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This paper studies convex duality in optimal investment and contingent claim valuation in markets where traded assets may be subject to nonlinear trading costs and portfolio constraints. Under fairly general conditions, the dual expressions…

Mathematical Finance · Quantitative Finance 2016-03-10 Teemu Pennanen , Ari-Pekka Perkkiö

This paper studies mechanism design for auctions with externalities on budgets, a novel setting where the budgets that bidders commit are adjusted due to the externality of the competitors' allocation outcomes-a departure from traditional…

Computer Science and Game Theory · Computer Science 2025-04-22 Yusen Zheng , Yukun Cheng , Chenyang Xu , Xiaotie Deng

We advance the study of incentivized bandit exploration, in which arm choices are viewed as recommendations and are required to be Bayesian incentive compatible. Recent work has shown under certain independence assumptions that after…

Computer Science and Game Theory · Computer Science 2024-09-25 Mark Sellke

This paper is concerned with a time-inconsistent recursive stochastic control problems where the forward state process is constrained through an additional recursive utility system. By adapting the Ekeland variational principle, necessary…

Optimization and Control · Mathematics 2024-03-13 Elisa Mastrogiacomo , Marco Tarsia

The existence of EFX allocations is a fundamental question in fair division. In this paper, we construct a three-agent, eight-good instance with monotone subadditive valuations such that no allocation satisfies $\alpha$-EFX for any $\alpha…

Computer Science and Game Theory · Computer Science 2026-05-08 Simon Mackenzie , Mashbat Suzuki

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

Computer Science and Game Theory · Computer Science 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

We study randomized variants of two classical algorithms: coordinate descent for systems of linear equations and iterated projections for systems of linear inequalities. Expanding on a recent randomized iterated projection algorithm of…

Optimization and Control · Mathematics 2008-06-19 D. Leventhal , A. S. Lewis

We prove an existence result for the principal-agent problem with adverse selection under general assumptions on preferences and allocation spaces. Instead of assuming that the allocation space is finite-dimensional or compact, we consider…

Optimization and Control · Mathematics 2020-03-11 Guillaume Carlier , Kelvin Shuangjian Zhang

Many important resource allocation problems involve the combinatorial assignment of items, e.g., auctions or course allocation. Because the bundle space grows exponentially in the number of items, preference elicitation is a key challenge…

Computer Science and Game Theory · Computer Science 2023-03-14 Jakob Weissteiner , Jakob Heiss , Julien Siems , Sven Seuken

The optimal allocation of resources for maximizing influence, spread of information or coverage, has gained attention in the past years, in particular in machine learning and data mining. But in applications, the parameters of the problem…

Machine Learning · Computer Science 2017-06-14 Matthew Staib , Stefanie Jegelka

This paper reveals that a common and central role, played in many error bound (EB) conditions and a variety of gradient-type methods, is a residual measure operator. On one hand, by linking this operator with other optimality measures, we…

Optimization and Control · Mathematics 2018-05-17 Hui Zhang

This paper studies dynamic mechanism design in a quasilinear Markovian environment and analyzes a direct mechanism model of a principal-agent framework in which the agent is allowed to exit at any period. We consider that the agent's…

Dynamical Systems · Mathematics 2021-05-10 Tao Zhang , Quanyan Zhu

Modern applications require robots to comply with multiple, often conflicting rules and to interact with the other agents. We present Posetal Games as a class of games in which each player expresses a preference over the outcomes via a…

In a one-commodity economy with single-peaked preferences and individual endowments, we study different ways in which reallocation rules can be strategically distorted by affecting the set of active agents. We introduce and characterize the…

Theoretical Economics · Economics 2023-08-21 Agustin G. Bonifacio

Existential rules have been proposed for representing ontological knowledge, specifically in the context of Ontology-Based Query Answering. Entailment with existential rules is undecidable. We focus in this paper on conditions that ensure…

Artificial Intelligence · Computer Science 2014-07-28 Jean-Francois Baget , Fabien Garreau , Marie-Laure Mugnier , Swan Rocher

This paper studies decision problems where the decision maker's choice of action affects the probability distribution of a payoff relevant random variable. We establish sufficient conditions for the existence of an expected utility…

Theoretical Economics · Economics 2026-05-29 Ayush Gupta

We consider the discrete assignment problem in which agents express ordinal preferences over objects and these objects are allocated to the agents in a fair manner. We use the stochastic dominance relation between fractional or randomized…

Computer Science and Game Theory · Computer Science 2015-06-18 Haris Aziz , Serge Gaspers , Simon Mackenzie , Toby Walsh

This paper presents models for predicted click-through rates in position auctions that take into account two possibilities that are not normally considered---that the identities of ads shown in other positions may affect the probability…

Computer Science and Game Theory · Computer Science 2014-09-17 Patrick Hummel , R. Preston McAfee

We address the problem of reinforcement learning in which observations may exhibit an arbitrary form of stochastic dependence on past observations and actions, i.e. environments more general than (PO)MDPs. The task for an agent is to attain…

Machine Learning · Computer Science 2009-12-30 Daniil Ryabko , Marcus Hutter

The two standard fairness notions in the resource allocation literature are proportionality and envy-freeness. If there are n agents competing for the available resources, then proportionality requires that each agent receives at least a…

Computer Science and Game Theory · Computer Science 2025-04-22 Arash Ashuri , Vasilis Gkatzelis
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