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To be the fittest is central to proliferation in evolutionary games. Individuals thus adopt the strategies of better performing players in the hope of successful reproduction. In structured populations the array of those that are eligible…

Physics and Society · Physics 2010-12-09 Matjaz Perc , Zhen Wang

We develop a method based on computer algebra systems to represent the mutual pure strategy best-response dynamics of symmetric two-player, two-action repeated games played by players with a one-period memory. We apply this method to the…

Dynamical Systems · Mathematics 2022-10-04 Janusz M Meylahn , Lars Janssen

In this paper, we explore aggregative games over networks of multi-integrator agents with coupled constraints. To reach the general Nash equilibrium of an aggregative game, a distributed strategy-updating rule is proposed by a combination…

Optimization and Control · Mathematics 2023-02-27 Xin Cai , Feng Xiao , Bo Wei

We study repeated two-player games where one of the players, the learner, employs a no-regret learning strategy, while the other, the optimizer, is a rational utility maximizer. We consider general Bayesian games, where the payoffs of both…

Machine Learning · Computer Science 2022-05-19 Yishay Mansour , Mehryar Mohri , Jon Schneider , Balasubramanian Sivan

We propose a generic mechanism for incentivizing behavior in an arbitrary finite game using payments. Doing so is trivial if the mechanism is allowed to observe all actions taken in the game, as this allows it to simply punish those agents…

Computer Science and Game Theory · Computer Science 2023-04-05 Nikolaj I. Schwartzbach

We introduce a model of sender-receiver stopping games, where the state of the world follows an iid--process throughout the game. At each period, the sender observes the current state, and sends a message to the receiver, suggesting either…

Computer Science and Game Theory · Computer Science 2020-04-07 Aditya Aradhye , János Flesch , Mathias Staudigl , Dries Vermeulen

In this paper, we delve into the problem of using monetary incentives to encourage players to shift from an initial Nash equilibrium to a more favorable one within a game. Our main focus revolves around computing the minimum reward required…

Computer Science and Game Theory · Computer Science 2023-12-14 Haoqiang Huang , Zihe Wang , Zhide Wei , Jie Zhang

Inspired by Internet ad auction applications, we study the problem of allocating a single item via an auction when bidders place very different values on the item. We formulate this as the problem of prior-free auction and focus on…

Computer Science and Game Theory · Computer Science 2009-09-30 Vahab Mirrokni , S. Muthukrishnan , Uri Nadav

We consider {\em bidding games}, a class of two-player zero-sum {\em graph games}. The game proceeds as follows. Both players have bounded budgets. A token is placed on a vertex of a graph, in each turn the players simultaneously submit…

Computer Science and Game Theory · Computer Science 2023-07-31 Guy Avni , Tobias Meggendorfer , Suman Sadhukhan , Josef Tkadlec , Đorđe Žikelić

We study the pay-as-bid auction game, a supply function model with discriminatory pricing and asymmetric firms. In this game, strategies are non-decreasing supply functions relating pric to quantity and the exact choice of the strategy…

Optimization and Control · Mathematics 2025-04-23 Martina Vanelli , Giacomo Como , Fabio Fagnani

In this paper, we introduce and study a class of games called price-coupling games that arise in many scenarios, especially in the electricity industry. In a price-coupling game, there is a part of the objective function of a player which…

Optimization and Control · Mathematics 2019-01-08 Mathew P. Abraham , Ankur A. Kulkarni

We demonstrate the usefulness of adding delay to infinite games with quantitative winning conditions. In a delay game, one of the players may delay her moves to obtain a lookahead on her opponent's moves. We show that determining the winner…

Computer Science and Game Theory · Computer Science 2017-04-21 Martin Zimmermann

We study the computation contests where players compete for searching a solution to a given problem with a winner-take-all reward. The search processes are independent across the players and the search speeds of players are proportional to…

Computer Science and Game Theory · Computer Science 2019-02-26 Yulong Zeng , Song Zuo

In this paper, we formulate an evolutionarymultiple access control game with continuousvariable actions and coupled constraints. We characterize equilibria of the game and show that the pure equilibria are Pareto optimal and also resilient…

Computer Science and Game Theory · Computer Science 2015-03-19 Quanyan Zhu , Hamidou Tembine , Tamer Basar

In this paper, we establish the existence of optimal bounded memory strategy profiles in multi-player discounted sum games. We introduce a non-deterministic approach to compute optimal strategy profiles with bounded memory. Our approach can…

Computer Science and Game Theory · Computer Science 2015-09-25 Anshul Gupta , Sven Schewe , Dominik Wojtczak

We study an auction with $m$ identical items in a context where $n$ agents can arbitrarily commit to strategies. In general, such commitments non-trivially change the equilibria by inducing a metagame of choosing which strategies to commit…

Computer Science and Game Theory · Computer Science 2023-05-04 Daji Landis , Nikolaj I. Schwartzbach

In a two-player zero-sum graph game the players move a token throughout a graph to produce an infinite path, which determines the winner or payoff of the game. Traditionally, the players alternate turns in moving the token. In {\em bidding…

Theoretical Economics · Economics 2020-12-22 Guy Avni , Ismaël Jecker , Đorđe Žikelić

We propose an adaptive incentive mechanism that learns the optimal incentives in environments where players continuously update their strategies. Our mechanism updates incentives based on each player's externality, defined as the difference…

Computer Science and Game Theory · Computer Science 2025-03-04 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

Evolutionary Prisoner's Dilemma games with quenched inhomogeneities in the spatial dynamical rules are considered. The players following one of the two pure strategies (cooperation or defection) are distributed on a two-dimensional lattice.…

Populations and Evolution · Quantitative Biology 2007-05-23 Attila Szolnoki , Gyorgy Szabo

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