Market Equilibrium with Transaction Costs

  • Sourav Chakraborty
  • Nikhil R. Devanur
  • Chinmay Karande
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6484)

Abstract

Identical products being sold at different prices in different locations is a common phenomenon. To model such scenarios, we supplement the classical Fisher market model by introducing transaction costs. For every buyer i and good j, there is a transaction cost of cij; if the price of good j is pj, then the cost to the buyer iper unit of j is pj + cij. The same good can thus be sold at different (effective) prices to different buyers. We provide a combinatorial algorithm that computes ε-approximate equilibrium prices and allocations in \(O\left(\frac{1}{\epsilon}(n+\log{m})mn\log(B/\epsilon)\right)\) operations - where m is the number goods, n is the number of buyers and B is the sum of the budgets of all the buyers.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Sourav Chakraborty
    • 1
  • Nikhil R. Devanur
    • 2
  • Chinmay Karande
    • 3
  1. 1.Chennai Mathematical InstituteIndia
  2. 2.Microsoft ResearchRedmond
  3. 3.Google Inc.Mountain View

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