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Azarakhsh Malekian Massachusetts Institute of
Technology
Laboratory of Information and Decesion Sciences
77 Massachusetts Avenue ,
32D-632
email: malekian at mit dot edu
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I am a postdoctoral fellow at MIT affiliated
with LIDS working
with Professor Asu
Ozdaglar
and Professor Daron
Acemoglu.
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My research interests include:
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Network Economics:
Analyzing the strategic interactions over the network among
individuals
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Mechanism Design and
Game
Theory:
Theory
and applications of Bayesian mechanism design, including optimal
auctions in multidimensional settings, auction design for budget
constrained agents, computationally efficient approximations of
optimal auctions, and mechanism design for two sided matching
markets.
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Algorithm Design:
Designing computationally efficient algorithms (approximation and
randomized) for problems in transportation,
online/display advertising and energy monitoring applications.
I received my Ph.D. in Dec 2009 from the
Computer Science Department at
University of Maryland College Park. I was advised by Professor
Samir Khuller. Before
joining MIT, I was a postdoctoral fellow in the
Computer Science Department at Northwestern University from Jan 2010
until August 2011.
I received
my B.Sc. from Sharif University of Technology in Tehran.
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Selected Publications:
- Network Security and Contagion,
Daron Acemoglu, Azarakhsh Malekian, Asu
Ozdaglar, 2012 [Abstract]
Abstract: This work develops a theoretical model of investments in security in
a network of interconnected agents. The network connections
introduce the possibility of cascading failures depending on
exogenous or endogenous attacks and the profile of security
investments by the agents. The general presumption in the
literature, based on intuitive arguments or analysis of symmetric
networks, is that because security investments create positive
externalities on other agents, there will be underinvestment in
security. We show that this reasoning is incomplete because of a
first-order economic force: security investments are also strategic
substitutes. In a general (non-symmetric) network, this implies that
underinvestment by some agents will encourage overinvestment by
others. We demonstrate by means of examples that not only there will
be overinvestment by some agents but also aggregate probabilities of
infection can be lower in equilibrium than in the social optimum. We
then provide sufficient conditions for underinvestment. This
requires both sufficiently convex cost functions (just convexity is
not enough) and networks that are either symmetric or locally
tree-like (i.e., either trees or in the case of stochastic networks,
without local cycles with high probability). We also characterize
the impact of network structure on equilibrium and optimal
investments. Finally, we show that when the attack location is
endogenized (by assuming that the attacker chooses a probability
distribution over the location of the attack in order to maximize
damage), there is another reason for overinvestment: greater
investment by an agent shifts the attack to other parts of the
network.
- Competitive
Equilibrium in Two Sided Matching Markets with General Utility
Functions, Saeed
Alaei, Kamal Jain, Azarakhsh Malekian, 2011 [Abstract]
Abstract: In this paper, we
study the class of competitive equilibria in two sided
matching markets with general (non-quasilinear) utility
functions. Mechanism design in general non-quasilinear
setting is one of the biggest challenges in mechanism
design. Almost all of the existing work on general non-quasilinear
utility function have resorted to non-constructive proofs
based on fixed point theorems or discretization. In this
paper, we give the first direct characterization of
competitive equilibria in such markets. Our approach is
constructive and solely based on induction. Our
characterization reveals striking similarities between the
payments at the lowest competitive equilibrium for general
utilities and VCG payments for quasilinear utilities. We
also show that the mechanism that outputs the lowest
competitive equilibrium is group strategyproof. We also
present a class of price discriminating truthful mechanisms
for selling heterogeneous goods to unit-demand buyers with
general utility functions and from that we derive a natural
welfare maximizing mechanism for ad-auctions that combines
pay per click and pay per impression advertisers with
general utility functions.
- Bayesian Optimal Auctions via Multi- to Single-agent Reduction,
Saeed Alaei, Hu Fu, Nima Haghpanah, Jason Hartline,
Azarakhsh Malekian, 2012 [Abstract]
Abstract:
We study an abstract optimal auction problem
for a single good or service. This problem includes
environments where agents have budgets, risk preferences, or
multi-dimensional preferences over several possible
configurations of the good (furthermore, it allows an
agent's budget and risk preference to be known only
privately to the agent). A single-agent problem is to
optimize a given objective subject to a constraint on the
maximum probability with which each type is allocated,
a.k.a., an allocation rule. Our approach is a reduction from
multi-agent mechanism design problem to collection of
single-agent problems. We focus on maximizing revenue, but
our results can be applied to other objectives (e.g.,
welfare).
An optimal multi-agent mechanism can be computed by a
linear/convex program on interim allocation rules by
simultaneously optimizing several single-agent mechanisms
subject to joint feasibility of the allocation rules. For
single-unit auctions, [Border91] showed that the space
of all jointly feasible interim allocation rules for n
agents is a D-dimensional convex polytope which can be
specified by 2D linear constraints, where D is
the total number of all agents' types. Consequently,
efficiently solving the mechanism design problem requires a
separation oracle for the feasibility conditions and also an
algorithm for ex-post implementation of the interim
allocation rules. We show that the polytope of jointly
feasible interim allocation rules is the projection of a
higher dimensional polytope which can be specified by only
O(D) linear constraints. Furthermore, our proof shows that
finding a preimage of the interim allocation rules in the
higher dimensional polytope immediately gives an ex-post
implementation
- Baysian Algorithmic Mechanism
Design: Multi Dimensional Setting,
Jason Hartine, Robert Kleinberg, Azarakhsh Malekian, 2011
[Abstract]
Abstract: Even without strategizing on
the part of participants, optimally allocating cellphone
spectrum, advertisements on the Internet, and landing
slots at airports is intractable. When the participants
may strategize, not only must the optimizer deal with
complex feasibility constraints but complex incentive
constraints. The main approach for dealing with complex
incentive constraints is the Vickrey-Clarke-Groves (VCG)
mechanism. Unfortunately, finding the optimal allocation
is the first step of the VCG mechanism, and moreover,
this step cannot generally be replaced by a non-optimal heuristic or
approximation algorithm without compromising the
incentive properties of the mechanism.
We give a very simple approach for constructing
mechanisms from ad hoc algorithms. Our approach is based
on calculating a maximum weighted matching in the
type-space of each agent; such a calculation can be
performed quickly when the type-space of each agent is
reasonably sized. Furthermore, this calculation is
performed independently for each agent and therefore
scales well with the number of agents. Approximately:
the mechanisms we give are Bayesian incentive compatible
(meaning: truthful revelation is a Bayes-Nash
equilibrium) and the expected welfare of the mechanism
constructed is at least that of the original ad hoc
algorithm.
- You can also see a more complete list of my
publications
here.
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