首页 > 最新文献

Workshop on Internet and Network Economics最新文献

英文 中文
Information Design in Allocation with Costly Verification 具有高成本验证的配置信息设计
Pub Date : 2022-10-28 DOI: 10.2139/ssrn.4245445
Yi-Chun Chen, Gaoji Hu, Xiangqian Yang
A principal who values an object allocates it to one or more agents. Agents learn private information (signals) from an information designer about the allocation payoff to the principal. Monetary transfer is not available but the principal can costly verify agents' private signals. The information designer can influence the agents' signal distributions, based upon which the principal maximizes the allocation surplus. An agent's utility is simply the probability of obtaining the good. With a single agent, we characterize (i) the agent-optimal information, (ii) the principal-worst information, and (iii) the principal-optimal information. Even though the objectives of the principal and the agent are not directly comparable, we find that any agent-optimal information is principal-worst. Moreover, there exists a robust mechanism that achieves the principal's payoff under (ii), which is therefore an optimal robust mechanism. Many of our results extend to the multiple-agent case; if not, we provide counterexamples.
对对象赋值的主体将其分配给一个或多个代理。代理从信息设计者那里学习关于委托人分配收益的私有信息(信号)。货币转移是不可用的,但委托人可以昂贵地验证代理的私有信号。信息设计者可以影响代理的信号分配,委托人在此基础上最大化分配剩余。代理人的效用就是获得该商品的概率。对于单个代理,我们描述(i)代理最优信息,(ii)委托人最坏信息,(iii)委托人最优信息。尽管委托人和代理人的目标不具有直接可比性,但我们发现任何代理人的最优信息都是委托人的最差信息。而且,在(ii)条件下存在实现本金收益的稳健机制,因此是最优稳健机制。我们的许多结果延伸到多主体情况;如果不是,我们提供反例。
{"title":"Information Design in Allocation with Costly Verification","authors":"Yi-Chun Chen, Gaoji Hu, Xiangqian Yang","doi":"10.2139/ssrn.4245445","DOIUrl":"https://doi.org/10.2139/ssrn.4245445","url":null,"abstract":"A principal who values an object allocates it to one or more agents. Agents learn private information (signals) from an information designer about the allocation payoff to the principal. Monetary transfer is not available but the principal can costly verify agents' private signals. The information designer can influence the agents' signal distributions, based upon which the principal maximizes the allocation surplus. An agent's utility is simply the probability of obtaining the good. With a single agent, we characterize (i) the agent-optimal information, (ii) the principal-worst information, and (iii) the principal-optimal information. Even though the objectives of the principal and the agent are not directly comparable, we find that any agent-optimal information is principal-worst. Moreover, there exists a robust mechanism that achieves the principal's payoff under (ii), which is therefore an optimal robust mechanism. Many of our results extend to the multiple-agent case; if not, we provide counterexamples.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123912903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Beyond the Worst Case: Semi-Random Complexity Analysis of Winner Determination 超越最坏情况:赢家决定的半随机复杂性分析
Pub Date : 2022-10-15 DOI: 10.48550/arXiv.2210.08173
Lirong Xia, Weiqiang Zheng
The computational complexity of winner determination is a classical and important problem in computational social choice. Previous work based on worst-case analysis has established NP-hardness of winner determination for some classic voting rules, such as Kemeny, Dodgson, and Young. In this paper, we revisit the classical problem of winner determination through the lens of semi-random analysis , which is a worst average-case analysis where the preferences are generated from a distribution chosen by the adversary. Under a natural class of semi-random models that are inspired by recommender systems, we prove that winner determination remains hard for Dodgson, Young, and some multi-winner rules such as the Chamberlin-Courant rule and the Monroe rule. Under another natural class of semi-random models that are extensions of the Impartial Culture, we show that winner determination is hard for Kemeny, but is easy for Dodgson. This illustrates an interesting separation between Kemeny and Dodgson. ,
赢家确定的计算复杂度是计算社会选择中的一个经典而重要的问题。先前基于最坏情况分析的工作已经为一些经典的投票规则(如Kemeny, doddgson和Young)建立了获胜者确定的np -硬度。在本文中,我们通过半随机分析的镜头重新审视了经典的赢家确定问题,这是一种最差平均情况分析,其中偏好是由对手选择的分布产生的。在一类受推荐系统启发的自然半随机模型下,我们证明了Dodgson, Young和一些多赢家规则(如Chamberlin-Courant规则和Monroe规则)仍然难以确定赢家。在作为公正文化延伸的另一类自然的半随机模型下,我们证明了对Kemeny来说很难确定赢家,而对doddgson来说很容易。这说明了凯梅尼和道奇森之间一个有趣的区别。,
