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We analyze the pedestrian evacuation of a rectangular room with a single door considering a Lattice Gas scheme with the addition of behavioral aspects of the pedestrians. The movement of the individuals is based on random and rational…

Adaptation and Self-Organizing Systems · Physics 2015-06-17 S. Bouzat , M. N. Kuperman

In repeated games, cooperation is possible in equilibrium only if players are sufficiently patient, and long-term gains from cooperation outweigh short-term gains from deviation. What happens if the players have incomplete information…

Economics · Quantitative Finance 2019-01-23 Cy Maor , Eilon Solan

The formal study of coalition formation in multi-agent systems is typically realized in the framework of hedonic games, which originate from economic theory. The main focus of this branch of research has been on the existence and the…

Computer Science and Game Theory · Computer Science 2022-11-18 Felix Brandt , Martin Bullinger , Anaëlle Wilczynski

Game theory has been one of the most successful quantitative concepts to describe social interactions, their strategical aspects, and outcomes. Among the payoff matrix quantifying the result of a social interaction, the interaction…

Physics and Society · Physics 2017-11-22 Wenjian Yu , Dirk Helbing

Convexity, though extremely important in mathematical programming, has not drawn enough attention in the field of dynamic programming. This paper gives conditions for verifying convexity of the cost-to-go functions, and introduces an…

Optimization and Control · Mathematics 2011-11-14 Sheng Yu , Enrique Campos-Nanez

The deduction game is a variation of the game of cops and robber on graphs in which searchers must capture an invisible evader in at most one move. Searchers know each others' initial locations, but can only communicate if they are on the…

Combinatorics · Mathematics 2024-12-24 Andrea Burgess , Danny Dyer , Mozhgan Farahani

In a game of persuasion with evidence, a sender has private information. By presenting evidence on the information, the sender wishes to persuade a receiver to take a single action (e.g., hire a job candidate, or convict a defendant). The…

Computer Science and Game Theory · Computer Science 2024-09-10 Martin Hoefer , Pasin Manurangsi , Alexandros Psomas

In this work we study a model of tax evasion. We considered a fixed population divided in three compartments, namely honest tax payers, tax evaders and a third class between the mentioned two, which we call \textit{susceptibles} to become…

Physics and Society · Physics 2017-05-24 Rafael M. Brum , Nuno Crokidakis

In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level…

Populations and Evolution · Quantitative Biology 2023-10-09 M. H. Duong , C. M. Durbac , T. A. Han

We analyze ways by which people decompose into groups in distributed systems. We are interested in systems in which an agent can increase its utility by connecting to other agents, but must also pay a cost that increases with the size of…

Computer Science and Game Theory · Computer Science 2013-05-21 Shay Kutten , Ron Lavi , Amitabh Trehan

We propose a parametric specification of the probability of tax penalisation faced by a taxpayer, based on the amount of deduction chosen by her to reduce total taxation. Comparative analyses lead to a closed-form solution for the optimum…

General Economics · Economics 2022-03-01 Alex A. T. Rathke

Artificial currencies have grown in popularity in many real-world resource allocation settings, gaining traction in government benefits programs like food assistance and transit benefits programs. However, such programs are susceptible to…

Systems and Control · Electrical Eng. & Systems 2024-02-27 Devansh Jalota , Matthew Tsao , Marco Pavone

Governments are motivated to subsidize profit-driven firms that manufacture zero-emission vehicles to ensure they become price-competitive. This paper introduces a dynamic Stackelberg game to determine the government's optimal subsidy…

Optimization and Control · Mathematics 2025-10-21 Utsav Sadana , Georges Zaccour

Independent set games are cooperative games defined on graphs, where players are edges and the value of a coalition is the maximum cardinality of independent sets in the subgraph defined by the coalition. In this paper, we investigate the…

Discrete Mathematics · Computer Science 2020-09-14 Han Xiao , Yuanxi Wang , Qizhi Fang

In this paper, we introduce and study a class of games called price-coupling games that arise in many scenarios, especially in the electricity industry. In a price-coupling game, there is a part of the objective function of a player which…

Optimization and Control · Mathematics 2019-01-08 Mathew P. Abraham , Ankur A. Kulkarni

The consumers' willingness to pay plays an important role in economic theory and in setting policy. For a market, this function can often be estimated from observed behavior -- preferences are revealed. However, economists would like to…

General Economics · Economics 2021-08-02 Edoh Y. Amiran , Joni S. James Charles

Many learning algorithms are known to converge to an equilibrium for specific classes of games if the same learning algorithm is adopted by all agents. However, when the agents are self-interested, a natural question is whether agents have…

Computer Science and Game Theory · Computer Science 2024-02-15 Shivam Bajaj , Pranoy Das , Yevgeniy Vorobeychik , Vijay Gupta

Traditional solvable game theory and mean-field-type game theory (risk-aware games) predominantly focus on quadratic costs due to their analytical tractability. Nevertheless, they often fail to capture critical non-linearities inherent in…

Optimization and Control · Mathematics 2025-05-09 Julian Barreiro-Gomez , Tyrone E. Duncan , Bozenna Pasik-Duncan , Hamidou Tembine

Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

Computer Science and Game Theory · Computer Science 2015-05-27 Paolo Galeazzi , Michael Franke

This paper presents a method that addresses the conservatism, computational effort, and limited numerical accuracy of existing frameworks and methods that ensure safety in online model-based motion generation, commonly referred to as fast…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Christopher Bohn , Manuel Hess , Sören Hohmann
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