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We solve the equivariant generalized Nash problem for any non-rational normal variety with torus action of complexity one. Namely, we give an explicit combinatorial description of the Nash order on the set of equivariant divisorial…

Algebraic Geometry · Mathematics 2022-10-11 David Bourqui , Kevin Langlois , Hussein Mourtada

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2014-12-10 Joseph Y. Halpern , Rafael Pass

Auxiliary learning is an effective method for enhancing the generalization capabilities of trained models, particularly when dealing with small datasets. However, this approach may present several difficulties: (i) optimizing multiple…

Machine Learning · Computer Science 2023-06-06 Aviv Shamsian , Aviv Navon , Neta Glazer , Kenji Kawaguchi , Gal Chechik , Ethan Fetaya

We generalize the classic problem of fairly allocating indivisible goods to the problem of \emph{fair public decision making}, in which a decision must be made on several social issues simultaneously, and, unlike the classic setting, a…

Computer Science and Game Theory · Computer Science 2017-06-01 Vincent Conitzer , Rupert Freeman , Nisarg Shah

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

There has been limited success applying the Nash Bargaining Solution (NBS) in assigning intellectual property damages due to the difficulty of relating it to the specific facts of the case. Because of this, parties are not taking advantage…

General Finance · Quantitative Finance 2020-12-08 David M. Kryskowski , David Kryskowski

Nash equilibrium serves as a fundamental mathematical tool in economics and game theory. However, it classically assumes knowledge of player utilities, whereas economics generally regards preferences as more fundamental. To leverage…

Computer Science and Game Theory · Computer Science 2026-05-11 Ian Gemp , Crystal Qian , Marc Lanctot , Kate Larson

Under the assumption of complete rationality, Nash equilibrium is the only reasonable strategy (set) of the finitely repeated prisoner's dilemma. In fact, some strategies only slightly deviate from the so-called rationality, and the…

Computer Science and Game Theory · Computer Science 2014-01-09 Xuegong Deng

The solution to a Nash or a nonsymmetric bargaining game is obtained by maximizing a concave function over a convex set, i.e., it is the solution to a convex program. We show that each 2-player game whose convex program has linear…

Computer Science and Game Theory · Computer Science 2015-05-13 Vijay V. Vazirani

A number of citation indices have been proposed for measuring and ranking the research publication records of scholars. Some of the best known indices, such as those proposed by Hirsch and Woeginger, are designed to reward most highly those…

Combinatorics · Mathematics 2023-09-06 Josep Freixas , Roger Hoerl , William S. Zwicker

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…

Computer Science and Game Theory · Computer Science 2014-02-24 Yakov Babichenko

In this era of "Services" everywhere, with the explosive growth of E-Commerce and B2B transactions, there is a pressing need for the development of intelligent negotiation systems which consists of feasible architecture, a reliable…

Multiagent Systems · Computer Science 2012-07-11 Debajyoti Mukhopadhyay , Sheetal Vij , Suyog Tasare

Same/opposite relational responding, a fundamental aspect of human symbolic cognition, allows the flexible generalization of stimulus relationships based on minimal experience. In this study, we demonstrate the emergence of…

Artificial Intelligence · Computer Science 2025-06-18 Robert Johansson , Patrick Hammer , Tony Lofthouse

Standard decision frameworks address uncertainty about facts but assume fixed options and values. We extend the Jeffrey-Bolker framework to model refinements in values and prove a value-of-information theorem for axiological refinement. In…

Artificial Intelligence · Computer Science 2026-04-15 Alex John London , Aydin Mohseni

In this paper we study the existence and uniqueness of Nash equilibria (solution to competition-wise problems, with several controls trying to reach possibly different goals) associated to linear partial differential equations and show…

Optimization and Control · Mathematics 2019-09-02 Angel Manuel Ramos

Methods available for the axiomatization of arbitrary finite-valued logics can be applied to obtain sound and complete intelim rules for all truth-functional connectives of classical logic including the Sheffer stroke (NAND) and Peirce's…

Logic · Mathematics 2017-10-27 Richard Zach

The current framework of Internet interconnections, based on transit and settlement-free peering relations, has systemic problems that often cause peering disputes. We propose a new techno-economic interconnection framework called…

Computer Science and Game Theory · Computer Science 2016-10-06 Doron Zarchy , Amogh Dhamdhere , Constantine Dovrolis , Michael Schapira

Nash's solution in his celebrated article on the bargaining problem calling for maximization of product of marginal utilities is revisited; a different line of argument supporting such a solution is suggested by straightforward or more…

Statistics Theory · Mathematics 2011-02-02 Alex Ely Kossovsky

A solution concept that is a refinement of Nash equilibria selects for each finite game a nonempty collection of closed and connected subsets of Nash equilibria as solutions. We impose three axioms for such solution concepts. The axiom of…

Theoretical Economics · Economics 2025-04-24 Srihari Govindan , Robert B. Wilson

The Nash equilibrium problem is a widely used tool to model non-cooperative games. Many solution methods have been proposed in the literature to compute solutions of Nash equilibrium problems with continuous strategy sets, but, besides some…

Optimization and Control · Mathematics 2015-12-03 Simone Sagratella