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We demonstrate how a static optimal income taxation problem can be analyzed using dynamical methods. Specifically, we show that the taxation problem is intimately connected to the heat equation. Our first result is a new property of the…

Theoretical Economics · Economics 2019-05-01 Stefan Steinerberger , Aleh Tsyvinski

A knowledge system S describing a part of real world does in general not contain complete information. Reasoning with incomplete information is prone to errors since any belief derived from S may be false in the present state of the world.…

Artificial Intelligence · Computer Science 2011-05-20 Eliezer L. Lozinskii

This paper develops new tools to quantify uncertainty in optimal decision making and to gain insight into which variables one should collect information about given the potential cost of measuring a large number of variables. We investigate…

Methodology · Statistics 2021-05-11 Yunan Wu , Lan Wang , Haoda Fu

Real data are rarely pure. Hence the past half-century has seen great interest in robust estimation algorithms that perform well even when part of the data is corrupt. However, their vast majority approach optimal accuracy only when given a…

Machine Learning · Computer Science 2022-02-14 Ayush Jain , Alon Orlitsky , Vaishakh Ravindrakumar

We study the Inexact Restoration framework with random models for minimizing functions whose evaluation is subject to errors. We propose a constrained formulation that includes well-known stochastic problems and an algorithm applicable when…

Optimization and Control · Mathematics 2026-02-24 Benedetta Morini , Simone Rebegoldi

Confidence is a fundamental concept in statistics, but there is a tendency to misinterpret it as probability. In this paper, I argue that an intuitively and mathematically more appropriate interpretation of confidence is through…

Statistics Theory · Mathematics 2017-07-04 Ryan Martin

In multiplayer games, self-interested behavior among the players can harm the social welfare. Tax mechanisms are a common method to alleviate this issue and induce socially optimal behavior. In this work, we take the initial step of…

Computer Science and Game Theory · Computer Science 2025-01-16 Qiwen Cui , Maryam Fazel , Simon S. Du

The optimal taxation of assets requires attention to two concerns: 1) the elasticity of the supply of assets and 2) the impact of taxing assets on distributional objectives. The most efficient way to attend to these two concerns is to tax…

General Economics · Economics 2021-06-08 Nicolaus Tideman , Thomas Mecherikunnel

We consider large scale cost allocation problems and consensus seeking problems for multiple agents, in which agents are suggested to collaborate in a distributed algorithm to find a solution. If agents are strategic to minimize their own…

Optimization and Control · Mathematics 2013-04-11 Takashi Tanaka , Farhad Farokhi , Cédric Langbort

The question of \emph{knowledge}, \emph{truth} and \emph{trust} is explored via a mathematical formulation of claims and sources. We define truth as the reproducibly perceived subset of knowledge, formalize sources as having both generative…

Artificial Intelligence · Computer Science 2026-03-10 Aravind R. Iyengar

The use of artificial intelligence (AI) in the public sector is best understood as a continuation and intensification of long standing rationalization and bureaucratization processes. Drawing on Weber, we take the core of these processes to…

Artificial Intelligence · Computer Science 2024-07-09 Jakob Mokander , Ralph Schroeder

This paper explores the interplay between transfer policies, R\&D, corruption, and economic development using a general equilibrium model with heterogeneous agents and a government. The government collects taxes, redistributes fiscal…

Computational Finance · Quantitative Finance 2025-12-04 Cuong Le Van , Ngoc-Sang Pham , Thi Kim Cuong Pham , Binh Tran-Nam

Less-salient taxes can ease the classic equality-efficiency trade-off by making people respond less to taxation. But deliberately obscuring taxes may be viewed as dishonest. This creates a three-way trade-off between equality, efficiency,…

Theoretical Economics · Economics 2026-05-29 Ashley Craig , Itai Sher

In our multi-agent model agents generate wealth from repeated interactions for which a prisoner's dilemma payoff matrix is assumed. Their gains are taxed by a government at a rate $\alpha$. The resulting budget is spent to cover…

Physics and Society · Physics 2021-06-30 Frank Schweitzer , Luca Verginer , Giacomo Vaccario

We examine an economy in which interactions are more productive if agents can trust others to refrain from cheating. Some agents are scoundrels, who cheat at every opportunity, while others cheat only if the cost of cheating, a decreasing…

Theoretical Economics · Economics 2024-11-28 Luca Anderlini , Larry Samuelson , Daniele Terlizzese

We provide sufficient conditions for revenue maximization in a two-good monopoly where the buyer's values for the items come from independent (but not necessarily identical) distributions over bounded intervals. Under certain distributional…

Computer Science and Game Theory · Computer Science 2015-11-24 Yiannis Giannakopoulos , Elias Koutsoupias

Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax evasion. In…

General Finance · Quantitative Finance 2017-01-11 M. L. Bertotti , G. Modanese

Participatory Budgeting (PB) is commonly studied from an axiomatic perspective, where the aim is to design procedurally fair and economically efficient rules for voters with full information regarding their preferences. In contrast, we take…

Computer Science and Game Theory · Computer Science 2026-01-28 Qishen Han , Artem Ivaniuk , Edith Elkind , Lirong Xia

A policymaker discloses public information to interacting agents who also acquire costly private information. More precise public information reduces the precision and cost of acquired private information. Considering this effect, what…

Theoretical Economics · Economics 2022-04-08 Takashi Ui

Belief revision is the process in which an agent incorporates a new piece of information together with a pre-existing set of beliefs. When the new information comes in the form of a report from another agent, then it is clear that we must…

Artificial Intelligence · Computer Science 2014-05-02 Aaron Hunter