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A Double-Track Adjustment Process for Discrete Markets With Substitutes and Complements

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  • Ning Sun
  • Zaifu Yang

Abstract

We propose a new Walrasian tatonnement process called a double-track procedure for efficiently allocating multiple heterogeneous indivisible items in two distinct sets to many buyers who view items in the same set as substitutes but items across the two sets as complements. In each round of the process, a Walrasian auctioneer first announces the current prices for all items, buyers respond by reporting their demands at these prices, and then the auctioneer adjusts simultaneously the prices of items in one set upward but those of items in the other set downward. It is shown that this procedure converges globally to a Walrasian equilibrium in finitely many rounds. Copyright 2009 The Econometric Society.

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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 77 (2009)
Issue (Month): 3 (05)
Pages: 933-952

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Handle: RePEc:ecm:emetrp:v:77:y:2009:i:3:p:933-952

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Cited by:
  1. Talman, Dolf & Yang, Zaifu, 2011. "A model of partnership formation," Journal of Mathematical Economics, Elsevier, vol. 47(2), pages 206-212, March.
  2. Gerard van der Laan & Zaifu Yang, 2008. "An Ascending Multi-Item Auction with Financially Constrained Bidders," Tinbergen Institute Discussion Papers 08-017/1, Tinbergen Institute.
  3. Bo Chen & Satoru Fujishige & Zaifu Yang, 2010. "Decentralized Market Processes to Stable Job Matchings with Competitive Salaries," KIER Working Papers 749, Kyoto University, Institute of Economic Research.
  4. Ning Sun & Zaifu Yang, 2014. "An Efficient and Incentive Compatible Dynamic Auction for Multiple Complements," Discussion Papers 14/06, Department of Economics, University of York.
  5. Hatfield, John William & Immorlica, Nicole & Kominers, Scott Duke, 2012. "Testing substitutability," Games and Economic Behavior, Elsevier, vol. 75(2), pages 639-645.
  6. Bettina Klaus & Frédéric Payot, 2013. "Paths to Stability in the Assignment Problem," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 13.14, Université de Lausanne, Faculté des HEC, DEEP.
  7. Akiyoshi Shioura & Zaifu Yang, 2013. "Equilibrium, Auction, Multiple Substitutes and Complements," Discussion Papers 13/17, Department of Economics, University of York.
  8. Yuan Ju, 2013. "Efficiency and compromise: a bid-offer–counteroffer mechanism with two players," International Journal of Game Theory, Springer, vol. 42(2), pages 501-520, May.
  9. Dolf Talman & Zaifu Yang, 2013. "An Efficient Multi-Item Dynamic Auction with Budget Constrained Bidders," Discussion Papers 13/31, Department of Economics, University of York.
  10. Talman, A.J.J. & Yang, Z.F., 2011. "An Efficient Multi-Item Dynamic Auction with Budget Constrained Bidders," Discussion Paper 2011-096, Tilburg University, Center for Economic Research.

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