{"title":"Beyond the Worst Case: Semi-Random Complexity Analysis of Winner Determination","authors":"Lirong Xia, Weiqiang Zheng","doi":"10.48550/arXiv.2210.08173","DOIUrl":"https://doi.org/10.48550/arXiv.2210.08173","url":null,"abstract":"The computational complexity of winner determination is a classical and important problem in computational social choice. Previous work based on worst-case analysis has established NP-hardness of winner determination for some classic voting rules, such as Kemeny, Dodgson, and Young. In this paper, we revisit the classical problem of winner determination through the lens of semi-random analysis , which is a worst average-case analysis where the preferences are generated from a distribution chosen by the adversary. Under a natural class of semi-random models that are inspired by recommender systems, we prove that winner determination remains hard for Dodgson, Young, and some multi-winner rules such as the Chamberlin-Courant rule and the Monroe rule. Under another natural class of semi-random models that are extensions of the Impartial Culture, we show that winner determination is hard for Kemeny, but is easy for Dodgson. This illustrates an interesting separation between Kemeny and Dodgson. ,","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"os-39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127777514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Better Approximation for Interdependent SOS Valuations 相互依赖的SOS估值的更好逼近
Pub Date : 2022-10-12 DOI: 10.48550/arXiv.2210.06507
P. Lu, Enze Sun, Chenghan Zhou
Submodular over signal (SOS) defines a family of interesting functions for which there exist truthful mechanisms with constant approximation to the social welfare for agents with interdependent valuations. The best-known truthful auction is of $4$-approximation and a lower bound of 2 was proved. We propose a new and simple truthful mechanism to achieve an approximation ratio of 3.315.
信号上的子模(SOS)定义了一组有趣的函数,这些函数存在真实的机制,对具有相互依赖估值的代理具有恒定的近似社会福利。最著名的真实拍卖是4美元的近似,并证明了下界为2。我们提出了一个新的简单的真实机制来实现3.315的近似比率。
{"title":"Better Approximation for Interdependent SOS Valuations","authors":"P. Lu, Enze Sun, Chenghan Zhou","doi":"10.48550/arXiv.2210.06507","DOIUrl":"https://doi.org/10.48550/arXiv.2210.06507","url":null,"abstract":"Submodular over signal (SOS) defines a family of interesting functions for which there exist truthful mechanisms with constant approximation to the social welfare for agents with interdependent valuations. The best-known truthful auction is of $4$-approximation and a lower bound of 2 was proved. We propose a new and simple truthful mechanism to achieve an approximation ratio of 3.315.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121762803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Online Team Formation under Different Synergies 不同协同效应下的网络团队组建
Pub Date : 2022-10-11 DOI: 10.48550/arXiv.2210.05795
Matthew Eichhorn, Siddhartha Banerjee, D. Kempe
Team formation is ubiquitous in many sectors: education, labor markets, sports, etc. A team’s success depends on its members’ latent types, which are not directly observable but can be (partially) inferred from past performances. From the viewpoint of a principal trying to select teams, this leads to a natural exploration-exploitation trade-off: retain successful teams that are discovered early, or reassign agents to learn more about their types? We study a natural model for online team formation, where a principal repeatedly partitions a group of agents into teams. Agents have binary latent types, each team comprises two members, and a team’s performance is a symmetric function of its members’ types. Over multiple rounds, the principal selects matchings over agents and incurs regret equal to the deficit in the number of successful teams versus the optimal matching for the given function. Our work provides a complete characterization of the regret landscape for all symmetric functions of two binary inputs. In particular, we develop team-selection policies that, despite being agnostic of model parameters, achieve optimal or near-optimal regret against an adaptive adversary.
