Dagstuhl Seminar Proceedings, Volume 10171
Dagstuhl Seminar Proceedings
DagSemProc
https://www.dagstuhl.de/dagpub/1862-4405
https://dblp.org/db/series/dagstuhl
1862-4405
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
10171
2010
https://drops.dagstuhl.de/entities/volume/DagSemProc-volume-10171
10171 Abstracts Collection – Equilibrium Computation
From April 25 to April 30, 2010, the Dagstuhl Seminar 10171 ``Equilibrium Computation'' was held in Schloss Dagstuhl~--~Leibniz Center for Informatics.
During the seminar, several participants presented their current
research, and ongoing work and open problems were discussed. Abstracts of
the presentations given during the seminar as well as abstracts of
seminar results and ideas are put together in this paper. The first section
describes the seminar topics and goals in general.
Links to extended abstracts or full papers are provided, if available.
Equilibrium computation
algorithmic game theory
1-18
Regular Paper
Edith
Elkind
Edith Elkind
Nimrod
Megiddo
Nimrod Megiddo
Peter Bro
Miltersen
Peter Bro Miltersen
Bernhard
von Stengel
Bernhard von Stengel
Vijay V.
Vazirani
Vijay V. Vazirani
10.4230/DagSemProc.10171.1
Creative Commons Attribution 4.0 International license
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Improved Algorithms for Computing Fisher's Market Clearing Prices
We give the first strongly polynomial time algorithm for computing
an equilibrium for the linear utilities case of Fisher's market model.
We consider a problem with a set $B$ of buyers and a set $G$ of divisible goods.
Each buyer $i$ starts with an initial integral allocation
$e_i$ of money. The integral utility for buyer $i$ of
good $j$ is $U_{ij}$. We first develop a weakly polynomial
time algorithm that runs in $O(n^4 log U_{max} + n^3 e_{max})$ time, where
$n = |B| + |G|$. We further modify the algorithm so that it runs
in $O(n^4 log n)$ time. These algorithms improve upon the
previous best running time of
$O(n^8 log U_{max} + n^7 log e_{max})$, due to Devanur et al.
Market equilibrium
Fisher
strongly polynomial
1-19
Regular Paper
James B.
Orlin
James B. Orlin
10.4230/DagSemProc.10171.2
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Proportional Response as Iterated Cobb-Douglas
We show that the proportional response algorithm for computing an
economic equilibrium in a Fisher market model can be interpreted as
iteratively approximating the economy by one with Cobb-Douglas
utilities, for which a closed-form equilibrium can be obtained.
We also extend the method to allow elasticities of substitution at
most one.
Computing equilibria
Fisher market
proportional response algorithm
Cobb-Douglas utilities
1-6
Regular Paper
Michael J.
Todd
Michael J. Todd
10.4230/DagSemProc.10171.3
Creative Commons Attribution 4.0 International license
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