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General equilibrium, the cornerstone of modern economics and finance, rests on assumptions many markets do not meet. Spectrum auctions, electricity markets, and cap-and-trade programs for resource rights often feature non-convexities in…

Theoretical Economics · Economics 2023-05-11 Jacob K Goeree

The Walras approach to equilibrium focuses on the existence of market prices at which the total demands for goods are matched by the total supplies. Trading activities that might identify such prices by bringing agents together as potential…

Optimization and Control · Mathematics 2023-05-30 J. Deride , A. Jofré , R. T. Rockafellar

In a multi-unit market, a seller brings multiple units of a good and tries to sell them to a set of buyers that have monetary endowments. While a Walrasian equilibrium does not always exist in this model, natural relaxations of the concept…

Computer Science and Game Theory · Computer Science 2018-09-28 Simina Brânzei , Aris Filos-Ratsikas

We study the complexity of finding a Walrasian equilibrium in markets where the agents have $k$-demand valuations. These valuations are an extension of unit-demand valuations where a bundle's value is the maximum of its $k$-subsets' values.…

Computer Science and Game Theory · Computer Science 2021-05-04 Argyrios Deligkas , Themistoklis Melissourgos , Paul G. Spirakis

We consider a market in which both suppliers and consumers compete for a product via scalar-parameterized supply offers and demand bids. Scalar-parameterized offers/bids are appealing due to their modeling simplicity and desirable…

General Economics · Economics 2020-03-04 Mariola Ndrio , Khaled Alshehri , Subhonmesh Bose

We study equilibria of markets with $m$ heterogeneous indivisible goods and $n$ consumers with combinatorial preferences. It is well known that a competitive equilibrium is not guaranteed to exist when valuations are not gross substitutes.…

Computer Science and Game Theory · Computer Science 2014-06-04 Shahar Dobzinski , Michal Feldman , Inbal Talgam-Cohen , Omri Weinstein

We present the first polynomial time algorithm for computing Walrasian equilibrium in an economy with indivisible goods and \emph{general} buyer valuations having only access to an \emph{aggregate demand oracle}, i.e., an oracle that given…

Computer Science and Game Theory · Computer Science 2016-04-06 Renato Paes Leme , Sam Chiu-wai Wong

Following the work of Babaioff et al, we consider the pricing game with strategic vendors and a single buyer, modeling a scenario in which multiple competing vendors have very good knowledge of a buyer, as is common in online markets. We…

Computer Science and Game Theory · Computer Science 2016-02-10 Allan Borodin , Omer Lev , Tyrone Strangway

The problem of allocating scarce items to individuals is an important practical question in market design. An increasingly popular set of mechanisms for this task uses the concept of market equilibrium: individuals report their preferences,…

Computer Science and Game Theory · Computer Science 2019-12-11 Riley Murray , Christian Kroer , Alex Peysakhovich , Parikshit Shah

A classical trading experiment consists of a set of unit demand buyers and unit supply sellers with identical items. Each agent's value or opportunity cost for the item is their private information and preferences are quasi-linear. Trade…

Computer Science and Game Theory · Computer Science 2015-10-02 Sepehr Assadi , Sanjeev Khanna , Yang Li , Rakesh Vohra

In this paper, we investigate the computation of second-price pacing equilibria (SPPEs), a foundational model in online advertising auctions. We present a polynomial-time algorithm for computing exact SPPEs in instances with a constant…

Computer Science and Game Theory · Computer Science 2026-05-12 Yiyang Huang , Yonglei Yan , Zihe Wang , Zhengyang Liu

We develop conditions under which individual choices and Walrasian equilibrium prices and allocations can be exactly inferred from finite market data. First, we consider market data that consist of individual demands as prices and incomes…

Theoretical Economics · Economics 2021-07-16 Felix Kübler , Raghav Malhotra , Herakles Polemarchakis

A public decision-making problem consists of a set of issues, each with multiple possible alternatives, and a set of competing agents, each with a preferred alternative for each issue. We study adaptations of market economies to this…

Computer Science and Game Theory · Computer Science 2019-07-23 Nikhil Garg , Ashish Goel , Benjamin Plaut

We consider a model of two-sided matching market where buyers and sellers trade indivisible goods with the feature that each buyer has unit demand and seller has unit supply. The result of the existence of Walrasian equilibrium and lattice…

Theoretical Economics · Economics 2025-04-09 Komal Malik

We design novel mechanisms for welfare-maximization in two-sided markets. That is, there are buyers willing to purchase items and sellers holding items initially, both acting rationally and strategically in order to maximize utility. Our…

Computer Science and Game Theory · Computer Science 2021-06-01 Alexander Braun , Thomas Kesselheim

We study the bilateral trade problem where a seller owns a single indivisible item, and a potential buyer seeks to purchase it. Previous mechanisms for this problem only considered the case where the values of the buyer and the seller are…

Computer Science and Game Theory · Computer Science 2024-04-17 Shahar Dobzinski , Ariel Shaulker

This paper defines the notion of a local equilibrium of quality $(r , s)$, $0 \leq r , s$, in a discrete exchange economy: a partial allocation and item prices that guarantee certain stability properties parametrized by the numbers $r$ and…

Computer Science and Game Theory · Computer Science 2020-04-22 Daniel Lehmann

We consider a package assignment problem with multiple units of indivisible items. The seller can specify preferences over partitions of their supply between buyers as packaging costs. We propose incremental costs together with a graph that…

Theoretical Economics · Economics 2025-07-08 Simon Finster

We consider the efficient outcome of a canonical economic market model involving buyers and sellers with independent and identically distributed random valuations and costs, respectively. When the number of buyers and sellers is large, we…

Probability · Mathematics 2017-03-02 Ellen V. Muir , Konstantin Borovkov

A truthful mechanism for a Bayesian single-item auction results with some ex-ante revenue for the seller, and some ex-ante total surplus for the buyers. We study the Pareto frontier of the set of seller-buyers ex-ante utilities, generated…

Computer Science and Game Theory · Computer Science 2026-02-13 Moshe Babaioff , Sijin Chen , Zhaohua Chen , Yiding Feng