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This paper studies a spatial competition game between two firms that sell a homogeneous good at some pre-determined fixed price. A population of consumers is spread out over the real line, and the two firms simultaneously choose location in…

最优化与控制 · 数学 2020-01-31 Gaëtan Fournier , Karine Van Der Straeten , Jörgen Weibull

A new and relatively elementary approach is proposed for solving the problem of fair division of a continuous resource (measurable space, pie, etc.) between several participants, the selection criteria of which are described by charges…

动力系统 · 数学 2024-06-04 Michael Blank , Maxim Polyakov

The classic fair division problems assume the resources to be allocated are either divisible or indivisible, or contain a mixture of both, but the agents always have a predetermined and uncontroversial agreement on the (in)divisibility of…

计算机科学与博弈论 · 计算机科学 2025-03-31 Xiaohui Bei , Shengxin Liu , Xinhang Lu

Cooperative bargaining games are widely used to model resource allocation and conflict resolution. Traditional solutions assume the mediator can access agents utility function values and gradients. However, there is an increasing number of…

计算机科学与博弈论 · 计算机科学 2025-10-20 Kushagra Gupta , Surya Murthy , Mustafa O. Karabag , Ufuk Topcu , David Fridovich-Keil

In this paper we study the nonzero-sum Dynkin game in continuous time which is a two player non-cooperative game on stopping times. We show that it has a Nash equilibrium point for general stochastic processes. As an application, we…

证券定价 · 定量金融 2008-12-10 Said Hamadene , Jianfeng Zhang

We study a classic Bayesian mechanism design setting of monopoly problem for an additive buyer in the presence of budgets. In this setting a monopolist seller with $m$ heterogeneous items faces a single buyer and seeks to maximize her…

计算机科学与博弈论 · 计算机科学 2018-10-09 Yu Cheng , Nick Gravin , Kamesh Munagala , Kangning Wang

In the work the fair division problem for two participants in presence of both divisible and indivisible items is considered. The set of all divisions is formally described; it is demonstrated that fair (in terms of Brams and Taylor)…

经济学 · 定量金融 2016-07-11 Alexander Rubchinsky

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

计算机科学与博弈论 · 计算机科学 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

We introduce a two-agent problem which is inspired by price asymmetry arising from funding difference. When two parties have different funding rates, the two parties deduce different fair prices for derivative contracts even under the same…

数理金融 · 定量金融 2020-01-01 Junbeom Lee , Stephan Sturm , Chao Zhou

We consider transferable-utility profit-sharing games that arise from settings in which agents need to jointly choose one of several alternatives, and may use transfers to redistribute the welfare generated by the chosen alternative. One…

理论经济学 · 经济学 2019-09-26 Moshe Babaioff , Uriel Feige

Using duality theory techniques we derive simple, closed-form formulas for bounding the optimal revenue of a monopolist selling many heterogeneous goods, in the case where the buyer's valuations for the items come i.i.d. from a uniform…

计算机科学与博弈论 · 计算机科学 2015-10-14 Yiannis Giannakopoulos

We study markets of indivisible items in which price-based (Walrasian) equilibria often do not exist due to the discrete non-convex setting. Instead we consider Nash equilibria of the market viewed as a game, where players bid for items,…

计算机科学与博弈论 · 计算机科学 2011-03-22 Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Noam Nisan

The planner wants to give k identical, indivisible objects to the top k valuation agents at zero costs. Each agent knows her own valuation of the object and whether it is among the top k. Modify the (k+1)st-price sealed-bid auction by…

计算机科学与博弈论 · 计算机科学 2011-07-05 H. Reiju Mihara

We consider an extension of a noncooperative game problem where players have joint binding constraints. In this case, justification of a generalized equilibrium point needs a reasonable mechanism for attaining this state. We suggest to…

最优化与控制 · 数学 2020-03-24 I. V. Konnov

This work considers coordination and bargaining between two selfish users over a Gaussian interference channel using game theory. The usual information theoretic approach assumes full cooperation among users for codebook and rate selection.…

信息论 · 计算机科学 2016-11-17 Xi Liu , Elza Erkip

The $\alpha$-fair resource allocation problem has received remarkable attention and has been studied in numerous application fields. Several algorithms have been proposed in the context of $\alpha$-fair resource sharing to distributively…

网络与互联网体系结构 · 计算机科学 2018-02-09 Zaid Allybokus , Konstantin Avrachenkov , Jérémie Leguay , Lorenzo Maggi

This paper models a two-agent economy with production and appropriation as a noncooperative dynamic game, and determines its closed-form Markovian Nash equilibrium. The analysis highlights the para-metric conditions that tip the economy…

理论经济学 · 经济学 2023-04-05 Julio Huato

We consider a price competition between two sellers of perfect-complement goods. Each seller posts a price for the good it sells, but the demand is determined according to the sum of prices. This is a classic model by Cournot (1838), who…

计算机科学与博弈论 · 计算机科学 2017-06-02 Moshe Babaioff , Liad Blumrosen , Noam Nisan

We provide sufficient conditions for revenue maximization in a two-good monopoly where the buyer's values for the items come from independent (but not necessarily identical) distributions over bounded intervals. Under certain distributional…

计算机科学与博弈论 · 计算机科学 2015-11-24 Yiannis Giannakopoulos , Elias Koutsoupias

The idea of this paper is an advanced game concept. This concept is expected to model non-monetary bilateral cooperations between self-interested agents. Such non-monetary cases are social cooperations like allocation of high level jobs or…

计算机科学与博弈论 · 计算机科学 2009-05-25 Rustam Tagiew