团队组建在很多领域都很普遍:教育、劳动力市场、体育等。一个团队的成功取决于其成员的潜在类型,这种类型不能直接观察到,但可以(部分地)从过去的表现中推断出来。从委托人试图选择团队的角度来看,这导致了一种自然的探索-开发权衡:保留早期发现的成功团队,或者重新分配代理以更多地了解他们的类型?我们研究了一个在线团队形成的自然模型,其中一个主体重复地将一组代理划分为团队。智能体具有二元潜在类型,每个团队由两名成员组成,团队绩效是其成员类型的对称函数。在多个回合中,委托人在代理人中选择匹配,并且导致后悔等于成功团队数量与给定函数的最优匹配数量的差额。我们的工作提供了两个二进制输入的所有对称函数的遗憾景观的完整表征。特别是,我们开发了团队选择策略,尽管不知道模型参数,但在对抗自适应对手时实现了最优或接近最优后悔。
{"title":"Online Team Formation under Different Synergies","authors":"Matthew Eichhorn, Siddhartha Banerjee, D. Kempe","doi":"10.48550/arXiv.2210.05795","DOIUrl":"https://doi.org/10.48550/arXiv.2210.05795","url":null,"abstract":"Team formation is ubiquitous in many sectors: education, labor markets, sports, etc. A team’s success depends on its members’ latent types, which are not directly observable but can be (partially) inferred from past performances. From the viewpoint of a principal trying to select teams, this leads to a natural exploration-exploitation trade-off: retain successful teams that are discovered early, or reassign agents to learn more about their types? We study a natural model for online team formation, where a principal repeatedly partitions a group of agents into teams. Agents have binary latent types, each team comprises two members, and a team’s performance is a symmetric function of its members’ types. Over multiple rounds, the principal selects matchings over agents and incurs regret equal to the deficit in the number of successful teams versus the optimal matching for the given function. Our work provides a complete characterization of the regret landscape for all symmetric functions of two binary inputs. In particular, we develop team-selection policies that, despite being agnostic of model parameters, achieve optimal or near-optimal regret against an adaptive adversary.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128226244","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Auditing for Core Stability in Participatory Budgeting 参与式预算核心稳定性的审计
Pub Date : 2022-09-28 DOI: 10.48550/arXiv.2209.14468
Kamesh Munagala, Yiheng Shen, Kangning Wang
We consider the participatory budgeting problem where each of $n$ voters specifies additive utilities over $m$ candidate projects with given sizes, and the goal is to choose a subset of projects (i.e., a committee) with total size at most $k$. Participatory budgeting mathematically generalizes multiwinner elections, and both have received great attention in computational social choice recently. A well-studied notion of group fairness in this setting is core stability: Each voter is assigned an"entitlement"of $frac{k}{n}$, so that a subset $S$ of voters can pay for a committee of size at most $|S| cdot frac{k}{n}$. A given committee is in the core if no subset of voters can pay for another committee that provides each of them strictly larger utility. This provides proportional representation to all voters in a strong sense. In this paper, we study the following auditing question: Given a committee computed by some preference aggregation method, how close is it to the core? Concretely, how much does the entitlement of each voter need to be scaled down by, so that the core property subsequently holds? As our main contribution, we present computational hardness results for this problem, as well as a logarithmic approximation algorithm via linear program rounding. We show that our analysis is tight against the linear programming bound. Additionally, we consider two related notions of group fairness that have similar audit properties. The first is Lindahl priceability, which audits the closeness of a committee to a market clearing solution. We show that this is related to the linear programming relaxation of auditing the core, leading to efficient exact and approximation algorithms for auditing. The second is a novel weakening of the core that we term the sub-core, and we present computational results for auditing this notion as well.
