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In this paper, we introduce a novel equilibrium concept, called the equilibrium cycle, which seeks to capture the outcome of oscillatory game dynamics. Unlike the (pure) Nash equilibrium, which defines a fixed point of mutual best…

Theoretical Economics · Economics 2025-10-07 Tushar Shankar Walunj , Shiksha Singhal , Veeraruna Kavitha , Jayakrishnan Nair

In a many-to-one matching market, we analyze the matching game induced by a stable rule when firms' choice function satisfy substitutability. We show that any stable rule implements the individually rational correspondence in Nash…

Theoretical Economics · Economics 2024-04-29 Noelia Juarez , Paola B. Manasero , Jorge Oviedo

Smart Contracts are programs running logic in the Blockchain network by executing operations through immutable transactions. The Blockchain network validates such transactions, storing them into sequential blocks of which integrity is…

Software Engineering · Computer Science 2024-03-13 Francesco Salzano , Simone Scalabrino , Rocco Oliveto , Remo Pareschi

The term rational has become synonymous with maximizing expected payoff in the definition of the best response in Nash setting. In this work, we consider stochastic games in which players engage only once, or at most a limited number of…

Computer Science and Game Theory · Computer Science 2020-02-21 Ali Yekkehkhany , Timothy Murray , Rakesh Nagi

We formalize the current practice of strategic mining in multi-cryptocurrency markets as a game, and prove that any better-response learning in such games converges to equilibrium. We then offer a reward design scheme that moves the system…

Computer Science and Game Theory · Computer Science 2018-05-24 Alexander Spiegelman , Idit Keidar , Moshe Tennenholtz

By utilizing tools from game theory, we develop a novel multi-period-multi-company demand response framework considering the interactions between companies (sellers of energy) and their consumers (buyers of energy). We model the…

Optimization and Control · Mathematics 2020-04-20 Khaled Alshehri , Ji Liu , Xudong Chen , Tamer Başar

Game theory is widely used as a behavioral model for strategic interactions in biology and social science. It is common practice to assume that players quickly converge to an equilibrium, e.g. a Nash equilibrium. This can be studied in…

Physics and Society · Physics 2018-09-20 Marco Pangallo , Torsten Heinrich , J Doyne Farmer

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

Optimization and Control · Mathematics 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

Computer Science and Game Theory · Computer Science 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Blockchain systems need to solve consensus despite the presence of rational users and failures. The notion of $(k,t)$-robustness has shown instrumental to list problems that cannot be solved if $k$ players are rational and $t$ players are…

Computer Science and Game Theory · Computer Science 2021-11-03 Alejandro Ranchal-Pedrosa , Vincent Gramoli

Smart contracts are blockchain-based algorithms that execute when specific criteria are satisfied. They are often used to automate the implementation of an agreement so that all parties may be confident of the conclusion right away, without…

Cryptography and Security · Computer Science 2022-12-19 Harry Virani , Manthan Kyada

We study pure-strategy Nash equilibria in multi-player concurrent deterministic games, for a variety of preference relations. We provide a novel construction, called the suspect game, which transforms a multi-player concurrent game into a…

Logic in Computer Science · Computer Science 2017-01-11 Patricia Bouyer , Romain Brenguier , Nicolas Markey , Michael Ummels

This paper deals with the design of the secure blockchain network framework to prevent damages from an attacker. The decentralized network design called the Blockchain Governance Game is a new hybrid theoretical model and it provides the…

Cryptography and Security · Computer Science 2019-09-05 Song-Kyoo Kim

Secure equilibrium is a refinement of Nash equilibrium, which provides some security to the players against deviations when a player changes his strategy to another best response strategy. The concept of secure equilibrium is specifically…

Computer Science and Game Theory · Computer Science 2014-05-08 Julie De Pril , János Flesch , Jeroen Kuipers , Gijs Schoenmakers , Koos Vrieze

A growing line of work reframes preference-based fine-tuning of large language models game-theoretically: Nash Learning from Human Feedback (NLHF) recasts the problem as a zero-sum game over policies. However, optimization is over expected…

Computer Science and Game Theory · Computer Science 2026-05-14 Max Horwitz , Jake Gonzales , Eric Mazumdar , Lillian J. Ratliff

Open-access blockchains based on proof-of-work protocols have gained tremendous popularity for their capabilities of providing decentralized tamper-proof ledgers and platforms for data-driven autonomous organization. Nevertheless, the…

Cryptography and Security · Computer Science 2019-05-14 Shaohan Feng , Wenbo Wang , Zehui Xiong , Dusit Niyato , Ping Wang , Shaun Shuxun Wang

This chapter contributes to evolving the versatility and complexity of blockchain-enabled services through extending the functionality of blockchain-enforced smart contracts. The contributions include: (i) a method for automated management…

Cryptography and Security · Computer Science 2018-06-29 Craig Wright , Antoaneta Serguieva

Convertible instruments are contracts, used in venture financing, which give investors the right to receive shares in the venture in certain circumstances. In liquidity events, investors may have the option to either receive back their…

Theoretical Economics · Economics 2021-11-25 Ron van der Meyden

We investigate how a blockchain can distill the collective belief of its nodes regarding the trustworthiness of a (sub)set of nodes into a {\em reputation system} that reflects the probability of correctly performing a task. To address this…

Computer Science and Game Theory · Computer Science 2025-10-13 Petros Drineas , Rohit Nema , Rafail Ostrovsky , Vassilis Zikas

In this paper we analyze from the game theory point of view Byzantine Fault Tolerant blockchains when processes exhibit rational or Byzantine behavior. Our work is the first to model the Byzantine-consensus based blockchains as a committee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-22 Yackolley Amoussou-Guenou , Bruno Biais , Maria Potop-Butucaru , Sara Tucci-Piergiovanni