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Nash`s classical bargaining solution suggests that n players in a non-cooperative bargaining situation should find a solution that maximizes the product of each player's utility functions. We consider a special case: Suppose that the…

Analysis of PDEs · Mathematics 2017-12-21 Micah Warren

In this paper, we introduce an improved upper bound for the efficiency of Nash equilibria in utilitarian scheduling games on related machines. The machines have varying speeds and adhere to the Shortest Processing Time (SPT) policy as the…

Computer Science and Game Theory · Computer Science 2024-01-12 Andre Berger , Arman Rouhani , Marc Schröder

In this paper, we study the Nash dynamics of strategic interplays of n buyers in a matching market setup by a seller, the market maker. Taking the standard market equilibrium approach, upon receiving submitted bid vectors from the buyers,…

Computer Science and Game Theory · Computer Science 2011-03-23 Ning Chen , Xiaotie Deng

We analyse the computational complexity of finding Nash equilibria in stochastic multiplayer games with $\omega$-regular objectives. While the existence of an equilibrium whose payoff falls into a certain interval may be undecidable, we…

Computer Science and Game Theory · Computer Science 2010-06-24 Michael Ummels , Dominik Wojtczak

We consider two classes of constrained finite state-action stochastic games. First, we consider a two player nonzero sum single controller constrained stochastic game with both average and discounted cost criterion. We consider the same…

Optimization and Control · Mathematics 2012-06-11 Vikas Vikram Singh , N. Hemachandra

We derive the rate of convergence to Nash equilibria for the payoff-based algorithm proposed in \cite{tat_kam_TAC}. These rates are achieved under the standard assumption of convexity of the game, strong monotonicity and differentiability…

Optimization and Control · Mathematics 2022-02-24 Tatiana Tatarenko , Maryam Kamgarpour

We generalize the notions of user equilibrium and system optimum to non-atomic congestion games with stochastic demands. We establish upper bounds on the price of anarchy for three different settings of link cost functions and demand…

Computer Science and Game Theory · Computer Science 2013-10-21 Chenlan Wang , Xuan Vinh Doan , Bo Chen

We investigate a spectrum oligopoly market where primaries lease their channels to secondaries in lieu of financial remuneration. Transmission quality of a channel evolves randomly. Each primary has to select the price it would quote…

Computer Science and Game Theory · Computer Science 2015-05-22 Arnob Ghosh , Saswati Sarkar

A supermarket game is considered with $N$ FCFS queues with unit exponential service rate and global Poisson arrival rate $N \lambda$. Upon arrival each customer chooses a number of queues to be sampled uniformly at random and joins the…

Information Theory · Computer Science 2012-12-27 Jiaming Xu , Bruce Hajek

Many economic transactions, including those of online markets, have a time lag between the start and end times of transactions. Customers need to wait for completion of their transaction (order fulfillment) and hence are also interested in…

Optimization and Control · Mathematics 2018-10-19 Manu K. Gupta , N. Hemachandra

This paper develops a strategic model of trade between two regions in which, depending on the relation among output, financial resources and transportation costs, the adjustment of prices towards an equilibrium is studied. We derive…

Optimization and Control · Mathematics 2008-05-21 Iordan V. Iordanov , Stoyan V. Stoyanov , Andrey A. Vassilev

Constraints on agent's ability to pay play a major role in auction design for any setting where the magnitude of financial transactions is sufficiently large. Those constraints have been traditionally modeled in mechanism design as…

Computer Science and Game Theory · Computer Science 2014-04-22 Gagan Goel , Vahab Mirrokni , Renato Paes Leme

We study a static game played by a finite number of agents, in which agents are assigned independent and identically distributed random types and each agent minimizes its objective function by choosing from a set of admissible actions that…

Probability · Mathematics 2017-02-08 Daniel Lacker , Kavita Ramanan

We study Nash equilibria and the price of anarchy in the classic model of Network Creation Games introduced by Fabrikant et al. In this model every agent (node) buys links at a prefixed price $\alpha > 0$ in order to get connected to the…

Computer Science and Game Theory · Computer Science 2018-09-24 C. Àlvarez , A. Messegué

There has been substantial recent concern that pricing algorithms might learn to ``collude.'' Supra-competitive prices can emerge as a Nash equilibrium of repeated pricing games, in which sellers play strategies which threaten to punish…

Computer Science and Game Theory · Computer Science 2024-12-17 Eshwar Ram Arunachaleswaran , Natalie Collina , Sampath Kannan , Aaron Roth , Juba Ziani

In a two-round auction, a subset of bidders is selected (probabilistically), according to their bids in the first round, for the second round, where they can increase their bids. We formalize the two-round auction model, restricting the…

Computer Science and Game Theory · Computer Science 2023-12-08 Chulong Zhong , Xiang Yan , Yuyi Wang , Shuangping Huang , Jin Zhong

Designing incentives for a multi-agent system to induce a desirable Nash equilibrium is both a crucial and challenging problem appearing in many decision-making domains, especially for a large number of agents $N$. Under the exchangeability…

Computer Science and Game Theory · Computer Science 2025-10-27 Nathan Corecco , Batuhan Yardim , Vinzenz Thoma , Zebang Shen , Niao He

Despite a substantial body of theoretical and empirical research in the fields of conjoint and discrete choice analysis as well as product line optimization, relatively few papers focused on the simulation of subsequent competitive dynamics…

Econometrics · Economics 2025-12-30 Jan H. R. Dressler , Peter Kurz , Winfried J. Steiner

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

We study competitive equilibrium in the canonical Fisher market model, but with indivisible goods. In this model, every agent has a budget of artificial currency with which to purchase bundles of goods. Equilibrium prices match between…

Computer Science and Game Theory · Computer Science 2019-11-25 Moshe Babaioff , Noam Nisan , Inbal Talgam-Cohen