我们考虑参与式预算问题,其中每个$n$选民指定给定规模的$m$候选项目的附加效用,目标是选择总规模最多为$k$的项目子集(即委员会)。参与式预算在数学上概括了多赢家选举,两者都是近年来计算社会选择研究的热点。在这种情况下,一个被充分研究的群体公平概念是核心稳定性:每个选民被分配一个$frac{k}{n}$的“权利”,这样选民的一个子集$S$可以为一个规模最多$|S| cdot frac{k}{n}$的委员会买单。如果没有选民子集能够为另一个为他们每个人提供更大效用的委员会付费,那么该委员会就是核心委员会。这在很大程度上为所有选民提供了比例代表制。本文研究了以下审计问题:给定一个用偏好聚合法计算的委员会,它离核心有多近?具体来说,每个选民的权利需要缩减多少,才能使核心财产随后保持不变?作为我们的主要贡献,我们提出了这个问题的计算硬度结果,以及通过线性程序舍入的对数近似算法。我们证明了我们的分析对线性规划界是严格的。此外,我们还考虑了具有相似审计属性的两个相关的组公平性概念。第一个指标是林达尔可定价性(Lindahl priceability),它审计委员会与市场清算解决方案的接近程度。我们表明,这与审计核心的线性规划松弛有关,导致审计的有效精确和近似算法。第二种是核心的一种新的弱化,我们称之为子核心,我们也给出了审计这个概念的计算结果。
{"title":"Auditing for Core Stability in Participatory Budgeting","authors":"Kamesh Munagala, Yiheng Shen, Kangning Wang","doi":"10.48550/arXiv.2209.14468","DOIUrl":"https://doi.org/10.48550/arXiv.2209.14468","url":null,"abstract":"We consider the participatory budgeting problem where each of $n$ voters specifies additive utilities over $m$ candidate projects with given sizes, and the goal is to choose a subset of projects (i.e., a committee) with total size at most $k$. Participatory budgeting mathematically generalizes multiwinner elections, and both have received great attention in computational social choice recently. A well-studied notion of group fairness in this setting is core stability: Each voter is assigned an\"entitlement\"of $frac{k}{n}$, so that a subset $S$ of voters can pay for a committee of size at most $|S| cdot frac{k}{n}$. A given committee is in the core if no subset of voters can pay for another committee that provides each of them strictly larger utility. This provides proportional representation to all voters in a strong sense. In this paper, we study the following auditing question: Given a committee computed by some preference aggregation method, how close is it to the core? Concretely, how much does the entitlement of each voter need to be scaled down by, so that the core property subsequently holds? As our main contribution, we present computational hardness results for this problem, as well as a logarithmic approximation algorithm via linear program rounding. We show that our analysis is tight against the linear programming bound. Additionally, we consider two related notions of group fairness that have similar audit properties. The first is Lindahl priceability, which audits the closeness of a committee to a market clearing solution. We show that this is related to the linear programming relaxation of auditing the core, leading to efficient exact and approximation algorithms for auditing. The second is a novel weakening of the core that we term the sub-core, and we present computational results for auditing this notion as well.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"531 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133400370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Truthful Generalized Linear Models 真实的广义线性模型
Pub Date : 2022-09-16 DOI: 10.48550/arXiv.2209.07815
Yuan Qiu, Jinyan Liu, Di Wang
In this paper we study estimating Generalized Linear Models (GLMs) in the case where the agents (individuals) are strategic or self-interested and they concern about their privacy when reporting data. Compared with the classical setting, here we aim to design mechanisms that can both incentivize most agents to truthfully report their data and preserve the privacy of individuals' reports, while their outputs should also close to the underlying parameter. In the first part of the paper, we consider the case where the covariates are sub-Gaussian and the responses are heavy-tailed where they only have the finite fourth moments. First, motivated by the stationary condition of the maximizer of the likelihood function, we derive a novel private and closed form estimator. Based on the estimator, we propose a mechanism which has the following properties via some appropriate design of the computation and payment scheme for several canonical models such as linear regression, logistic regression and Poisson regression: (1) the mechanism is $o(1)$-jointly differentially private (with probability at least $1-o(1)$); (2) it is an $o(frac{1}{n})$-approximate Bayes Nash equilibrium for a $(1-o(1))$-fraction of agents to truthfully report their data, where $n$ is the number of agents; (3) the output could achieve an error of $o(1)$ to the underlying parameter; (4) it is individually rational for a $(1-o(1))$ fraction of agents in the mechanism ; (5) the payment budget required from the analyst to run the mechanism is $o(1)$. In the second part, we consider the linear regression model under more general setting where both covariates and responses are heavy-tailed and only have finite fourth moments. By using an $ell_4$-norm shrinkage operator, we propose a private estimator and payment scheme which have similar properties as in the sub-Gaussian case.
