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Related papers: Hallucinating Flows for Optimal Mechanisms

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We propose a scalable, distributed algorithm for the optimal transport of large-scale multi-agent systems. We formulate the problem as one of steering the collective towards a target probability measure while minimizing the total cost of…

Optimization and Control · Mathematics 2024-09-10 Vishaal Krishnan , Sonia Martínez

We study how to maximize the broker's (expected) profit in a two-sided market, where she buys items from a set of sellers and resells them to a set of buyers. Each seller has a single item to sell and holds a private value on her item, and…

Computer Science and Game Theory · Computer Science 2019-05-24 Jing Chen , Bo Li , Yingkai Li

Diffusion auction design is a new trend in mechanism design for which the main goal is to incentivize existing buyers to invite new buyers, who are their neighbors on a social network, to join an auction even though they are competitors.…

Computer Science and Game Theory · Computer Science 2024-08-26 Yao Zhang , Shanshan Zheng , Dengji Zhao

This paper studies mechanism design for revenue maximization in a distribution-reporting setting, where the auctioneer does not know the buyers' true value distributions. Instead, each buyer reports and commits to a bid distribution in the…

Computer Science and Game Theory · Computer Science 2025-07-08 Xiaotie Deng , Yanru Guan , Ningyuan Li , Zihe Wang , Jie Zhang

We provide algorithms that learn simple auctions whose revenue is approximately optimal in multi-item multi-bidder settings, for a wide range of valuations including unit-demand, additive, constrained additive, XOS, and subadditive. We…

Computer Science and Game Theory · Computer Science 2017-09-04 Yang Cai , Constantinos Daskalakis

We consider the problem of designing an expected-revenue maximizing mechanism for allocating multiple non-perishable goods of $k$ varieties to flexible consumers over $T$ time steps. In our model, a random number of goods of each variety…

Computer Science and Game Theory · Computer Science 2020-07-08 Shiva Navabi , Ashutosh Nayyar

Myerson derived a simple and elegant solution to the single-parameter revenue-maximization problem in his seminal work on optimal auction design assuming the usual model of quasi-linear utilities. In this paper, we consider a slight…

Computer Science and Game Theory · Computer Science 2016-01-27 Amy Greenwald , Takehiro Oyakawa , Vasilis Syrgkanis

We consider two canonical Bayesian mechanism design settings. In the single-item setting, we prove tight approximation ratio for anonymous pricing: compared with Myerson Auction, it extracts at least $\frac{1}{2.62}$-fraction of revenue;…

Computer Science and Game Theory · Computer Science 2018-11-05 Yaonan Jin , Pinyan Lu , Qi Qi , Zhihao Gavin Tang , Tao Xiao

This study introduces an optimal mechanism in a dynamic stochastic knapsack environment. The model features a single seller who has a fixed quantity of a perfectly divisible item. Impatient buyers with a piece-wise linear utility function…

Computer Science and Game Theory · Computer Science 2024-02-23 Jihyeok Jung , Chan-Oi Song , Deok-Joo Lee , Kiho Yoon

Allocation of dynamically-arriving (i.e., online) divisible resources among a set of offline agents is a fundamental problem, with applications to online marketplaces, scheduling, portfolio selection, signal processing, and many other…

Data Structures and Algorithms · Computer Science 2026-03-31 Siddhartha Banerjee , Ramiro N. Deo-Campo Vuong , Robert Kleinberg

The current art in optimal combinatorial auctions is limited to handling the case of single units of multiple items, with each bidder bidding on exactly one bundle (single minded bidders). This paper extends the current art by proposing an…

Computer Science and Game Theory · Computer Science 2010-04-27 Sujit Gujar , Y Narahari

The paper proves convergence to global optima for a class of distributed algorithms for nonconvex optimization in network-based multi-agent settings. Agents are permitted to communicate over a time-varying undirected graph. Each agent is…

Optimization and Control · Mathematics 2019-03-19 Brian Swenson , Soummya Kar , H. Vincent Poor , Jose' M. F. Moura

In the multi-unit pricing problem, multiple units of a single item are for sale. A buyer's valuation for $n$ units of the item is $v \min \{ n, d\} $, where the per unit valuation $v$ and the capacity $d$ are private information of the…

Computer Science and Game Theory · Computer Science 2017-04-18 Nikhil R. Devanur , Nima Haghpanah , Christos-Alexandros Psomas

We study multi-buyer multi-item sequential item pricing mechanisms for revenue maximization with the goal of approximating a natural fractional relaxation -- the ex ante optimal revenue. We assume that buyers' values are subadditive but…

Computer Science and Game Theory · Computer Science 2024-04-24 Shuchi Chawla , Dimitris Christou , Trung Dang , Zhiyi Huang , Gregory Kehne , Rojin Rezvan

We provide a unified view of many recent developments in Bayesian mechanism design, including the black-box reductions of Cai et al. [CDW13b], simple auctions for additive buyers [HN12], and posted-price mechanisms for unit-demand bidders…

Computer Science and Game Theory · Computer Science 2018-12-05 Yang Cai , Nikhil R. Devanur , S. Matthew Weinberg

In this paper, we present the first approximation algorithms for the problem of designing revenue optimal Bayesian incentive compatible auctions when there are multiple (heterogeneous) items and when bidders can have arbitrary demand and…

Computer Science and Game Theory · Computer Science 2010-03-30 Sayan Bhattacharya , Gagan Goel , Sreenivas Gollapudi , Kamesh Munagala

For Bayesian combinatorial auctions, we present a general framework for approximately reducing the mechanism design problem for multiple buyers to single buyer sub-problems. Our framework can be applied to any setting which roughly…

Computer Science and Game Theory · Computer Science 2012-06-18 Saeed Alaei

The problem of designing a profit-maximizing, Bayesian incentive compatible and individually rational mechanism with flexible consumers and costly heterogeneous supply is considered. In our setup, each consumer is associated with a…

Computer Science and Game Theory · Computer Science 2018-02-01 Shiva Navabi , Ashutosh Nayyar

This paper studies a joint design problem where a seller can design both the signal structures for the agents to learn their values, and the allocation and payment rules for selling the item. In his seminal work, Myerson (1981) shows how to…

Computer Science and Game Theory · Computer Science 2024-03-14 Yang Cai , Yingkai Li , Jinzhao Wu

We consider the problem of a revenue-maximizing seller with m items for sale to n additive bidders with hard budget constraints, assuming that the seller has some prior distribution over bidder values and budgets. The prior may be…

Computer Science and Game Theory · Computer Science 2016-05-09 Constantinos Daskalakis , Nikhil R. Devanur , S. Matthew Weinberg