year of Publication: 2002
ISBN:1-58113-495-9
Authors
Xiaotie Deng  City University of Hong Kong, Hong Kong, China
Christos Papadimitriou  University of California, Berkeley, CA
Shmuel Safra  Tel Aviv University, Israel
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 5,   Downloads (12 Months): 42,   Citation Count: 27
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ABSTRACT

We prove complexity, approximability, and inapproximability results for the problem of finding an exchange equilibrium in markets with indivisible (integer) goods, most notably a polynomial-time algorithm that approximates the market equilibrium arbitrarily closely when the number of goods is bounded and the utilities are linear. We also show a communication complexity lower bound, implying that the ideal informational economy of a market with unique individual optima is unattainable in general.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
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2
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4
D. Gale, "Equilibrium in a discrete exchange economy with money," Internat. J. Game Theory} 13 (1984, no. 1, 61--64.
 
5
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9
N. Nisan, "Communication Complexity of Combinatorial Auctions," manuscript, 2001. "Communication Complexity of Approximate Set Packing and Covering."
 
10
N. Nisan and I. Segal, "The Communication Complexity of Efficient Allocation Problems" presented in DIMACS workshop on Computational Issues in Game Theory and Mechanism Design, November 2001.
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14
H. Scarf, The Computation of Economic Equilibria (with collaboration of T. Hansen, Cowles Foundation Monograph No. 24. New Haven: Yale University Press, 1973.

CITED BY  27

Collaborative Colleagues:
Xiaotie Deng: colleagues
Christos Papadimitriou: colleagues
Shmuel Safra: colleagues