在本文中,我们研究广义线性模型(GLMs)在代理(个体)是战略性的或自利的,并且他们在报告数据时关心他们的隐私的情况下的估计。与经典设置相比,这里我们的目标是设计一种机制,既能激励大多数代理如实报告数据,又能保护个人报告的隐私,同时它们的输出也应该接近底层参数。在本文的第一部分中,我们考虑了协变量是亚高斯的,响应是重尾的情况,其中它们只有有限的第四阶矩。首先,利用似然函数最大值的平稳条件,推导出一种新的私有封闭估计量。在此估计量的基础上,通过对线性回归、逻辑回归和泊松回归等几种典型模型的计算和支付方案的适当设计,提出了一种具有以下性质的机制:(1)该机制为$ 0(1)$-联合差分私有(概率至少为$1-o(1)$);(2)对于一个$(1- 0(1))$分数的智能体如实报告其数据的$ 0 (frac{1}{n})$-近似贝叶斯纳什均衡,其中$n$为智能体的数量;(3)输出对底层参数的误差可以达到$ 0 (1)$;(4)对于机制中$(1- 0(1))$部分的agent,它是单独有理的;(5)分析师运行该机制所需的支付预算为$ 0(1)$。在第二部分中,我们考虑了更一般情况下的线性回归模型,其中协变量和响应都是重尾的,只有有限的第四阶矩。通过使用$ell_4$范数收缩算子,我们提出了一个与亚高斯情况相似的私有估计器和支付方案。
{"title":"Truthful Generalized Linear Models","authors":"Yuan Qiu, Jinyan Liu, Di Wang","doi":"10.48550/arXiv.2209.07815","DOIUrl":"https://doi.org/10.48550/arXiv.2209.07815","url":null,"abstract":"In this paper we study estimating Generalized Linear Models (GLMs) in the case where the agents (individuals) are strategic or self-interested and they concern about their privacy when reporting data. Compared with the classical setting, here we aim to design mechanisms that can both incentivize most agents to truthfully report their data and preserve the privacy of individuals' reports, while their outputs should also close to the underlying parameter. In the first part of the paper, we consider the case where the covariates are sub-Gaussian and the responses are heavy-tailed where they only have the finite fourth moments. First, motivated by the stationary condition of the maximizer of the likelihood function, we derive a novel private and closed form estimator. Based on the estimator, we propose a mechanism which has the following properties via some appropriate design of the computation and payment scheme for several canonical models such as linear regression, logistic regression and Poisson regression: (1) the mechanism is $o(1)$-jointly differentially private (with probability at least $1-o(1)$); (2) it is an $o(frac{1}{n})$-approximate Bayes Nash equilibrium for a $(1-o(1))$-fraction of agents to truthfully report their data, where $n$ is the number of agents; (3) the output could achieve an error of $o(1)$ to the underlying parameter; (4) it is individually rational for a $(1-o(1))$ fraction of agents in the mechanism ; (5) the payment budget required from the analyst to run the mechanism is $o(1)$. In the second part, we consider the linear regression model under more general setting where both covariates and responses are heavy-tailed and only have finite fourth moments. By using an $ell_4$-norm shrinkage operator, we propose a private estimator and payment scheme which have similar properties as in the sub-Gaussian case.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129989306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring the Tradeoff between Competitive Ratio and Variance in Online-Matching Markets 在线匹配市场竞争比率与差异权衡研究
Pub Date : 2022-09-15 DOI: 10.48550/arXiv.2209.07580
Pan Xu
. In this paper, we propose an online-matching-based model to study the assignment problems arising in a wide range of online-matching markets, including online recommendations, ride-hailing platforms, and crowdsourcing markets. It features that each assignment can request a random set of resources and yield a random utility, and the two (cost and utility) can be arbitrarily correlated with each other. We present two linear-programming-based parameterized policies to study the tradeoff between the competitive ratio (CR) on the total utilities and the variance on the total number of matches (unweighted version). The first one (SAMP) is simply to sample an edge according to the distribution extracted from the clairvoyant optimal, while the second (ATT) features a time-adaptive attenuation framework that leads to an improvement over the state-of-the-art competitive-ratio result. We also consider the problem under a large-budget assumption and show that SAMP achieves asymptotically optimal performance in terms of competitive ratio.
