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Job-scheduling games have traditionally assumed fixed processing times. However, in many realistic environments, ranging from cyber-security response to high-frequency trading, a task's duration depends on its starting time. We study…

Computer Science and Game Theory · Computer Science 2026-04-29 Ido Borenstein , Tami Tamir

In this paper, we investigate under which conditions normal-form games are (guaranteed to be) strategically equivalent. First, we show for N-player games (N >= 3) that (A) it is NP-hard to decide whether a given strategy is a best response…

Computer Science and Game Theory · Computer Science 2024-06-25 Emanuel Tewolde , Vincent Conitzer

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

The paper addresses a problem of sequential bilateral bargaining with incomplete information. We proposed a decision model that helps agents to successfully bargain by performing indirect negotiation and learning the opponent's model.…

Computer Science and Game Theory · Computer Science 2024-09-11 Tatiana V. Guy , Jitka Homolová , Aleksej Gaj

Spot electricity markets are considered under a Game-Theoretic framework, where risk averse players submit orders to the market clearing mechanism to maximise their own utility. Consistent with the current practice in Europe, the market…

Computer Science and Game Theory · Computer Science 2022-08-31 Ioan Alexandru Puiu , Raphael Andreas Hauser

In this work we develop a tractable structural model with analytical default probabilities depending on a random default barrier and possibly random volatility ideally associated with a scenario based underlying firm debt. We show how to…

Pricing of Securities · Quantitative Finance 2009-12-17 Damiano Brigo , Marco Tarenghi

Diffusion in a linear potential in the presence of position-dependent killing is used to mimic a default process. Different assumptions regarding transport coefficients, initial conditions, and elasticity of the killing measure lead to…

Computational Finance · Quantitative Finance 2015-05-30 Yuri A. Katz

This article presents a new model for valuing a credit default swap (CDS) contract that is affected by multiple credit risks of the buyer, seller and reference entity. We show that default dependency has a significant impact on asset…

Computational Finance · Quantitative Finance 2018-03-22 Alan White

In socio-technical multi-agent systems, deception exploits privileged information to induce false beliefs in "victims," keeping them oblivious and leading to outcomes detrimental to them or advantageous to the deceiver. We consider…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Michael Tang , Umar Javed , Xudong Chen , Miroslav Krstic , Jorge I. Poveda

This paper makes progress towards learning Nash equilibria in two-player zero-sum Markov games from offline data. Specifically, consider a $\gamma$-discounted infinite-horizon Markov game with $S$ states, where the max-player has $A$…

Machine Learning · Computer Science 2025-03-18 Yuling Yan , Gen Li , Yuxin Chen , Jianqing Fan

A three-dimensional extension of the structural default model with firms' values driven by correlated diffusion processes is presented. Green's function based semi-analytical methods for solving the forward calibration problem and backward…

Pricing of Securities · Quantitative Finance 2012-07-26 Alexander Lipton , Ioana Savescu

We propose a simple model of inter-bank borrowing and lending where the evolution of the log-monetary reserves of $N$ banks is described by a system of diffusion processes coupled through their drifts in such a way that stability of the…

Pricing of Securities · Quantitative Finance 2013-08-12 Rene Carmona , Jean-Pierre Fouque , Li-Hsien Sun

This paper considers risk-averse learning in convex games involving multiple agents that aim to minimize their individual risk of incurring significantly high costs. Specifically, the agents adopt the conditional value at risk (CVaR) as a…

Optimization and Control · Mathematics 2024-03-18 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We studied the behavior and variation of utility between the two conflicting players in a closed Nash-equilibrium loop. Our modeling approach also captured the nexus between optimal premium strategizing and firm performance using the…

Theoretical Economics · Economics 2023-11-21 Leonard Mushunje , David Edmund Allen

This paper studies relative arbitrage opportunities in a market with competitive investors through stochastic differential games in the limit as the number of players tends to infinity. With common noises introduced by the stock…

Mathematical Finance · Quantitative Finance 2025-11-24 Nicole Tianjiao Yang , Tomoyuki Ichiba

We find approximate solutions of partial integro-differential equations, which arise in financial models when defaultable assets are described by general scalar L\'evy-type stochastic processes. We derive rigorous error bounds for the…

Computational Finance · Quantitative Finance 2014-12-01 Matthew Lorig , Stefano Pagliarani , Andrea Pascucci

In this work, we provide a structural characterization of the possible Nash equilibria in the well-studied class of security games with additive utility. Our analysis yields a classification of possible equilibria into seven types and we…

Computer Science and Game Theory · Computer Science 2022-08-05 Joe Clanin , Sourabh Bhattacharya

We consider a nonzero-sum Markov game on an abstract measurable state space with compact metric action spaces. The goal of each player is to maximize his respective discounted payoff function under the condition that some constraints on a…

Optimization and Control · Mathematics 2021-09-28 François Dufour , Tomás Prieto-Rumeau

Learning from repeated play in a fixed two-player zero-sum game is a classic problem in game theory and online learning. We consider a variant of this problem where the game payoff matrix changes over time, possibly in an adversarial…

Machine Learning · Computer Science 2022-02-01 Mengxiao Zhang , Peng Zhao , Haipeng Luo , Zhi-Hua Zhou

Through a stochastic control theoretic approach, we analyze reputation games where a strategic long-lived player acts in a sequential repeated game against a collection of short-lived players. The key assumption in our model is that the…

Optimization and Control · Mathematics 2020-01-22 Nuh Aygün Dalkıran , Serdar Yüksel
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