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Self-similarity is the property of a system being similar to a part of itself. We posit that a special class of behaviourally self-similar systems exhibits a degree of resilience to adversarial behaviour. We formalise the notions of system,…

Programming Languages · Computer Science 2016-08-11 Sanjiva Prasad , Lenore D. Zuck

Bayesian regression games are a special class of two-player general-sum Bayesian games in which the learner is partially informed about the adversary's objective through a Bayesian prior. This formulation captures the uncertainty in regard…

Machine Learning · Computer Science 2021-10-04 Wenshuo Guo , Michael I. Jordan , Tianyi Lin

Many real-world voting systems consist of voters that occur in just two different types. Indeed, each voting system with a {\lq\lq}House{\rq\rq} and a {\lq\lq}Senat{\rq\rq} is of that type. Here we present structural characterizations and…

Combinatorics · Mathematics 2021-12-02 Sascha Kurz , Dani Samaniego

The number of quantifiers needed to express first-order properties is captured by two-player combinatorial games called multi-structural (MS) games. We play these games on linear orders and strings, and introduce a technique we call…

Logic in Computer Science · Computer Science 2024-04-08 Marco Carmosino , Ronald Fagin , Neil Immerman , Phokion Kolaitis , Jonathan Lenchner , Rik Sengupta , Ryan Williams

This paper identifies a manifold in the space of bimatrix games which contains games that are strategically equivalent to rank-1 games through a positive affine transformation. It also presents an algorithm that can compute, in polynomial…

Computer Science and Game Theory · Computer Science 2019-04-10 Joseph L. Heyman

Infinite games where several players seek to coordinate under imperfect information are deemed to be undecidable, unless the information is hierarchically ordered among the players. We identify a class of games for which joint winning…

Computer Science and Game Theory · Computer Science 2015-07-29 Dietmar Berwanger , Anup Basil Mathew

Mutual imitation games among artificial birds are studied. By employing a variety of mappings and game rules, the evolution to the edge between chaos and windows is universally confirmed. Some other general features are observed, including…

adap-org · Physics 2008-02-03 Kunihiko Kaneko , Junji Suzuki

This paper has two central aims: first, to provide simple conditions under which the generalized games in choice form and, consequently, the abstract economies, admit equilibrium; second, to study the solvability of several types of systems…

Optimization and Control · Mathematics 2016-05-17 Monica Patriche

The manual implementation of distributed systems is an error-prone task because of the asynchronous interplay of components and the environment. Bounded synthesis automatically generates an implementation for the specification of the…

Logic in Computer Science · Computer Science 2020-04-27 Jesko Hecking-Harbusch , Niklas O. Metzger

We show equivalences between several high-dimensional problems in extremal combinatorics and parallel repetition of multiplayer (multiprover) games over large answer alphabets. This extends the forbidden-subgraph technique, previously…

Computational Complexity · Computer Science 2025-10-30 Kunal Mittal

To predict the behavior of a population game when time becomes very long, the process that characterizes the evolution of our game dynamics must be reversible. Known games satisfying this are 2 strategy games as well as potential games with…

Computer Science and Game Theory · Computer Science 2023-01-09 Meziane Privat

We present a robust framework with computational algorithms to support decision makers in sequential games. Our framework includes methods to solve games with complete information, assess the robustness of such solutions and, finally,…

Computation · Statistics 2024-02-22 Tahir Ekin , Roi Naveiro , Alberto Torres-Barrán , David Ríos-Insua

Reversible systems feature both forward computations and backward computations, where the latter undo the effects of the former in a causally consistent manner. The compositionality properties and equational characterizations of strong and…

Logic in Computer Science · Computer Science 2023-10-03 Marco Bernardo , Andrea Esposito

We provide the first generalized game characterization of van Glabbeek's linear-time--branching-time spectrum with silent steps. Thereby, one multi-dimensional energy game can be used to characterize and decide a wide array of weak…

Logic in Computer Science · Computer Science 2024-11-25 Benjamin Bisping , David N. Jansen

We consider two-player games played over finite state spaces for an infinite number of rounds. At each state, the players simultaneously choose moves; the moves determine a successor state. It is often advantageous for players to choose…

Logic in Computer Science · Computer Science 2015-07-01 Luca de Alfaro , Rupak Majumdar , Vishwanath Raman , Mariëlle Stoelinga

We introduce the notion of linearly representable games. Broadly speaking, these are TU games that can be described by as many parameters as the number of players, like weighted voting games, airport games, or bankruptcy games. We show that…

Computer Science and Game Theory · Computer Science 2024-11-11 Ferenc Illés

We prove the almost equivalence of the minimax theorem and the strong duality theorem for a large class of games and conic programs. The previous fundamental results on the equivalence of linear programming and two-player zero-sum games…

Optimization and Control · Mathematics 2026-04-14 Nikos Dimou

We provide a fine classification of bisimilarities between states of possibly different labelled Markov processes (LMP). We show that a bisimilarity relation proposed by Panangaden that uses direct sums coincides with "event bisimilarity"…

Logic in Computer Science · Computer Science 2024-10-10 Martín Santiago Moroni , Pedro Sánchez Terraf

A game-theoretic setting provides a mathematical basis for analysis of strategic interaction among competing agents and provides insights into both classical and quantum decision theory and questions of strategic choice. An outstanding…

Quantum Physics · Physics 2018-07-24 Azhar Iqbal , James M. Chappell , Derek Abbott

We devise two complementary characterizations of hereditary history-preserving bisimilarity (HHPB): a denotational one, based on stable configuration structures, and an operational one, formulated in a reversible process calculus. Our…

Logic in Computer Science · Computer Science 2025-12-09 Marco Bernardo , Andrea Esposito , Claudio A. Mezzina
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