. 在本文中,我们提出了一个基于在线匹配的模型来研究广泛的在线匹配市场中出现的分配问题,包括在线推荐、网约车平台和众包市场。它的特点是每个分配可以请求一组随机的资源并产生一个随机的效用,并且两者(成本和效用)可以任意地相互关联。我们提出了两种基于线性规划的参数化策略来研究总效用的竞争比(CR)和总匹配数方差(未加权版本)之间的权衡。第一种方法(SAMP)只是根据从洞察力最优中提取的分布对边缘进行采样,而第二种方法(ATT)具有时间自适应衰减框架,可以改善最先进的竞争比结果。我们还考虑了大预算假设下的问题,并证明了SAMP在竞争比方面达到了渐近最优性能。
{"title":"Exploring the Tradeoff between Competitive Ratio and Variance in Online-Matching Markets","authors":"Pan Xu","doi":"10.48550/arXiv.2209.07580","DOIUrl":"https://doi.org/10.48550/arXiv.2209.07580","url":null,"abstract":". In this paper, we propose an online-matching-based model to study the assignment problems arising in a wide range of online-matching markets, including online recommendations, ride-hailing platforms, and crowdsourcing markets. It features that each assignment can request a random set of resources and yield a random utility, and the two (cost and utility) can be arbitrarily correlated with each other. We present two linear-programming-based parameterized policies to study the tradeoff between the competitive ratio (CR) on the total utilities and the variance on the total number of matches (unweighted version). The first one (SAMP) is simply to sample an edge according to the distribution extracted from the clairvoyant optimal, while the second (ATT) features a time-adaptive attenuation framework that leads to an improvement over the state-of-the-art competitive-ratio result. We also consider the problem under a large-budget assumption and show that SAMP achieves asymptotically optimal performance in terms of competitive ratio.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125004443","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nash Welfare Guarantees for Fair and Efficient Coverage 公平和有效覆盖的纳什福利保障
Pub Date : 2022-07-05 DOI: 10.48550/arXiv.2207.01970
Siddharth Barman, Anand Krishna, Y. Narahari, Soumya Sadhukhan
We study coverage problems in which, for a set of agents and a given threshold $T$, the goal is to select $T$ subsets (of the agents) that, while satisfying combinatorial constraints, achieve fair and efficient coverage among the agents. In this setting, the valuation of each agent is equated to the number of selected subsets that contain it, plus one. The current work utilizes the Nash social welfare function to quantify the extent of fairness and collective efficiency. We develop a polynomial-time $left(18 + o(1) right)$-approximation algorithm for maximizing Nash social welfare in coverage instances. Our algorithm applies to all instances wherein, for the underlying combinatorial constraints, there exists an FPTAS for weight maximization. We complement the algorithmic result by proving that Nash social welfare maximization is APX-hard in coverage instances.
