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This paper discusses the connection between mathematical finance and statistical modelling which turns out to be more than a formal mathematical correspondence. We like to figure out how common results and notions in statistics and their…

Statistics Theory · Mathematics 2012-04-23 Arnold Janssen , Martin Tietje

The geometric and algebraic theory of valuations on cones is applied to understand identities involving summing certain rational functions over the set of linear extensions of a poset.

Combinatorics · Mathematics 2012-05-07 Adrien Boussicault , Valentin Feray , Alain Lascoux , Victor Reiner

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

There has been much recent work on the revenue-raising properties of truthful mechanisms for selling goods to selfish bidders. Typically the revenue of a mechanism is compared against a benchmark (such as, the maximum revenue obtainable by…

Computer Science and Game Theory · Computer Science 2013-01-14 Paul W. Goldberg , Carmine Ventre

In [1] we presented a model for transactions when goods are given away in the expectation of a later settlement. In settings where people keep track of their social accounts we were able to redefine concepts like account balance, yield…

General Finance · Quantitative Finance 2014-11-10 W. P. Weijland

We outline how modern likelihood theory, which provides essentially exact inferences in a variety of parametric statistical problems, may routinely be applied in practice. Although the likelihood procedures are based on analytical…

Methodology · Statistics 2009-06-23 Alessandra R. Brazzale , Anthony C. Davison

We develop an extension of valuations theorem for suitable extensions of idempotent semirings. As an application, we give a new proof for the classical case of fields. Along the way, we develop characteristic one analogues of some central…

Rings and Algebras · Mathematics 2016-08-23 Jeffrey Tolliver

We study the optimal auction design problem when bidders' preferences follow the maxmin expected utility model. We suppose that each bidder's set of priors consists of beliefs close to the seller's belief, where "closeness" is defined by a…

Theoretical Economics · Economics 2021-10-19 Sosung Baik , Sung-Ha Hwang

Among the existing E-Commerce applications, online auctions are the most influential ones. Their impact on trading in the B2B (business to business) as well as in the B2C (business to consumer) and C2C (consumer to consumer) areas will be…

Software Engineering · Computer Science 2014-09-24 Bernhard Rumpe , Guido Wimmel

In classic auction theory, reserve prices are known to be effective for improving revenue for the auctioneer against quasi-linear utility maximizing bidders. The introduction of reserve prices, however, usually do not help improve total…

Computer Science and Game Theory · Computer Science 2021-11-05 Santiago Balseiro , Yuan Deng , Jieming Mao , Vahab Mirrokni , Song Zuo

Auctions are key for maximizing sellers' revenue and ensuring truthful bidding among buyers. Recently, an approach known as differentiable economics based on machine learning (ML) has shown promise in learning powerful auction mechanisms…

Computer Science and Game Theory · Computer Science 2025-10-02 Roy Maor Lotan , Inbal Talgam-Cohen , Yaniv Romano

In auction theory, cryptography has been used to achieve anonymity of the participants, security and privacy of the bids, secure computation and to simulate mediator (auctioneer). Auction theory focuses on revenue and Cryptography focuses…

Computer Science and Game Theory · Computer Science 2012-10-25 Amjed Shareef

Designing an incentive compatible auction that maximizes expected revenue is a central problem in Auction Design. While theoretical approaches to the problem have hit some limits, a recent research direction initiated by Duetting et al.…

Computer Science and Game Theory · Computer Science 2021-10-26 Jad Rahme , Samy Jelassi , S. Matthew Weinberg

In general it is not clear which kind of information is supposed to be used for calculating the fair value of a contingent claim. Even if the information is specified, it is not guaranteed that the fair value is uniquely determined by the…

General Finance · Quantitative Finance 2016-02-01 Gabriel Frahm

The existing literature on optimal auctions focuses on optimizing the expected revenue of the seller, and is appropriate for risk-neutral sellers. In this paper, we identify good mechanisms for risk-averse sellers. As is standard in the…

Computer Science and Game Theory · Computer Science 2010-04-02 Mukund Sundararajan , Qiqi Yan

We study multidimensional mechanism design in a common scenario where players have private information about their willingness to pay and their ability to pay. We provide a complete characterization of dominant-strategy incentive-compatible…

Computer Science and Game Theory · Computer Science 2014-05-01 Ahuva Mualem

We use formal methods to specify, design, and monitor continuous double auctions, which are widely used to match buyers and sellers at exchanges of foreign currencies, stocks, and commodities. We identify three natural properties of such…

Logic in Computer Science · Computer Science 2022-10-12 Mohit Garg , Suneel Sarswat

We consider the fundamental problem of designing a truthful single-item auction with the challenging objective of extracting a large fraction of the highest agent valuation as revenue. Following a recent trend in algorithm design, we assume…

Computer Science and Game Theory · Computer Science 2024-01-25 Ioannis Caragiannis , Georgios Kalantzis

Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

Models to price long term loans in the securities lending business are developed. These longer horizon deals can be viewed as contracts with optionality embedded in them. This insight leads to the usage of established methods from…

Pricing of Securities · Quantitative Finance 2022-03-29 Ravi Kashyap
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