Search results for "Tug of war"
showing 7 items of 7 documents
Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities
2018
We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in $\Omega\subset \mathbb R^n$. The method of the proof is based on a game-theoretic idea to estimate the value of a related game defined in $\Omega\times \Omega$ via couplings.
Uniform measure density condition and game regularity for tug-of-war games
2018
We show that a uniform measure density condition implies game regularity for all 2 < p < ∞ in a stochastic game called “tug-of-war with noise”. The proof utilizes suitable choices of strategies combined with estimates for the associated stopping times and density estimates for the sum of independent and identically distributed random vectors. peerReviewed
A continuous time tug-of-war game for parabolic $p(x,t)$-Laplace type equations
2019
We formulate a stochastic differential game in continuous time that represents the unique viscosity solution to a terminal value problem for a parabolic partial differential equation involving the normalized $p(x,t)$-Laplace operator. