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We provide a constructive proof of Border's theorem [Bor91, HR15a] and its generalization to reduced-form auctions with asymmetric bidders [Bor07, MV10, CKM13]. Given a reduced form, we identify a subset of Border constraints that are…

Computer Science and Game Theory · Computer Science 2017-11-21 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

Optimization and Control · Mathematics 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

We develop a version of the fundamental theorem of asset pricing for discrete-time markets with proportional transaction costs and model uncertainty. A robust notion of no-arbitrage of the second kind is defined and shown to be equivalent…

Mathematical Finance · Quantitative Finance 2014-08-26 Bruno Bouchard , Marcel Nutz

We define a model of interactive communication where two agents with private types can exchange information before a game is played. The model contains Bayesian persuasion as a special case of a one-round communication protocol. We define…

Computer Science and Game Theory · Computer Science 2021-06-07 Jieming Mao , Renato Paes Leme , Kangning Wang

We bring forward a logical system of transition algebras that enhances many-sorted first-order logic using features from dynamic logics. The sentences we consider include compositions, unions, and transitive closures of transition…

Logic in Computer Science · Computer Science 2024-04-26 Hashimoto Go , Daniel Găină , Ionuţ Ţuţu

This paper concerns the convergence of an iterative scheme for 2D stochastic primitive equations on a bounded domain. The stochastic system is split into two equations: a deterministic 2D primitive equations with random initial value and a…

Probability · Mathematics 2019-07-09 Xuhui Peng , Rangrang Zhang

Deterministic models are approximations of reality that are easy to interpret and often easier to build than stochastic alternatives. Unfortunately, as nature is capricious, observational data can never be fully explained by deterministic…

Machine Learning · Computer Science 2020-03-31 Andrew Warrington , Saeid Naderiparizi , Frank Wood

A negotiation process by 2 agents e1 and e2 can be interleaved by another negotiation process between, say, e1 and e3. The interleaving may alter the resource allocation assumed at the inception of the first negotiation process. Existing…

Artificial Intelligence · Computer Science 2020-01-24 Ryuta Arisaka , Takayuki Ito

As recommender systems are being designed and deployed for an increasing number of socially-consequential applications, it has become important to consider what properties of fairness these systems exhibit. There has been considerable…

Information Retrieval · Computer Science 2020-09-08 Nasim Sonboli , Robin Burke , Nicholas Mattei , Farzad Eskandanian , Tian Gao

We study equilibria in two-buyer sequential second-price (or first-price) auctions for identical goods. Buyers have weakly decreasing incremental values, and we make a behavioural no-overbidding assumption: the buyers do not bid above their…

Computer Science and Game Theory · Computer Science 2020-06-08 Mete Şeref Ahunbay , Brendan Lucier , Adrian Vetta

A negotiation team is a set of agents with common and possibly also conflicting preferences that forms one of the parties of a negotiation. A negotiation team is involved in two decision making processes simultaneously, a negotiation with…

Multiagent Systems · Computer Science 2016-04-19 Victor Sanchez-Anguix , Reyhan Aydogan , Vicente Julian , Catholijn Jonker

The asymptotic behavior (such as convergence to an equilibrium, convergence to a 2-cycle, and divergence to infinity) of solutions of the following multi-parameter, rational, second order difference equation x_{n+1} =(ax_{n}^3+…

Dynamical Systems · Mathematics 2010-11-17 M. Shojaei

Evaluation of conversational naturalness is essential for developing human-like speech agents. However, existing speech naturalness predictors are often designed to assess utterances from a single speaker, failing to capture…

Audio and Speech Processing · Electrical Eng. & Systems 2026-03-03 Anfeng Xu , Yashesh Gaur , Naoyuki Kanda , Zhicheng Ouyang , Katerina Zmolikova , Desh Raj , Simone Merello , Anna Sun , Ozlem Kalinli

This paper examines the integration of computational complexity into game theoretic models. The example focused on is the Prisoner's Dilemma, repeated for a finite length of time. We show that a minimal bound on the players' computational…

Computer Science and Game Theory · Computer Science 2007-05-23 Yishay Mor , Jeffrey S. Rosenschein

We study the problem of multilateral collaboration among agents with transferable utilities. Any group of agents can sign a contract consisting of a primitive contract and monetary transfers among the signatories. We propose a dynamic…

Theoretical Economics · Economics 2024-11-12 Chao Huang

People often face trade-offs between costs and benefits occurring at various points in time. The predominant discounting approach is to use the exponential form. Central to this approach is the discount rate, a unique parameter that…

Theoretical Economics · Economics 2024-08-13 Bach Dong-Xuan , Philippe Bich

Noise and spatial degrees of freedom characterize most ecosystems. Some aspects of their influence on the coevolution of populations with cyclic interspecies competition have been demonstrated in recent experiments [e.g. B. Kerr et al.,…

Populations and Evolution · Quantitative Biology 2007-12-08 Tobias Reichenbach , Mauro Mobilia , Erwin Frey

We consider multi-agent argumentation, where each agent's view of the arguments is encoded as an argumentation framework (AF). Then we study deliberative processes than can occur on this basis. We think of a deliberative process as taking…

Logic in Computer Science · Computer Science 2014-08-08 Truls Pedersen , Sjur Dyrkolbotn

In this paper we will see deductive systems for classical propositional and predicate logic in the calculus of structures. Like sequent systems, they have a cut rule which is admissible. In addition, they enjoy a top-down symmetry and some…

Logic · Mathematics 2009-09-29 Kai Bruennler

When the information about uncertainty cannot be quantified in a simple, probabilistic way, the topic of possibilistic decision theory is often a natural one to consider. The development of possibilistic decision theory has lead to a series…

Artificial Intelligence · Computer Science 2012-02-20 Helene Fargier , Nahla Ben Amor , Wided Guezguez
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