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In lowest unique bid auctions, $N$ players bid for an item. The winner is whoever places the \emph{lowest} bid, provided that it is also unique. We use a grand canonical approach to derive an analytical expression for the equilibrium…

计算机科学与博弈论 · 计算机科学 2015-05-28 Simone Pigolotti , Sebastian Bernhardsson , Jeppe Juul , Gorm Galster , Pierpaolo Vivo

We study a general scenario of simultaneous contests that allocate prizes based on equal sharing: each contest awards its prize to all players who satisfy some contest-specific criterion, and the value of this prize to a winner decreases as…

计算机科学与博弈论 · 计算机科学 2022-07-19 Edith Elkind , Abheek Ghosh , Paul W. Goldberg

Demand response has been a promising solution for accommodating renewable energy in power systems. In this study, we consider a demand response scheme within a distribution network facing an energy supply deficit. The utility company…

系统与控制 · 电气工程与系统科学 2024-04-02 Xiupeng Chen , Jacquelien M. A. Scherpen , Nima Monshizadeh

Traders in a market typically have widely different, private information on the return of an asset. The equilibrium price of the asset may reflect this information more accurately if the number of traders is large enough compared to the…

统计力学 · 物理学 2019-08-17 Johannes Berg , Matteo Marsili , Aldo Rustichini , Riccardo Zecchina

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

理论经济学 · 经济学 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

We introduce a simple stochastic dynamics for game theory. It assumes ``local'' rationality in the sense that any player climbs the gradient of his utility function in the presence of a stochastic force which represents deviation from…

统计力学 · 物理学 2008-11-23 Matteo Marsili , Yi-Cheng Zhang

We study competitive equilibria in exchange economies when a continuum of goods is conflated into a finite set of commodities. The design of conflation choices affects the allocation of scarce resources among agents, by constraining trading…

理论经济学 · 经济学 2026-03-17 Niccolò Urbinat , Marco LiCalzi

The large majority of risk-sharing transactions involve few agents, each of whom can heavily influence the structure and the prices of securities. This paper proposes a game where agents' strategic sets consist of all possible sharing…

风险管理 · 定量金融 2016-07-11 Michail Anthropelos , Constantinos Kardaras

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu

In this paper, we consider the competitive diffusion game, and study the existence of its pure-strategy Nash equilibrium when defined over general undirected networks. We first determine the set of pure-strategy Nash equilibria for two…

计算机科学与博弈论 · 计算机科学 2015-06-09 Seyed Rasoul Etesami , Tamer Basar

Having fixed capacities, homogeneous products and price sensitive customer purchase decision are primary distinguishing characteristics of numerous revenue management systems. Even with two or three rivals, competition is still highly…

理论经济学 · 经济学 2022-08-08 Niloofar Fadavi

Power system operators and electric utility companies often impose a coincident peak demand charge on customers when the aggregate system demand reaches its maximum. This charge incentivizes customers to strategically shift their peak usage…

系统与控制 · 电气工程与系统科学 2025-05-16 Liudong Chen , Jay Sethuraman , Bolun Xu

Envy, the inclination to compare rewards, can be expected to unfold when inequalities in terms of payoff differences are generated in competitive societies. It is shown that increasing levels of envy lead inevitably to a self-induced…

物理与社会 · 物理学 2020-06-18 Claudius Gros

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

计算机科学与博弈论 · 计算机科学 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

We introduce pricing formulas for competition and collusion models of two-sided markets with an outside option. For the competition model, we find conditions under which prices and consumer surplus may increase or decrease if the outside…

综合经济学 · 经济学 2025-05-12 Cristian Chica , Yinglong Guo , Gilad Lerman

We consider a gossip approach for finding a Nash equilibrium in a distributed multi-player network game. We extend previous results on Nash equilibrium seeking to the case when the players' cost functions may be affected by the actions of…

系统与控制 · 计算机科学 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

Examining the behavior of multi-agent systems is vitally important to many emerging distributed applications - game theory has emerged as a powerful tool set in which to do so. The main approach of game-theoretic techniques is to model…

计算机科学与博弈论 · 计算机科学 2024-06-03 Rohit Konda , Rahul Chandan , Jason Marden

We study optimal behavior of energy producers under a CO_2 emission abatement program. We focus on a two-player discrete-time model where each producer is sequentially optimizing her emission and production schedules. The game-theoretic…

最优化与控制 · 数学 2010-08-24 Michael Ludkovski

We consider a market in which capacity-constrained generators compete in scalar-parameterized supply functions to serve an inelastic demand spread throughout a transmission constrained power network. The market clears according to a…

计算机科学与博弈论 · 计算机科学 2019-01-29 Weixuan Lin , Eilyan Bitar

We formulate two-party policy competition as a two-player non-cooperative game, generalizing Lin et al.'s work (2021). Each party selects a real-valued policy vector as its strategy from a compact subset of Euclidean space, and a voter's…

计算机科学与博弈论 · 计算机科学 2026-03-19 Chuang-Chieh Lin , Chi-Jen Lu , Po-An Chen , Chih-Chieh Hung