我们研究的覆盖问题是,对于一组智能体和给定的阈值$T$,目标是选择$T$子集(智能体的子集),在满足组合约束的同时,在智能体之间实现公平和有效的覆盖。在此设置中,每个代理的估值等于包含它的选定子集的数量加上1。本文利用纳什社会福利函数来量化公平程度和集体效率。我们开发了一个多项式时间$左(18 + o(1) 右)$-近似算法来最大化覆盖实例中的纳什社会福利。我们的算法适用于所有实例,其中,对于潜在的组合约束,存在一个权重最大化的FPTAS。我们通过证明纳什社会福利最大化在覆盖实例中是apx困难来补充算法结果。
{"title":"Nash Welfare Guarantees for Fair and Efficient Coverage","authors":"Siddharth Barman, Anand Krishna, Y. Narahari, Soumya Sadhukhan","doi":"10.48550/arXiv.2207.01970","DOIUrl":"https://doi.org/10.48550/arXiv.2207.01970","url":null,"abstract":"We study coverage problems in which, for a set of agents and a given threshold $T$, the goal is to select $T$ subsets (of the agents) that, while satisfying combinatorial constraints, achieve fair and efficient coverage among the agents. In this setting, the valuation of each agent is equated to the number of selected subsets that contain it, plus one. The current work utilizes the Nash social welfare function to quantify the extent of fairness and collective efficiency. We develop a polynomial-time $left(18 + o(1) right)$-approximation algorithm for maximizing Nash social welfare in coverage instances. Our algorithm applies to all instances wherein, for the underlying combinatorial constraints, there exists an FPTAS for weight maximization. We complement the algorithmic result by proving that Nash social welfare maximization is APX-hard in coverage instances.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"213 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133574736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Improved Approximation to First-Best Gains-from-Trade 第一最佳贸易收益的改进近似
Pub Date : 2022-04-30 DOI: 10.48550/arXiv.2205.00140
Yu Fei
We study the two-agent single-item bilateral trade. Ideally, the trade should happen whenever the buyer's value for the item exceeds the seller's cost. However, the classical result of Myerson and Satterthwaite showed that no mechanism can achieve this without violating one of the Bayesian incentive compatibility, individual rationality and weakly balanced budget conditions. This motivates the study of approximating the trade-whenever-socially-beneficial mechanism, in terms of the expected gains-from-trade. Recently, Deng, Mao, Sivan, and Wang showed that the random-offerer mechanism achieves at least a 1/8.23 approximation. We improve this lower bound to 1/3.15 in this paper. We also determine the exact worst-case approximation ratio of the seller-pricing mechanism assuming the distribution of the buyer's value satisfies the monotone hazard rate property.
本文研究双代理单品双边贸易。理想情况下,交易应该发生在买方对该物品的价值超过卖方成本的时候。然而,Myerson和Satterthwaite的经典结果表明,任何机制都不可能在不违反贝叶斯激励相容、个人理性和弱平衡预算条件的情况下实现这一目标。这就促使人们根据贸易的预期收益来研究“只要对社会有利就进行贸易”的近似机制。本文将该下界改进为1/3.15。假设买方价值的分布满足单调风险率性质,我们还确定了卖方定价机制的确切最坏情况近似比。
{"title":"Improved Approximation to First-Best Gains-from-Trade","authors":"Yu Fei","doi":"10.48550/arXiv.2205.00140","DOIUrl":"https://doi.org/10.48550/arXiv.2205.00140","url":null,"abstract":"We study the two-agent single-item bilateral trade. Ideally, the trade should happen whenever the buyer's value for the item exceeds the seller's cost. However, the classical result of Myerson and Satterthwaite showed that no mechanism can achieve this without violating one of the Bayesian incentive compatibility, individual rationality and weakly balanced budget conditions. This motivates the study of approximating the trade-whenever-socially-beneficial mechanism, in terms of the expected gains-from-trade. Recently, Deng, Mao, Sivan, and Wang showed that the random-offerer mechanism achieves at least a 1/8.23 approximation. We improve this lower bound to 1/3.15 in this paper. We also determine the exact worst-case approximation ratio of the seller-pricing mechanism assuming the distribution of the buyer's value satisfies the monotone hazard rate property.","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130732813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Insightful Mining Equilibria 深刻的采矿均衡
Pub Date : 2022-02-17 DOI: 10.1007/978-3-031-22832-2_2
Mengqian Zhang, Yuhao Li, Jichen Li, Chaozhe Kong, Xiaotie Deng
{"title":"Insightful Mining Equilibria","authors":"Mengqian Zhang, Yuhao Li, Jichen Li, Chaozhe Kong, Xiaotie Deng","doi":"10.1007/978-3-031-22832-2_2","DOIUrl":"https://doi.org/10.1007/978-3-031-22832-2_2","url":null,"abstract":"","PeriodicalId":192438,"journal":{"name":"Workshop on Internet and Network Economics","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134452193","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Workshop on Internet and Network Economics
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1