Search results for "Zero-sum game"
showing 8 items of 8 documents
Solutions of nonlinear PDEs in the sense of averages
2012
Abstract We characterize p-harmonic functions including p = 1 and p = ∞ by using mean value properties extending classical results of Privaloff from the linear case p = 2 to all pʼs. We describe a class of random tug-of-war games whose value functions approach p-harmonic functions as the step goes to zero for the full range 1 p ∞ .
Goalkeeper: A Zero-Sum Exergame for Motivating Physical Activity
2021
Incentives and peer competition have so far been employed independently for increasing physical activity. In this paper, we introduce Goalkeeper, a mobile application that utilizes deposit contracts for motivating physical activity in group settings. Goalkeeper enables one to set up a physical exercise challenge with a group of peers that deposit a fixed amount of money for participating. If a peer fails to complete the challenge, Goalkeeper redistributes their deposit to those who managed to complete it (i.e., zero-sum game). We evaluated the potential of Goalkeeper in increasing physical activity with a total of 50 participants over the course of 2 months. Our findings suggest that deposi…
The Algorithm of a Game-Based System in the Relation between an Operator and a Technical Object in Management of E-Commerce Logistics Processes with …
2021
Machine learning (ML) is applied in various logistic processes utilizing innovative techniques (e.g., the use of drones for automated delivery in e-commerce). Early challenges showed the insufficient drones’ steering capacity and cognitive gap related to the lack of theoretical foundation for controlling algorithms. The aim of this paper is to present a game-based algorithm of controlling behaviours in the relation between an operator (OP) and a technical object (TO), based on the assumption that the game is logistics-oriented and the algorithm is to support ML applied in e-commerce optimization management. Algebraic methods, including matrices, Lagrange functions, systems of differential e…
A Neo2 bayesian foundation of the maxmin value for two-person zero-sum games
1994
A joint derivation of utility and value for two-person zero-sum games is obtained using a decision theoretic approach. Acts map states to consequences. The latter are lotteries over prizes, and the set of states is a product of two finite sets (m rows andn columns). Preferences over acts are complete, transitive, continuous, monotonie and certainty-independent (Gilboa and Schmeidler (1989)), and satisfy a new axiom which we introduce. These axioms are shown to characterize preferences such that (i) the induced preferences on consequences are represented by a von Neumann-Morgenstern utility function, and (ii) each act is ranked according to the maxmin value of the correspondingm × n utility …
Consensus in Noncooperative Dynamic Games: a Multi-Retailer Inventory Application
2008
We focus on Nash equilibria and Pareto optimal Nash equilibria for a finite horizon noncooperative dynamic game with a special structure of the stage cost. We study the existence of these solutions by proving that the game is a potential game. For the single-stage version of the game, we characterize the aforementioned solutions and derive a consensus protocol that makes the players converge to the unique Pareto optimal Nash equilibrium. Such an equilibrium guarantees the interests of the players and is also social optimal in the set of Nash equilibria. For the multistage version of the game, we present an algorithm that converges to Nash equilibria, unfortunately, not necessarily Pareto op…
Przekonania o sobie i świecie nieletnich przebywających w placówkach resocjalizacyjnych
2019
Celem przeprowadzonych badań było rozpoznanie adaptacyjnych i dezadaptacyjnych przekonań ułatwiających lub utrudniających funkcjonowanie młodzieży w życiu społecznym. Badania przeprowadzono wśród 146 wychowanków placówek resocjalizacyjnych i 134 uczniów szkół gimnazjalnych oraz ponadgimnazjalnych (grupa porównawcza). W artykule zaprezentowano część wyników badań uzyskanych za pomocą Skali orientacji pozytywnej (w polskiej adaptacji Marioli Łaguny, Piotra Olesia i Doroty Filipiuk) i Skali wiary w grę o sumie zerowej (autorstwa Joanny Różyckiej i Bogdana Wojciszke). Orientacja pozytywna to wymiar osobowości decydujący o skłonności jednostki do odbierania i przetwarzania informacji o sobie i ś…
Gradient and Lipschitz Estimates for Tug-of-War Type Games
2021
We define a random step size tug-of-war game and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are uniformly bounded and converge weakly to the gradient of the corresponding $p$-harmonic function. Moreover, we establish an improved Lipschitz estimate when boundary values are close to a plane. Such estimates are known to play a key role in the higher regularity theory of partial differential equations. The proofs are based on cancellation and coupling methods as well as an improved version of the cylinder walk argument. peerReviewed
Związek indukowanych emocji z ruminacjami i orientacją pozytywną
2018
The article, based on the theory of Barbara Fredrickson (1998), shows the connection of positive emotions (satisfaction,joy) and negative emotions (sadness, disgust) with positive orientation, the belief that life is a zero-sum game and emerging ruminations. Emotions were induced by means of multimedia induction, one for each of the emotions. Dependent variables were measured using the “Positive Orientation” questionnaires by Łaguna, Oleś i Filipiuk (2011), “Scale of Belief in a Zero-sum Game” by Różycka and Wojciszke (2010) and “Ruminations Questionnaire” Baryły and Wojciszke (2005). 120 students took part in the study (59 men and 61 women at the age of M=22.4). The results show that the s…