2010 | OriginalPaper | Buchkapitel
Market Equilibrium with Transaction Costs
verfasst von : Sourav Chakraborty, Nikhil R. Devanur, Chinmay Karande
Erschienen in: Internet and Network Economics
Verlag: Springer Berlin Heidelberg
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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
c
ij
; if the price of good
j
is
p
j
, then the cost to the buyer
i
per unit
of
j
is
p
j
+
c
ij
. 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.