A fast and simple algorithm for computing market equilibria

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5385 LNCS, Issue , 2008, Pages 19-30

  Fleischer, Lisa ^a   Garg, Rahul ^b   Kapoor, Sanjiv ^c   Khandekar, Rohit ^b   Saberi, Amin ^d  

^a DARTMOUTH COLLEGE   (United States)

^b IBM T J WATSON RESEARCH CENTER   (United States)

^c ILLINOIS INSTITUTE OF TECHNOLOGY   (United States)

^d STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COBB-DOUGLAS; COMPUTING MARKETS; CONVEX PROGRAMS; LEONTIEF; MARKET EQUILIBRIUM; MATHEMATICAL FORMULATIONS; MULTI-COMMODITY FLOWS; NUMBER OF ITERATIONS; PRICE-ADJUSTING; SIMPLE ALGORITHMS; UTILITY FUNCTIONS;

ALGORITHMS; COMPETITION; COSTS; ECONOMICS; INTERNET; PLANNING; PROBABILITY DENSITY FUNCTION; RESOURCE ALLOCATION; WINE;

FUNCTIONS;

EID: 58849157304     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-92185-1_11     Document Type: Conference Paper

References (30)

1. Arrow, K., Debreu, G.: Existence of an Equilibrium for a Competitive Economy. Econometrica 22, 265-290 (1954)
2. Arrow, K.J., Block, H.D., Hurwicz, L.: On the stability of the competitive equilibrium, II. Econometrica 27(1), 82-109 (1959)
3. Chen, N., Deng, X., Sun, X., Yao, A.: Fisher Equilibrium Price with a class of Concave Utility Functions. In: Albers, S., Radzik, T. (eds.) ESA 2004. LNCS, vol. 3221, pp. 169-179. Springer, Heidelberg (2004)
4. Codenotti, B., Varadarajan, K.: Computation of market equilibria by convex programming. In: Nisan, N., Roughgarden, T., Tardos, E., Vazirani, V.V. (eds.) Algorithmic Game Theory. Cambridge University Press, Cambridge (2007)
5. Codenotti, B., McCune, B., Pemmaraju, S.V., Raman, R., Varadarajan, K.: An experimental study of different approaches to solve the market equilibrium problem. In: ALENEX/ANALCO, pp. 167-179 (2005)
6. Codenotti, B., McCune, B., Raman, R., Varadarajan, K.: Computing equilibrium prices: Does theory meet practice? In: Brodal, G.S., Leonardi, S. (eds.) ESA 2005. LNCS, vol. 3669. Springer, Heidelberg (2005)
7. Codenotti, B., McCune, B., Varadarajan, K.: Market equilibrium via the excess demand function. In: STOC (2005)
8. Cole, R., Fleischer, L.: Fast-converging tatonnement algorithms for the market problem. Technical Report TR2007-602, Dept. of Computer Science, Dartmouth College (2007), http://www.cs.dartmouth.edu/reports/
9. Deng, X., Papadimitriou, C, Safra, S.: On the Complexity of Equilibria. In: STOC (2002)
10. Devanur, N., Papadimitriou, C, Saberi, A., Vazirani, V.: Market Equilibrium via a Primal-Dual-Type Algorithm. In: FOCS, pp. 389-395 (2002); Journal version to appear in the Journal of the ACM
11. Fleischer, L.: Approximating fractional multicommodity flow independent of the number of commodities. SIAM J. Discrete Math. 13, 505-520 (2000)
12. Garg, N., Könemann, J.: Faster and simpler algorithms for multicommodity flow and other fractional packing problems. In: FOCS, pp. 300-309 (1998)
13. Garg, R., Kapoor, S.: Auction algorithms for market equilibrium. Math. Oper. Res. 31(4), 714-729 (2006)
14. Garg, R., Kapoor, S.: Price roll-backs and path auctions: An approximation scheme for computing the market equilibrium. In: Spirakis, P.G., Mavronicolas, M., Konto-giannis, S.C. (eds.) WINE 2006. LNCS, vol. 4286, pp. 225-238. Springer, Heidelberg (2006)
15. Garg, R., Kapoor, S., Vazirani, V.: An Auction-Based Market Equilibrium Algorithm for the Separable Gross Substitutability Case. In: Jansen, K., Khanna, S., Rolim, J.D.P., Ron, D. (eds.) RANDOM 2004 and APPROX 2004. LNCS, vol. 3122, pp. 128-138. Springer, Heidelberg (2004)
16. Grötschel, M., Lovász, L., Schrijver, A.: Geometric Algorithms and Combinatorial Optimization. Springer, Berlin (1988)
17. Jain, K., Mahdian, M., Saberi, A.: Approximating Market Equilibrium. In: Arora, S., Jansen, K., Rolim, J.D.P., Sahai, A. (eds.) RANDOM 2003 and APPROX 2003. LNCS, vol. 2764, pp. 98-108. Springer, Heidelberg (2003)
18. Jain, K., Vazirani, V.: Eisenberg-gale markets: Algorithms and structural properties. In: STOC (2007)
19. Kelly, F.P., Vazirani, V.: Rate control as a market equilibrium (manuscript, 2002)
20. Mas-Colell, A.: The Theory of General Economic Equilibrium: A Differential Approach. Cambridge University Press, Cambridge (1985)
21. Negishi, T.: A note on the stability of an economy where all goods are gross substitutes. Econometrica 26(3), 445-447 (1958)
22. Negishi, T.: The stability of a competitive economy: A survey article. Econometrica 30(4), 635-669 (1962)
23. Nikaido, H., Uzawa, H.: Stability and non-negativity in a Walrasian process. International Econ. Review 1, 50-59 (1960)
24. Plotkin, S., Shmoys, D., Tardos, E.: Fast approximation algorithms for fractional packing and covering problems. Math. Oper. Res. 20, 257-301 (1995)
25. Quah, J.K.-H.: The monotonicity of individual and market demand. Econometrica 68(4), 911-930 (2000)
26. Samuelson, P.A.: Foundations of Economic Analysis. Harward University Press, Cambridge (1947)
27. Varian, H.: Microeconomic Analysis. W. W. Norton, New York (1992)
28. Vazirani, V.: Combinatorial algorithms for market equilibria. In: Nisan, N., Rough-garden, T., Tardos, E., Vazirani, V.V. (eds.) Algorithmic Game Theory. Cambridge University Press, Cambridge (2007)
29. Walras, L.: Elements of Pure Economics, or the Theory of Social Wealth. Lausanne, Paris (1874) (in French)
30. Ye, Y.: A path to the Arrow-Debreu competitive market equilibrium. Mathematical Programming (2006)