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Auction is applied for trade with various mechanisms. A simple but practical question is which mechanism, typically first-price or second-price auctions, is preferred from the perspective of bidders or sellers. A celebrated answer is…

Computer Science and Game Theory · Computer Science 2026-02-20 Yuma Fujimoto , Kaito Ariu , Kenshi Abe

In this paper, we study the problem of learning to bid in repeated first-price auctions with budget constraints. In each period, the decision maker needs to submit a bid to win the auction and maximize the total collected reward, subject to…

Optimization and Control · Mathematics 2026-03-10 Zeng Fu , Jiashuo Jiang , Yuan Zhou

We study the efficiency of sequential first-price item auctions at (subgame perfect) equilibrium. This auction format has recently attracted much attention, with previous work establishing positive results for unit-demand valuations and…

Computer Science and Game Theory · Computer Science 2013-09-11 Michal Feldman , Brendan Lucier , Vasilis Syrgkanis

The notion that economies should normally be in equilibrium is by now well-established; equally well-established is that economies are almost never precisely in equilibrium. Using a very general formulation, we show that under dynamics that…

General Finance · Quantitative Finance 2012-02-28 Eric Kemp-Benedict

In a combinatorial auction with item bidding, agents participate in multiple single-item second-price auctions at once. As some items might be substitutes, agents need to strategize in order to maximize their utilities. A number of results…

Computer Science and Game Theory · Computer Science 2017-04-17 Paul Dütting , Thomas Kesselheim

We study buyer-optimal procurement mechanisms when quality is contractible. When some costs are borne by every participant of a procurement auction regardless of winning, the classic analysis should be amended. We show that an optimal…

Theoretical Economics · Economics 2024-11-20 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev

This paper investigates a two-stage game-theoretical model with multiple parallel rank-order contests. In this model, each contest designer sets up a contest and determines the prize structure within a fixed budget in the first stage.…

Computer Science and Game Theory · Computer Science 2025-05-14 Xiaotie Deng , Ningyuan Li , Weian Li , Qi Qi

We study the efficiency of simple combinatorial auctions for the allocation of a set of items to a set of agents, with private subadditive valuation functions and budget constraints. The class we consider includes all auctions that allocate…

Computer Science and Game Theory · Computer Science 2020-07-29 Alexandros A. Voudouris

Online auction scenarios, such as bidding searches on advertising platforms, often require bidders to participate repeatedly in auctions for identical or similar items. Most previous studies have only considered the process by which the…

Computer Science and Game Theory · Computer Science 2024-02-28 Yudong Hu , Congying Han , Tiande Guo , Hao Xiao

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…

General Economics · Economics 2025-05-12 Cristian Chica , Yinglong Guo , Gilad Lerman

A common practice in many auctions is to offer bidders an opportunity to improve their bids, known as a Best and Final Offer (BAFO) stage. This final bid can depend on new information provided about either the asset or the competitors. This…

Computer Science and Game Theory · Computer Science 2021-04-21 Galit Ashkenazi-Golan , Yevgeny Tsodikovich , Yannick Viossat

We describe human-subject laboratory experiments on probabilistic auctions based on previously proposed auction protocols involving the simulated manipulation and communication of quantum states. These auctions are probabilistic in…

Quantum Physics · Physics 2009-03-31 Kay-Yut Chen , Tad Hogg

This paper studies the incentives of the seller and buyers to shill bid in a single-item auction. An auction is seller identity-compatible if the seller cannot profit from pretending to be one or more bidders via fake identities. It is…

Theoretical Economics · Economics 2025-11-04 Haoyuan Zeng

We study a game between $N$ job applicants who incur a cost $c$ (relative to the job value) to reveal their type during interviews and an administrator who seeks to maximize the probability of hiring the best. We define a full learning…

Theoretical Economics · Economics 2025-07-11 Longjian Li , Alexis Akira Toda

We initiate the study of efficient mechanism design with guaranteed good properties even when players participate in multiple different mechanisms simultaneously or sequentially. We define the class of smooth mechanisms, related to smooth…

Computer Science and Game Theory · Computer Science 2012-11-07 Vasilis Syrgkanis , Eva Tardos

Cooperative behavior, where one individual incurs a cost to help another, is a wide spread phenomenon. Here we study direct reciprocity in the context of the alternating Prisoner's Dilemma. We consider all strategies that can be implemented…

Populations and Evolution · Quantitative Biology 2014-03-05 Benjamin M. Zagorsky , Johannes G. Reiter , Krishnendu Chatterjee , Martin A. Nowak

We revisit the problem of designing the profit-maximizing single-item auction, solved by Myerson in his seminal paper for the case in which bidder valuations are independently distributed. We focus on general joint distributions, seeking…

Computer Science and Game Theory · Computer Science 2012-05-15 Christos Papadimitriou , George Pierrakos

We study the design of mechanisms -- e.g., auctions -- when the designer does not control information flows between mechanism participants. A mechanism equilibrium is leakage-proof if no player conditions their actions on leaked…

Theoretical Economics · Economics 2025-11-04 Samuel Häfner , Marek Pycia , Haoyuan Zeng

We consider repeated multi-unit auctions with uniform pricing, which are widely used in practice for allocating goods such as carbon licenses. In each round, $K$ identical units of a good are sold to a group of buyers that have valuations…

Computer Science and Game Theory · Computer Science 2024-01-17 Simina Brânzei , Mahsa Derakhshan , Negin Golrezaei , Yanjun Han

We show that a competitive equilibrium always exists in combinatorial auctions with anonymous graphical valuations and pricing, using discrete geometry. This is an intuitive and easy-to-construct class of valuations that can model both…

Combinatorics · Mathematics 2021-11-08 Marie-Charlotte Brandenburg , Christian Haase , Ngoc Mai Tran
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