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In this invited book chapter, we draw the reader to a brief review of the different Kinetic Exchange Models (KEMs) that have gradually developed for markets and how they can be employed to quantitatively study inequalities (the Gini Index…

Physics and Society · Physics 2023-10-31 Sanjukta Paul , Bikas K. Chakrabarti

Gini index is a widely used measure of economic inequality. This article develops a general theory for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width. Fixed sample size…

Methodology · Statistics 2017-09-21 Bhargab Chattopadhyay , Shyamal Krishna De

The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

Combinatorics · Mathematics 2022-02-01 Grant Kopitzke

We study the problem of computing maximin share guarantees, a recently introduced fairness notion. Given a set of $n$ agents and a set of goods, the maximin share of a single agent is the best that she can guarantee to herself, if she would…

Computer Science and Game Theory · Computer Science 2018-06-12 Georgios Amanatidis , Evangelos Markakis , Afshin Nikzad , Amin Saberi

We present an example where a distributed coordinated protocol supported by a blockchain-enabled monetary mechanism leads to achieving optimal information theoretic degrees of freedom gains. The considered setting is that of a linear…

Information Theory · Computer Science 2018-08-07 Aly El Gamal , Hesham El Gamal

The autobidding system generates huge revenue for advertising platforms, garnering substantial research attention. Existing studies in autobidding systems focus on designing Autobidding Incentive Compatible (AIC) mechanisms, where the…

Computer Science and Game Theory · Computer Science 2024-11-21 Bingzhe Wang , Ruohan Qian , Yuejia Dou , Qi Qi , Bo Shen , Changyuan Li , Yixuan Zhang , Yixin Su , Xin Yuan , Wenqiang liu , Bin Zou , Wen Yi , Zhi Guo , Shuanglong Li , Liu Lin

Market makers provide liquidity to other market participants: they propose prices at which they stand ready to buy and sell a wide variety of assets. They face a complex optimization problem with both static and dynamic components. They…

Trading and Market Microstructure · Quantitative Finance 2017-05-09 Olivier Guéant

The Gini index is a function that attempts to measure the amount of inequality in the distribution of a finite resource throughout a population. It is commonly used in economics as a measure of inequality of income or wealth. We define a…

Representation Theory · Mathematics 2023-05-23 Grant Kopitzke

We study the mechanism design problem of selling $k$ items to unit-demand buyers with private valuations for the items. A buyer either participates directly in the auction or is represented by an intermediary, who represents a subset of…

Computer Science and Game Theory · Computer Science 2021-11-23 Gagan Aggarwal , Kshipra Bhawalkar , Guru Guruganesh , Andres Perlroth

Modeling equity in the allocation of scarce resources is a fast-growing concern in the humanitarian logistics field. The Gini coefficient is one of the most widely recognized measures of inequity and it was originally characterized by means…

Optimization and Control · Mathematics 2021-06-25 Douglas Alem , Aakil M. Caunhye , Alfredo Moreno

Notifications are important for the user experience in mobile apps and can influence their engagement. However, too many notifications can be disruptive for users. A typical mobile app usually has several types of notification, managed by…

Computer Science and Game Theory · Computer Science 2023-02-10 Christian Kroer , Deeksha Sinha , Xuan Zhang , Shiwen Cheng , Ziyu Zhou

The market economy deals with many interacting agents such as buyers and sellers who are autonomous intelligent agents pursuing their own interests. One such multi-agent system (MAS) that plays an important role in auctions is the…

Computer Science and Game Theory · Computer Science 2010-05-30 Sumanth Sudeendra , Megha Saini , Shrisha Rao

Inequality is an inherent part of our lives: we see it in the distribution of incomes, talents, resources, and citations, amongst many others. Its intensity varies across different environments: from relatively evenly distributed ones, to…

Physics and Society · Physics 2023-04-18 Lucio Bertoli-Barsotti , Marek Gagolewski , Grzegorz Siudem , Barbara Żogała-Siudem

Unfair stock trading strategies have been shown to be one of the most negative perceptions that customers can have concerning trading and may result in long-term losses for a company. Investment banks usually place trading orders for…

Trading and Market Microstructure · Quantitative Finance 2020-01-06 Wenhang Bao

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

Computer Science and Game Theory · Computer Science 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

We are often faced with the non-trivial task of designing incentive mechanisms in the era of Web3. As history has shown, many Web3 services failed mostly due to the lack of a rigorous incentive mechanism design based on token economics.…

Computer Science and Game Theory · Computer Science 2023-01-30 Kentaroh Toyoda

Algorand is a recent, open-source public or permissionless blockchain system that employs a novel proof-of-stake byzantine consensus protocol to efficiently scale the distributed transaction agreement problem to billions of users. In…

Cryptography and Security · Computer Science 2019-11-11 Mehdi Fooladgar , Mohammad Hossein Manshaei , Murtuza Jadliwala , Mohammad Ashiqur Rahman

We consider a smart-grid connecting several agents, modeled as stochastic dynamical systems, who may be electricity consumers/producers. At each discrete time instant, which may represent a 15 minute interval, each agent may…

Systems and Control · Computer Science 2021-04-27 Rahul Singh , P. R. Kumar , Le Xie

Diffusion auction is a new model in auction design. It can incentivize the buyers who have already joined in the auction to further diffuse the sale information to others via social relations, whereby both the seller's revenue and the…

Computer Science and Game Theory · Computer Science 2020-04-28 Bin Li , Dong Hao , Dengji Zhao

Many real-world systems such as taxi systems, traffic networks and smart grids involve self-interested actors that perform individual tasks in a shared environment. However, in such systems, the self-interested behaviour of agents produces…

Multiagent Systems · Computer Science 2019-01-31 David Mguni , Joel Jennings , Sergio Valcarcel Macua , Emilio Sison , Sofia Ceppi , Enrique Munoz de Cote