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This paper investigates the efficiency loss in social cost caused by strategic bidding behavior of individual participants in a supply-demand balancing market, and proposes a mechanism to fully recover equilibrium social optimum via…

最优化与控制 · 数学 2021-06-22 Kaiying Lin , Beibei Wang , Pengcheng You

This paper studies a multi-period demand response management problem in the smart grid where multiple utility companies compete among themselves. The user-utility interactions are modeled by a noncooperative game of a Stackelberg type where…

最优化与控制 · 数学 2016-11-17 Khaled Alshehri , Ji Liu , Xudong Chen , Tamer Başar

This paper considers a distributed Nash equilibrium seeking problem, where the players only have partial access to other players' actions, such as their neighbors' actions. Thus, the players are supposed to communicate with each other to…

最优化与控制 · 数学 2020-03-31 Yipeng Pang , Guoqiang Hu

We consider the decentralized power allocation and spectrum sharing problem in multi-user, multi-channel systems with strategic users. We present a mechanism/game form that has the following desirable features. (1) It is individually…

最优化与控制 · 数学 2012-02-10 Ali Kakhbod , Demosthenis Teneketzis

This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

分布式、并行与集群计算 · 计算机科学 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

In this work, we present an application of the probabilistic weak formulation of mean field games (MFG) for modeling liquidity pools in a constant product automated market maker (AMM) protocol in the context of decentralized finance. Our…

最优化与控制 · 数学 2026-04-14 Agustín Muñoz González , Juan I. Sequeira , Rafael Orive Illera

This paper proposes a novel approach for local convergence to Nash equilibrium in quadratic noncooperative games based on a distributed Lie-bracket extremum seeking control scheme. This is the first instance of noncooperative games being…

最优化与控制 · 数学 2025-01-22 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Tamer Basar

We consider an attacker-operator game for monitoring a large-scale network that is comprised on components that differ in their criticality levels. In this zero-sum game, the operator seeks to position a limited number of sensors to monitor…

计算机科学与博弈论 · 计算机科学 2019-03-19 Jezdimir Milosevic , Mathieu Dahan , Saurabh Amin , Henrik Sandberg

In game theory, a trusted mediator acting on behalf of the players can enable the attainment of correlated equilibria, which may provide better payoffs than those available from the Nash equilibria alone. We explore the approach of…

密码学与安全 · 计算机科学 2013-11-08 Ye Wang , Shantanu Rane , Prakash Ishwar

AMMs are autonomous smart contracts deployed on a blockchain that make markets between different assets that live on that chain. In this paper we are examining a specific class of AMMs called Constant Function Market Makers whose trading…

交易与市场微观结构 · 定量金融 2021-11-18 Stefan Loesch , Nate Hindman , Mark B Richardson , Nicholas Welch

This paper studies non-cooperative games where players are allowed to play their mixed non-additive strategies. Expected payoffs are expressed by so-called fuzzy integrals: Choquet integral, Sugeno integral and generalizations of Sugeno…

一般拓扑 · 数学 2019-11-12 Taras Radul

Automated Market Makers (AMMs) are essential to decentralized finance, offering continuous liquidity and enabling intermediary-free trading on blockchains. However, participants in AMMs are vulnerable to Maximal Extractable Value (MEV)…

计算机科学与博弈论 · 计算机科学 2024-10-25 Mengqian Zhang , Sen Yang , Fan Zhang

We propose locally convergent Nash equilibrium seeking algorithms for $N$-player noncooperative games, which use distributed event-triggered pseudo-gradient estimates. The proposed approach employs sinusoidal perturbations to estimate the…

最优化与控制 · 数学 2025-05-13 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Tamer Basar

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

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

We consider the problem of computing mixed Nash equilibria of two-player zero-sum games with continuous sets of pure strategies and with first-order access to the payoff function. This problem arises for example in game-theory-inspired…

最优化与控制 · 数学 2025-09-04 Guillaume Wang , Lénaïc Chizat

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

Lindahl equilibrium is a solution concept for allocating a fixed budget across several divisible public goods. It always lies in the weak core, meaning that the equilibrium allocation satisfies desirable stability and proportional fairness…

计算机科学与博弈论 · 计算机科学 2025-09-08 Christian Kroer , Dominik Peters

We investigate how liquidity providers (LPs) choose between high- and low-fee trading venues, in the face of a fixed common gas cost. Analyzing Uniswap data, we find that high-fee pools attract 58% of liquidity supply yet execute only 21%…

交易与市场微观结构 · 定量金融 2024-05-24 Alfred Lehar , Christine Parlour , Marius Zoican

Contemporary process industries are constantly confronted with volatile market conditions that jeopardise their financial sustainability. While mature markets transition to oligopoly structures, the supply chain operation should adapt to a…

We study the problem of computing an approximate Nash equilibrium of a game whose strategy space is continuous without access to gradients of the utility function. Such games arise, for example, when players' strategies are represented by…

计算机科学与博弈论 · 计算机科学 2025-10-28 Carlos Martin , Tuomas Sandholm