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Related papers: Socio-economic utility and chemical potential

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In mechanism design theory, a designer would like to implement a desired social choice function which specifies her favorite outcome for each possible profile of agents' types. To do so, the designer constructs a mechanism which describes…

Computer Science and Game Theory · Computer Science 2019-05-02 Haoyang Wu

Chemical potential is a property which involves the effect of interaction between the components of a system, and it results from the whole system. In this paper, we argue that for two particles which have interacted via their spins and are…

Quantum Physics · Physics 2009-11-07 Afshin Shafiee , Mehdi Golshani , M. Ghasem Mahjani

We investigate a class of binary choice models with social interactions. We propose a unifying perspective that integrates economic models using a utility function and psychological models using an impact function. A general approach for…

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

In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

Systems and Control · Electrical Eng. & Systems 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

The emergence of cooperation figures among the main goal of game theory in competitive-cooperative environments. Potential games have long been hinted as viable alternatives to study realistic player behavior. Here, we expand the potential…

Computer Science and Game Theory · Computer Science 2018-10-12 G. M. Nakamura , G. S. Contesini , A. S. Martinez

We study the relationship between two central concepts in the allocation of divisible goods: competitive equilibrium (CE) and allocations that maximize Nash welfare, i.e., allocations where the weighted geometric mean of the utilities is…

Computer Science and Game Theory · Computer Science 2026-03-18 Jugal Garg , Yixin Tao , László A. Végh

In this paper we deal with linear production situations in which there is a limited common-pool resource, managed by an external agent. The profit that a producer, or a group of producers, can attain depends on the amount of common-pool…

Optimization and Control · Mathematics 2019-12-09 Elisabeth Gutierrez , Natividad Llorca , Joaquin Sanchez-Soriano , Manuel Mosquera

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

Computer Science and Game Theory · Computer Science 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos

Statistical mechanics is based on interplay between energy minimization and entropy maximization. Here we formalize this interplay via axioms of cooperative game theory (Nash bargaining) and apply it out of equilibrium. These axioms capture…

Statistical Mechanics · Physics 2020-10-14 S. G. Babajanyan , K. H. Cheong , A. E. Allahverdyan

We consider the provision of public goods on networks of strategic agents. We study different effort outcomes of these network games, namely, the Nash equilibria, Pareto efficient effort profiles, and semi-cooperative equilibria (effort…

Computer Science and Game Theory · Computer Science 2016-05-20 Parinaz Naghizadeh , Mingyan Liu

This paper develops a strategic model of trade between two regions in which, depending on the relation among output, financial resources and transportation costs, the adjustment of prices towards an equilibrium is studied. We derive…

Optimization and Control · Mathematics 2008-05-21 Iordan V. Iordanov , Stoyan V. Stoyanov , Andrey A. Vassilev

Efficient allocation and use of limited resources are fundamental to advancing collective welfare and achieving long-term societal sustainability. This challenge involves not only how policymakers distribute scarce resources among…

Computer Science and Game Theory · Computer Science 2026-03-18 Juyi Li , Xiaoqun Wu , Qi Su

We study a common-pool resource game where the resource experiences failure with a probability that grows with the aggregate investment in the resource. To capture decision making under such uncertainty, we model each player's risk…

Computer Science and Game Theory · Computer Science 2016-07-04 Ashish R. Hota , Siddharth Garg , Shreyas Sundaram

Estimating the capabilities, or inputs of production, that drive and constrain the economic development of urban areas has remained a challenging goal. We posit that capabilities are instantiated in the complexity and sophistication of…

Physics and Society · Physics 2021-09-17 Andres Gomez-Lievano , Oscar Patterson-Lomba

We consider the problem of optimal charging of plug-in electric vehicles (PEVs). We treat this problem as a multi-agent game, where vehicles/agents are heterogeneous since they are subject to possibly different constraints. Under the…

Optimization and Control · Mathematics 2018-10-18 Luca Deori , Kostas Margellos , Maria Prandini

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

General Finance · Quantitative Finance 2016-05-18 Michail Anthropelos

We consider existence and uniqueness of Nash equilibria in an $N$-player game of utility maximization under relative performance criteria of multiplicative form in complete semimartingale markets. For a large class of players' utility…

Mathematical Finance · Quantitative Finance 2023-03-15 Anastasiya Tanana

The probabilistic serial (PS) rule is a prominent randomized rule for assigning indivisible goods to agents. Although it is well known for its good fairness and welfare properties, it is not strategyproof. In view of this, we address…

Computer Science and Game Theory · Computer Science 2015-04-01 Haris Aziz , Serge Gaspers , Simon Mackenzie , Nicholas Mattei , Nina Narodytska , Toby Walsh

We demonstrated the analogy between Economics and Gauge Theory of Plasticity and used it to describe the relationship between money supply and inflation at the economic market. The received equations of economical dynamics in phase space…

Physics and Society · Physics 2024-05-29 A. V. Samokish , V. E. Egorushkin