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We investigate a two-player zero-sum differential game with asymmetric information on the payoff and without Isaacs condition. The dynamics is an ordinary differential equation parametrised by two controls chosen by the players. Each player…

最优化与控制 · 数学 2015-07-30 Rainer Buckdahn , Marc Quincampoix , Catherine Rainer , Yuhong Xu

We study Bayesian Persuasion with multiple senders who have access to conditionally independent experiments (and possibly others). Senders have zero-sum preferences over information revealed. We characterize when any set of states can be…

理论经济学 · 经济学 2022-06-14 Dilip Ravindran , Zhihan Cui

We analyse the computational complexity of finding Nash equilibria in stochastic multiplayer games with $\omega$-regular objectives. While the existence of an equilibrium whose payoff falls into a certain interval may be undecidable, we…

计算机科学与博弈论 · 计算机科学 2010-06-24 Michael Ummels , Dominik Wojtczak

We consider solutions of normal form games that are invariant under strategic equivalence. We consider additional properties that can be expected (or be desired) from a solution of a game, and we observe the following: - Even the weakest…

计算机科学与博弈论 · 计算机科学 2014-02-24 Yakov Babichenko

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…

计算机科学与博弈论 · 计算机科学 2015-07-29 Dietmar Berwanger , Anup Basil Mathew

We introduce a class of Bayesian bidding games for which we prove that the set of pure Nash equilibria is a (non-empty) sublattice and we give a sufficient condition for uniqueness that is often verified in the context of markets with…

计算机科学与博弈论 · 计算机科学 2023-10-06 Benjamin Heymann , Alejandro Jofré

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE) seeking problem in incomplete-information aggregative games, which is a generalization of Bayesian games and deterministic aggregative games. We handle the aggregation…

最优化与控制 · 数学 2023-09-19 Hanzheng Zhang , Guanpu Chen , Huashu Qin

We show that standard Bayesian games cannot represent the full spectrum of belief-dependent preferences. However, by introducing a fundamental distinction between intended and actual strategies, we remove this limitation. We define Bayesian…

计算机科学与博弈论 · 计算机科学 2016-06-27 Adam Bjorndahl , Joseph Y. Halpern , Rafael Pass

We study stochastic games with energy-parity objectives, which combine quantitative rewards with a qualitative $\omega$-regular condition: The maximizer aims to avoid running out of energy while simultaneously satisfying a parity condition.…

计算机科学与博弈论 · 计算机科学 2021-01-19 Richard Mayr , Sven Schewe , Patrick Totzke , Dominik Wojtczak

We consider discrete time partially observable zero-sum stochastic game with average payoff criterion. We study the game using an equivalent completely observable game. We show that the game has a value and also we come up with a pair of…

最优化与控制 · 数学 2014-09-16 Subhamay Saha

Meirowitz [17] showed existence of continuous behavioural function equilibria for Bayesian games with non-finite type and action spaces. A key condition for the proof of the existence result is equi-continuity of behavioural functions…

最优化与控制 · 数学 2017-10-16 Shaoyan Guo , Huifu Xu , Liwei Zhang

Pursuit-Evasion Games (in discrete time) are stochastic games with nonnegative daily payoffs, with the final payoff being the cumulative sum of payoffs during the game. We show that such games admit a value even in the presence of…

概率论 · 数学 2007-08-21 Ori Gurel-Gurevich

We present a novel coalgebraic formulation of infinite extensive games. We define both the game trees and the strategy profiles by possibly infinite systems of corecursive equations. Certain strategy profiles are proved to be subgame…

计算机科学与博弈论 · 计算机科学 2015-07-29 Samson Abramsky , Viktor Winschel

We obtain an exact necessary and sufficient condition for the existence and uniqueness of equilibrium asset prices in infinite horizon, discrete-time, arbitrage free environments. Through several applications we show how the condition…

综合金融 · 定量金融 2021-03-01 Jaroslav Borovicka , John Stachurski

We study a class of finite-action disclosure games in which the sender's preferences are state-independent and the receiver's optimal action depends only on the expected state. While receiver-preferred equilibria in these games involve full…

理论经济学 · 经济学 2026-05-06 Denis Shishkin , Maria Titova , Kun Zhang

In this work we propose and develop modified quantum games (zero and non-zero sum) in which payoffs and strategies are entangled. For the games studied, Nash and Pareto equilibriums are always obtained indicating that there are some…

Noncooperative game theory provides a normative framework for analyzing strategic interactions. However, for the toolbox to be operational, the solutions it defines will have to be computed. In this paper, we provide a single reduction that…

计算机科学与博弈论 · 计算机科学 2007-05-23 Vincent Conitzer , Tuomas Sandholm

This paper investigates equilibrium computation and the price of anarchy for Bayesian games, which are the fundamental models of games with incomplete information. In normal-form games with complete information, it is known that efficiently…

计算机科学与博弈论 · 计算机科学 2025-07-01 Kaito Fujii

This study investigates differential games with motion-payoff uncertainty in continuous-time settings. We propose a framework where players update their beliefs about uncertain parameters using continuous Bayesian updating. Theoretical…

多智能体系统 · 计算机科学 2025-09-16 Jiangjing Zhou , Ovanes Petrosian , Ye Zhang , Hongwei Gao

Game-theoretic techniques and equilibria analysis facilitate the design and verification of competitive systems. While algorithmic complexity of equilibria computation has been extensively studied, practical implementation and application…

计算机科学与博弈论 · 计算机科学 2022-02-02 Marta Kwiatkowska , Gethin Norman , David Parker , Gabriel Santos