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The aim of this paper is to introduce models and algorithms for the Participatory Budgeting problem when projects can interact with each other. In this problem, the objective is to select a set of projects that fits in a given budget.…

Computer Science and Game Theory · Computer Science 2024-03-29 Martin Durand , Fanny Pascual

We examine normal-form games in which players may \emph{pre-commit} to outcome-contingent transfers before choosing their actions. In the one-shot version of this model, Jackson and Wilkie showed that side contracting can backfire: even a…

Computer Science and Game Theory · Computer Science 2025-08-12 Ivan Geffner , Caspar Oesterheld , Vincent Conitzer

For the iterated Prisoner's Dilemma, there exist Markov strategies which solve the problem when we restrict attention to the long term average payoff. When used by both players these assure the cooperative payoff for each of them. Neither…

Dynamical Systems · Mathematics 2017-04-27 Ethan Akin

Building on the linear programming approach to competitive equilibrium pricing, we develop a general method for constructing iterative auctions that achieve Vickrey-Clarke-Groves (VCG) outcomes. We show how to transform a linear program…

Computer Science and Game Theory · Computer Science 2025-07-08 Sébastien Lahaie , Benjamin Lubin

This paper investigates an infinite-horizon problems in the one-dimensional calculus of variations, arising from the Ramsey model of endogeneous economic growth. Following Chichilnisky, we introduce an additional term, which models concern…

Economics · Quantitative Finance 2015-11-03 Ivar Ekeland , Yiming Long , Qinglong Zhou

In this paper, we propose a stochastic method for solving equality constrained optimization problems that utilizes predictive variance reduction. Specifically, we develop a method based on the sequential quadratic programming paradigm that…

Optimization and Control · Mathematics 2023-03-28 Albert S. Berahas , Jiahao Shi , Zihong Yi , Baoyu Zhou

Repeated small dynamic networks are integral to studies in evolutionary game theory, where networked public goods games offer novel insights into human behaviors. Building on these findings, it is necessary to develop a statistical model…

Applications · Statistics 2025-11-26 Hiroyasu Ando , Akihiro Nishi , Mark S. Handcock

Current electric vehicle market trends indicate an increasing adoption rate across several countries. To meet the expected growing charging demand, it is necessary to scale up the current charging infrastructure and to mitigate current…

Theoretical Economics · Economics 2022-08-23 Marianne Guillet , Maximilian Schiffer

This paper investigates distributed control and incentive mechanisms to coordinate distributed energy resources (DERs) with both continuous and discrete decision variables as well as device dynamics in distribution grids. We formulate a…

Optimization and Control · Mathematics 2019-07-16 Xinyang Zhou , Emiliano Dall'Anese , Lijun Chen

For power grids predominantly featuring large synchronous generators (SGs), there exists a significant body of work bridging optimization and control tasks. A generic workflow in such efforts entails: characterizing the steady state of…

Optimization and Control · Mathematics 2022-10-13 Manish K. Singh , D. Venkatramanan , Sairaj Dhople

This work considers a stochastic Nash game in which each player solves a parameterized stochastic optimization problem. In deterministic regimes, best-response schemes have been shown to be convergent under a suitable spectral property…

Optimization and Control · Mathematics 2018-02-08 Jinlong Lei , Uday V. Shanbhag , Jong-Shi Pang , Suvrajeet Sen

We consider a government that aims at reducing the debt-to-gross domestic product (GDP) ratio of a country. The government observes the level of the debt-to-GDP ratio and an indicator of the state of the economy, but does not directly…

Optimization and Control · Mathematics 2019-01-29 Giorgia Callegaro , Claudia Ceci , Giorgio Ferrari

We study optimal transport-based distributionally robust optimization problems where a fictitious adversary, often envisioned as nature, can choose the distribution of the uncertain problem parameters by reshaping a prescribed reference…

Optimization and Control · Mathematics 2025-10-16 Soroosh Shafiee , Liviu Aolaritei , Florian Dörfler , Daniel Kuhn

We consider a class of hierarchical variational inequality (VI) problems that subsumes VI-constrained optimization and several other problem classes including the optimal solution selection problem and the optimal Nash equilibrium (NE)…

Optimization and Control · Mathematics 2024-09-30 Sepideh Samadi , Farzad Yousefian

In performative stochastic optimization, decisions can influence the distribution of random parameters, rendering the data-generating process itself decision-dependent. In practice, decision-makers rarely have access to the true…

Optimization and Control · Mathematics 2025-10-27 Zhuangzhuang Jia , Yijie Wang , Roy Dong , Grani A. Hanasusanto

We study the problem of scheduling $m$ tasks to $n$ selfish, unrelated machines in order to minimize the makespan, where the execution times are independent random variables, identical across machines. We show that the VCG mechanism, which…

Computer Science and Game Theory · Computer Science 2017-03-30 Yiannis Giannakopoulos , Maria Kyropoulou

This work examines a stochastic formulation of the generalized Nash equilibrium problem (GNEP) where agents are subject to randomness in the environment of unknown statistical distribution. We focus on fully-distributed online learning by…

Computer Science and Game Theory · Computer Science 2017-06-28 Chung-Kai Yu , Mihaela van der Schaar , Ali H. Sayed

We propose two market designs for the optimal day-ahead scheduling of energy exchanges within renewable energy communities. The first one implements a cooperative demand side management scheme inside a community where members objectives are…

Computer Science and Game Theory · Computer Science 2025-06-23 Louise Sadoine , Zacharie De Grève , Thomas Brihaye

In the paper we show that an important class of multistage traffic equillibrium models (including correspondence matrix calculation, traffic assignment problem etc) and their economic generalizations can be considered as proper population…

Optimization and Control · Mathematics 2016-04-19 Alexander Gasnikov

Recently there has been a lot of progress in the development of economic nonlinear model predictive control (NMPC) schemes for multistage optimal power flow (OPF) problems. However, the additional inclusion of discrete decision variables to…

Optimization and Control · Mathematics 2026-05-28 Jürgen Gutekunst , Armin Nurkanovic , Ekaterina Kostina , Hans Georg Bock , Robert Scholz , Amer Mesanovic