82 research outputs found
Incentivizing the Dynamic Workforce: Learning Contracts in the Gig-Economy
In principal-agent models, a principal offers a contract to an agent to
perform a certain task. The agent exerts a level of effort that maximizes her
utility. The principal is oblivious to the agent's chosen level of effort, and
conditions her wage only on possible outcomes. In this work, we consider a
model in which the principal is unaware of the agent's utility and action
space. She sequentially offers contracts to identical agents, and observes the
resulting outcomes. We present an algorithm for learning the optimal contract
under mild assumptions. We bound the number of samples needed for the principal
obtain a contract that is within of her optimal net profit for every
Randomization beats Second Price as a Prior-Independent Auction
Designing revenue optimal auctions for selling an item to symmetric
bidders is a fundamental problem in mechanism design. Myerson (1981) shows that
the second price auction with an appropriate reserve price is optimal when
bidders' values are drawn i.i.d. from a known regular distribution. A
cornerstone in the prior-independent revenue maximization literature is a
result by Bulow and Klemperer (1996) showing that the second price auction
without a reserve achieves of the optimal revenue in the worst case.
We construct a randomized mechanism that strictly outperforms the second
price auction in this setting. Our mechanism inflates the second highest bid
with a probability that varies with . For two bidders we improve the
performance guarantee from to of the optimal revenue. We also
resolve a question in the design of revenue optimal mechanisms that have access
to a single sample from an unknown distribution. We show that a randomized
mechanism strictly outperforms all deterministic mechanisms in terms of worst
case guarantee
Approximately Optimal Mechanism Design: Motivation, Examples, and Lessons Learned
Optimal mechanism design enjoys a beautiful and well-developed theory, and
also a number of killer applications. Rules of thumb produced by the field
influence everything from how governments sell wireless spectrum licenses to
how the major search engines auction off online advertising. There are,
however, some basic problems for which the traditional optimal mechanism design
approach is ill-suited --- either because it makes overly strong assumptions,
or because it advocates overly complex designs. The thesis of this paper is
that approximately optimal mechanisms allow us to reason about fundamental
questions that seem out of reach of the traditional theory.
This survey has three main parts. The first part describes the approximately
optimal mechanism design paradigm --- how it works, and what we aim to learn by
applying it. The second and third parts of the survey cover two case studies,
where we instantiate the general design paradigm to investigate two basic
questions. In the first example, we consider revenue maximization in a
single-item auction with heterogeneous bidders. Our goal is to understand if
complexity --- in the sense of detailed distributional knowledge --- is an
essential feature of good auctions for this problem, or alternatively if there
are simpler auctions that are near-optimal. The second example considers
welfare maximization with multiple items. Our goal here is similar in spirit:
when is complexity --- in the form of high-dimensional bid spaces --- an
essential feature of every auction that guarantees reasonable welfare? Are
there interesting cases where low-dimensional bid spaces suffice?Comment: Based on a talk given by the author at the 15th ACM Conference on
Economics and Computation (EC), June 201
Brief Announcement: Bayesian Auctions with Efficient Queries
Generating good revenue is one of the most important problems in Bayesian auction design, and many (approximately) optimal dominant-strategy incentive compatible (DSIC) Bayesian mechanisms have been constructed for various auction settings. However, most existing studies do not consider the complexity for the seller to carry out the mechanism. It is assumed that the seller knows "each single bit" of the distributions and is able to optimize perfectly based on the entire distributions. Unfortunately this is a strong assumption and may not hold in reality: for example, when the value distributions have exponentially large supports or do not have succinct representations.
In this work we consider, for the first time, the query complexity of Bayesian mechanisms. We only allow the seller to have limited oracle accesses to the players\u27 value distributions, via quantile queries and value queries. For a large class of auction settings, we prove logarithmic lower-bounds for the query complexity for any DSIC Bayesian mechanism to be of any constant approximation to the optimal revenue. For single-item auctions and multi-item auctions with unit-demand or additive valuation functions, we prove tight upper-bounds via efficient query schemes, without requiring the distributions to be regular or have monotone hazard rate. Thus, in those auction settings the seller needs to access much less than the full distributions in order to achieve approximately optimal revenue
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