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Game (Israeli) options in a multi-asset market model with proportional transaction costs are studied in the case when the buyer is allowed to exercise the option and the seller has the right to cancel the option gradually at a mixed (or…

Pricing of Securities · Quantitative Finance 2016-12-08 Alet Roux , Tomasz Zastawniak

We study two-sided reputational bargaining with opportunities to issue an ultimatum -- threats to force dispute resolution. Each player is either a justified type, who never concedes and issues an ultimatum whenever an opportunity arrives,…

Theoretical Economics · Economics 2021-05-05 Mehmet Ekmekci , Hanzhe Zhang

We revisit the crucial issue of natural game equivalences, and semantics of game logics based on these. We present reasons for investigating finer concepts of game equivalence than equality of standard powers, though staying short of modal…

Computer Science and Game Theory · Computer Science 2017-07-28 Johan van Benthem , Nick Bezhanishvili , Sebastian Enqvist

We solve the two-player bargaining problem employing Weber's law in psychophysics, which is applied to the perception of utility changes. Using this law, the players define the jointly acceptable range of utilities on the Pareto line, which…

Theoretical Economics · Economics 2025-01-14 V. G. Bardakhchyan , A. E. Allahverdyan

The preference graph is a combinatorial representation of the structure of a normal-form game. Its nodes are the strategy profiles, with an arc between profiles if they differ in the strategy of a single player, where the orientation…

Computer Science and Game Theory · Computer Science 2025-02-07 Oliver Biggar , Iman Shames

Intention recognition is an important characteristic of intelligent agents. In their interactions with others, they try to read others' intentions and make an image of others to choose their actions accordingly. While the way in which…

Optimization and Control · Mathematics 2019-03-27 Yuma Fujimoto , Kunihiko Kaneko

A Richman game is a combinatorial game in which, rather than alternating moves, the two players bid for the privilege of making the next move. We consider both the case where the players pay each other and the case where the players pay a…

Combinatorics · Mathematics 2009-09-25 Andrew J. Lazarus , Daniel E. Loeb , James G. Propp , Daniel Ullman

We relate two contract models: one based on event structures and game theory, and the other one based on logic. In particular, we show that the notions of agreement and winning strategies in the game-theoretic model are related to that of…

Logic in Computer Science · Computer Science 2013-10-18 Massimo Bartoletti , Tiziana Cimoli , Paolo Di Giamberardino , Roberto Zunino

We study the performance of Fictitious Play, when used as a heuristic for finding an approximate Nash equilibrium of a 2-player game. We exhibit a class of 2-player games having payoffs in the range [0,1] that show that Fictitious Play…

Computer Science and Game Theory · Computer Science 2011-03-22 Paul W. Goldberg , Rahul Savani , Troels Bjerre Sorensen , Carmine Ventre

We address the problem of how cooperative (altruistic-like) behavior arises in natural and social systems by analyzing an ultimatum game in complex networks. Specifically, three types of players are considered: (a) empathetic, whose…

Physics and Society · Physics 2009-12-18 Roberta Sinatra , Jaime Iranzo , Jesús Gómez-Gardeñes , Luis M. Floría , Vito Latora , Yamir Moreno

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

Condensed Matter · Physics 2009-11-10 H. Fort

We present a mathematical framework for modeling two-player noncooperative games in which one player is uncertain of the other player's costs but can preemptively allocate information-gathering resources to reduce this uncertainty. We refer…

Computer Science and Game Theory · Computer Science 2024-10-28 Fernando Palafox , Jesse Milzman , Dong Ho Lee , Ryan Park , David Fridovich-Keil

We compare games under delayed control and delay games, two types of infinite games modelling asynchronicity in reactive synthesis. In games under delayed control both players suffer from partial informedness due to symmetrically delayed…

Computer Science and Game Theory · Computer Science 2025-03-19 Martin Fränzle , Paul Kröger , Sarah Winter , Martin Zimmermann

Two-player quantitative zero-sum games provide a natural framework to synthesize controllers with performance guarantees for reactive systems within an uncontrollable environment. Classical settings include mean-payoff games, where the…

Logic in Computer Science · Computer Science 2015-09-25 Patricia Bouyer , Nicolas Markey , Mickael Randour , Kim G. Larsen , Simon Laursen

With the recent advances in solving large, zero-sum extensive form games, there is a growing interest in the inverse problem of inferring underlying game parameters given only access to agent actions. Although a recent work provides a…

Machine Learning · Computer Science 2019-03-12 Chun Kai Ling , Fei Fang , J. Zico Kolter

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 investigate how well continuous-time fictitious play in two-player games performs in terms of average payoff, particularly compared to Nash equilibrium payoff. We show that in many games, fictitious play outperforms Nash equilibrium on…

Computer Science and Game Theory · Computer Science 2014-11-20 Georg Ostrovski , Sebastian van Strien

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

Delegation allows an agent to request that another agent completes a task. In many situations the task may be delegated onwards, and this process can repeat until it is eventually, successfully or unsuccessfully, performed. We consider…

Artificial Intelligence · Computer Science 2018-04-23 Juan Afanador , Nir Oren , Murilo S. Baptista

Sender-receiver interactions, and specifically persuasion games, are widely researched in economic modeling and artificial intelligence. However, in the classic persuasion games setting, the messages sent from the expert to the…

Artificial Intelligence · Computer Science 2022-04-01 Reut Apel , Ido Erev , Roi Reichart , Moshe Tennenholtz
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