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When applied to the same game, probability theory and game theory can disagree on calculated values of the Fisher information, the log likelihood function, entropy gradients, the rank and Jacobian of variable transforms, and even the…

Computer Science and Game Theory · Computer Science 2012-08-21 Michael J. Gagen

We extend the classic regret minimization framework for approximating equilibria in normal-form games by greedily weighing iterates based on regrets observed at runtime. Theoretically, our method retains all previous convergence rate…

Computer Science and Game Theory · Computer Science 2022-04-12 Hugh Zhang , Adam Lerer , Noam Brown

We introduce a new framework to study the group dynamics and game-theoretic considerations when voters in a committee are allowed to trade votes. This model represents a significant step forward by considering vote-for-vote trades in a…

Theoretical Economics · Economics 2024-06-17 Matthew I. Jones

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

Probability · Mathematics 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

We consider average-energy games, where the goal is to minimize the long-run average of the accumulated energy. While several results have been obtained on these games recently, decidability of average-energy games with a lower-bound…

Logic in Computer Science · Computer Science 2017-01-16 Patricia Bouyer , Piotr Hofman , Nicolas Markey , Mickael Randour , Martin Zimmermann

A sequence of spin-1/2 particles polarised in one of two possible directions is presented to an experimenter, who can wager in a double-or-nothing game on the outcomes of measurements in freely chosen polarisation directions. Wealth is…

Quantum Physics · Physics 2023-08-03 Bernhard K Meister , Henry C W Price

The biased interaction game described the operation of systems rooted in boundedly rational interactions under conditions of scarcity. The game explored the influence of bias and demonstrated how hierarchy and inequality are emergent system…

Computer Science and Game Theory · Computer Science 2026-03-10 Phil Mercy , Martin Neil

We compare the notions "Decisiveness" and "Success" for certain weighted voting systems and various underlying voting measures. In particular, we compute the success rate for the Shapley-Shubik meassure and, more generally, for Common…

General Mathematics · Mathematics 2017-06-27 Werner Kirsch

We consider a sender-receiver game in which the receiver's action is binary and the sender's preferences are state-independent. The state is multidimensional. The receiver can select one dimension of the state to check (i.e., observe)…

Theoretical Economics · Economics 2026-03-12 Ian Ball , Xin Gao

Limited Voting (LV) is an approval-based method for multi-winner elections where all ballots are required to have a same fixed size. While it appears to be used as voting method in corporate governance and has some political applications,…

Computer Science and Game Theory · Computer Science 2024-07-26 Maaike Venema-Los , Zoé Christoff , Davide Grossi

We study linguistic indirectness when speakers attend to social ties. Social ties are modeled by a graph, and conferences are the sets of nodes that hear a message. Conference worth is a distance polynomial on the graph; allocations are…

Theoretical Economics · Economics 2025-11-12 Liping Tang , Michiko Ogaku

We present a unified approach, based on dominating families in binary relations, for the study of topological properties defined in terms of selection principles and the games associated to them.

General Topology · Mathematics 2014-05-21 Rodrigo R. Dias , Marion Scheepers

We develop a constrained bimatrix game framework that can be used to model many practical problems in many disciplines, including jamming in packetized wireless networks. In contrast to the widely used zero-sum framework, in bimatrix games…

Information Theory · Computer Science 2024-10-30 Koorosh Firouzbakht , Guevara Noubir , Masoud Salehi

Distribution of seats in The European Parliament postulated by Treaty of Lisbon should be degressively proportional. The meaning of degressively proportional concept can be found in two principles annexed to the draft of European Parliament…

Physics and Society · Physics 2011-04-29 Jan Florek

We introduce a class of cooperative games induced by weighted directed graphs. Specifically, the coalitional value combines an internal interaction term given by the induced subgraph game with an external component based on minimal incoming…

Computer Science and Game Theory · Computer Science 2026-05-19 David Ryzák , Tomáš Kroupa

We consider a security game in a setting consisting of two players (an attacker and a defender), each with a given budget to allocate towards attack and defense, respectively, of a set of nodes. Each node has a certain value to the attacker…

Systems and Control · Electrical Eng. & Systems 2021-03-08 Mustafa Abdallah , Timothy Cason , Saurabh Bagchi , Shreyas Sundaram

A binary game is introduced and analysed. N players have to choose one of the two sides independently and those on the minority side win. Players uses a finite set of ad hoc strategies to make their decision, based on the past record. The…

adap-org · Physics 2015-06-24 Damien Challet , Yi-Cheng Zhang

We study the structural complexity of bimatrix games, formalized via rank, from an empirical perspective. We consider a setting where we have data on player behavior in diverse strategic situations, but where we do not observe the relevant…

Computer Science and Game Theory · Computer Science 2013-05-16 Siddharth Barman , Umang Bhaskar , Federico Echenique , Adam Wierman

We revisit the May and June 2012 Greek Parliamentary elections and the December 2014 Presidential election that was held by the June-elected Parliament. The three voting instances provide a political field experiment for the application of…

Computer Science and Game Theory · Computer Science 2018-12-27 Constandina Koki , Stefanos Leonardos

Extensive-form games constitute the standard representation scheme for games with a temporal component. But do all extensive-form games correspond to protocols that we can implement in the real world? We often rule out games with imperfect…

Computer Science and Game Theory · Computer Science 2015-02-12 Sune K. Jakobsen , Troels B. Sørensen , Vincent Conitzer
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