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In this paper we introduce and study {\em all-pay bidding games}, a class of two player, zero-sum games on graphs. The game proceeds as follows. We place a token on some vertex in the graph and assign budgets to the two players. Each turn,…

Computer Science and Game Theory · Computer Science 2019-11-20 Guy Avni , Rasmus Ibsen-Jensen , Josef Tkadlec

In this paper, we study the strategic allocation of limited resources using a Colonel Blotto game (CBG) under a dynamic setting and analyze the problem using an online learning approach. In this model, one of the players is a learner who…

Machine Learning · Computer Science 2023-09-13 Vincent Leon , S. Rasoul Etesami

Real-time bidding (RTB) is an important mechanism in online display advertising, where a proper bid for each page view plays an essential role for good marketing results. Budget constrained bidding is a typical scenario in RTB where the…

Artificial Intelligence · Computer Science 2018-10-24 Di Wu , Xiujun Chen , Xun Yang , Hao Wang , Qing Tan , Xiaoxun Zhang , Jian Xu , Kun Gai

We consider a contest game modelling a contest where reviews for $m$ proposals are crowdsourced from $n$ strategic agents} players. Player $i$ has a skill $s_{i\ell}$ for reviewing proposal $\ell$; for her review, she strategically chooses…

Computer Science and Game Theory · Computer Science 2023-05-17 Marios Mavronicolas , Paul G. Spirakis

In today's dynamic and interconnected world, resource constraints pose significant challenges across various domains, ranging from networks, logistics and manufacturing to project management and optimization, etc. Resource-constrained…

Computer Science and Game Theory · Computer Science 2023-11-09 Shiksha Singhal

We consider two-player games played on finite graphs equipped with costs on edges and introduce two winning conditions, cost-parity and cost-Streett, which require bounds on the cost between requests and their responses. Both conditions…

Logic in Computer Science · Computer Science 2015-07-01 Nathanaël Fijalkow , Martin Zimmermann

Energy games are infinite two-player games played in weighted arenas with quantitative objectives that restrict the consumption of a resource modeled by the weights, e.g., a battery that is charged and drained. Typically, upper and/or lower…

Computer Science and Game Theory · Computer Science 2016-10-27 Kim G. Larsen , Simon Laursen , Martin Zimmermann

This paper studies a setting in which multiple suppliers compete for a buyer's procurement business. The buyer faces uncertain demand and there is a requirement to reserve capacity in advance of knowing the demand. Each supplier has costs…

Computer Science and Game Theory · Computer Science 2019-05-28 Edward Anderson , Bo Chen , Lusheng Shao

We consider graph games of infinite duration with winning conditions in parameterized linear temporal logic, where the temporal operators are equipped with variables for time bounds. In model checking such specifications were introduced as…

Computer Science and Game Theory · Computer Science 2011-06-08 Martin Zimmermann

A tournament is a method to decide the winner in a competition, and describes the overall sequence in which matches between the players are held. While deciding a worthy winner is the primary goal of a tournament, a close second is to…

Data Structures and Algorithms · Computer Science 2025-02-19 Umang Bhaskar , Juhi Chaudhary , Palash Dey

We investigate zero-sum turn-based two-player stochastic games in which the objective of one player is to maximize the amount of rewards obtained during a play, while the other aims at minimizing it. We focus on games in which the minimizer…

Logic in Computer Science · Computer Science 2022-05-20 Pablo F. Castro , Pedro R. D'Argenio , Luciano Putruele , Ramiro Demasi

We study a stochastic game framework with dynamic set of players, for modeling and analyzing their computational investment strategies in distributed computing. Players obtain a certain reward for solving the problem or for providing their…

Computer Science and Game Theory · Computer Science 2019-11-19 Swapnil Dhamal , Walid Ben-Ameur , Tijani Chahed , Eitan Altman , Albert Sunny , Sudheer Poojary

We develop a game-theoretic framework for the study of competition between firms who have budgets to "seed" the initial adoption of their products by consumers located in a social network. The payoffs to the firms are the eventual number of…

Computer Science and Game Theory · Computer Science 2012-04-24 Sanjeev Goyal , Michael Kearns

Internet advertising is a sophisticated game in which the many advertisers "play" to optimize their return on investment. There are many "targets" for the advertisements, and each "target" has a collection of games with a potentially…

Computational Complexity · Computer Science 2015-03-13 Bhaskar DasGupta , S. Muthukrishnan

We study a game between autobidding algorithms that compete in an online advertising platform. Each autobidder is tasked with maximizing its advertiser's total value over multiple rounds of a repeated auction, subject to budget and…

Computer Science and Game Theory · Computer Science 2024-12-03 Brendan Lucier , Sarath Pattathil , Aleksandrs Slivkins , Mengxiao Zhang

We study dynamic multi-battle contests and examine how the contest structure shapes dynamic incentives and determines the extent of rent dissipation. A discouragement effect often arises -- such as in tug-of-war and best-of-$K$ contests --…

Theoretical Economics · Economics 2026-04-23 Shanglyu Deng , Qiang Fu , Junchi Li , Zenan Wu

Internet search companies sell advertisement slots based on users' search queries via an auction. While there has been a lot of attention on the auction process and its game-theoretic aspects, our focus is on the advertisers. In particular,…

Data Structures and Algorithms · Computer Science 2007-05-23 Jon Feldman , S. Muthukrishnan , Martin Pal , Cliff Stein

We discuss a duel-type game in which Player I uses his resource continuously and Player II distributes it by discrete portions. Each player knows how much resources he and his opponent have at every moment of time. The solution of the game…

Optimization and Control · Mathematics 2009-10-06 Lyubov N. Positselskaya

In tug-of-war, two players compete by moving a counter along edges of a graph, each winning the right to move at a given turn according to the flip of a possibly biased coin. The game ends when the counter reaches the boundary, a fixed…

Probability · Mathematics 2026-02-10 Yujie Fu , Alan Hammond , Gábor Pete

In an auction each party bids a certain amount and the one which bids the highest is the winner. Interestingly, auctions can also be used as models for other real-world systems. In an all pay auction all parties must pay a forfeit for…

Theoretical Economics · Economics 2026-03-04 Benjamin Kang , James Unwin