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Recent developments in prophet inequalities
The classic prophet inequality states that, when faced with a finite sequence of non-negative
independent random variables, a gambler who knows their distribution and is allowed to …
independent random variables, a gambler who knows their distribution and is allowed to …
Online matching: A brief survey
Matching, capturing allocation of items to unit-demand buyers, or tasks to workers, or pairs of
collaborators, is a central problem in economics. Indeed, the growing prevalence of …
collaborators, is a central problem in economics. Indeed, the growing prevalence of …
Online Dependent Rounding Schemes for Bipartite Matchings, with
We introduce the abstract problem of rounding an unknown fractional bipartite b-matching x
revealed online (eg, output by an online fractional algorithm), exposed node-by-node on …
revealed online (eg, output by an online fractional algorithm), exposed node-by-node on …
Multi-agent contracts
We study a natural combinatorial single-principal multi-agent contract design problem, in
which a principal motivates a team of agents to exert effort toward a given task. At the heart …
which a principal motivates a team of agents to exert effort toward a given task. At the heart …
A statistical learning approach to personalization in revenue management
We consider a logit model-based framework for modeling joint pricing and assortment
decisions that take into account customer features. This model provides a significant …
decisions that take into account customer features. This model provides a significant …
Prophet secretary for combinatorial auctions and matroids
The secretary and the prophet inequality problems are central to the field of Stop**
Theory. Recently, there has been a lot of work in generalizing these models to multiple items …
Theory. Recently, there has been a lot of work in generalizing these models to multiple items …
A constant factor prophet inequality for online combinatorial auctions
In online combinatorial auctions m indivisible items are to be allocated to n agents who
arrive online. Agents have random valuations for the different subsets of items and the goal …
arrive online. Agents have random valuations for the different subsets of items and the goal …
Simple versus optimal contracts
We consider the classic principal-agent model of contract theory, in which a principal
designs an outcome-dependent compensation scheme to incentivize an agent to take a …
designs an outcome-dependent compensation scheme to incentivize an agent to take a …
Prophet secretary through blind strategies
In the classic prophet inequality, a well-known problem in optimal stop** theory, samples
from independent random variables (possibly differently distributed) arrive online. A gambler …
from independent random variables (possibly differently distributed) arrive online. A gambler …
The bayesian prophet: A low-regret framework for online decision making
Motivated by the success of using black-box predictive algorithms as subroutines for online
decision-making, we develop a new framework for designing online policies given access to …
decision-making, we develop a new framework for designing online policies given access to …