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We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

Price controls kill the incentive for arbitrage. We prove a Chaos Theorem: under a binding price ceiling, suppliers are indifferent across destinations, so arbitrarily small cost differences can determine the entire allocation. The economy…

General Economics · Economics 2026-03-31 Brian C. Albrecht , Alex Tabarrok , Mark Whitmeyer

In this paper, we consider $n$ agents who invest in a general financial market that is free of arbitrage and complete. The aim of each investor is to maximize her expected utility while ensuring, with a specified probability, that her…

Optimization and Control · Mathematics 2025-07-01 Nicole Bäuerle , Tamara Göll

With the advent of prosumers, the traditional centralized operation may become impracticable due to computational burden, privacy concerns, and conflicting interests. In this paper, an energy sharing mechanism is proposed to accommodate…

Optimization and Control · Mathematics 2020-12-29 Yue Chen , Changhong Zhao , Steven H. Low , Shengwei Mei

We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be…

Computer Science and Game Theory · Computer Science 2014-04-04 Krzysztof R. Apt , Guido Schaefer

This paper considers incentives to provide goods that are partially shareable along social links. We introduce a model in which each individual in a social network not only decides how much of a shareable good to provide, but also decides…

Theoretical Economics · Economics 2023-06-05 Stefanie Gerke , Gregory Gutin , Sung-Ha Hwang , Philip Neary

We study the impact of strategic behavior in labor markets characterized by algorithmic monoculture, where firms compete for a shared pool of applicants using a common algorithmic evaluation. In this setting, "naive" hiring strategies lead…

Computer Science and Game Theory · Computer Science 2026-02-19 Jackie Baek , Hamsa Bastani , Shihan Chen

Mean field games (MFGs) have been introduced to study Nash equilibria in very large population of self-interested agents. However, when applied to common pool resource (CPR) games, MFG equilibria lead to the so-called tragedy of the commons…

Optimization and Control · Mathematics 2025-04-15 Gokce Dayanikli , Mathieu Lauriere

Recently Bramoulle and Kranton presented a model for the provision of public goods over a network and showed the existence of a class of Nash equilibria called specialized equilibria wherein some agents exert maximum effort while other…

Computer Science and Game Theory · Computer Science 2022-01-25 Parthe Pandit , Ankur A. Kulkarni

We study correlated equilibria and coarse equilibria of simple first-price single-item auctions in the simplest auction model of full information. Nash equilibria are known to always yield full efficiency and a revenue that is at least the…

Computer Science and Game Theory · Computer Science 2017-01-09 Michal Feldman , Brendan Lucier , Noam Nisan

In this paper we study continuous-time stochastic control problems with both monotone and classical controls motivated by the so-called public good contribution problem. That is the problem of n economic agents aiming to maximize their…

Optimization and Control · Mathematics 2018-05-23 Giorgio Ferrari , Frank Riedel , Jan-Henrik Steg

We consider a resource allocation problem where individual users wish to send data across a network to maximize their utility, and a cost is incurred at each link that depends on the total rate sent through the link. It is known that as…

Computer Science and Game Theory · Computer Science 2007-05-23 Ramesh Johari , Shie Mannor , John N. Tsitsiklis

The tragedy of the commons (TOC) is a ubiquitous social dilemma witnessed in interactions between a population of living entities and shared resources available to them: The individuals in the population tend to selfishly overexploit a…

Populations and Evolution · Quantitative Biology 2022-05-11 Joy Das Bairagya , Samrat Sohel Mondal , Debashish Chowdhury , Sagar Chakraborty

In our model, $n$ traders interact with each other and with a central bank; they are taxed on the money they make, some of which is dissipated away by corruption. A generic feature of our model is that the richest trader always wins by…

Physics and Society · Physics 2008-12-02 Anita Mehta , A. S. Majumdar , J. M. Luck

We provide an in-depth study of Nash equilibria in multi-objective normal form games (MONFGs), i.e., normal form games with vectorial payoffs. Taking a utility-based approach, we assume that each player's utility can be modelled with a…

Computer Science and Game Theory · Computer Science 2022-07-19 Willem Röpke , Diederik M. Roijers , Ann Nowé , Roxana Rădulescu

In this paper we characterise the propensity of big capital investments to systematically deliver poor outcomes as "fragility," a notion suggested by Nassim Taleb. A thing or system that is easily harmed by randomness is fragile. We argue…

Economics · Quantitative Finance 2017-06-05 Atif Ansar , Bent Flyvbjerg , Alexander Budzier , Daniel Lunn

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

We provide a strategic model of the formation of production networks that subsumes the standard general equilibrium approach. The objective of firms in our setting is to choose their supply relationships so as to maximize their profit at…

Theoretical Economics · Economics 2025-05-07 Antoine Mandel , Van-Quy Nguyen , Bach Dong-Xuan

Congestion games are popular models often used to study the system-level inefficiencies caused by selfish agents, typically measured by the price of anarchy. One may expect that aligning the agents' preferences with the system-level…

Computer Science and Game Theory · Computer Science 2024-09-04 Bryce L Ferguson , Dario Paccagnan , Bary S R Pradelski , Jason R Marden

We develop a model for the evolution of wealth in a non-conservative economic environment, extending a theory developed earlier by the authors. The model considers a system of rational agents interacting in a game theoretical framework.…

General Finance · Quantitative Finance 2015-06-19 Pierre Degond , Jian-Guo Liu , Christian Ringhofer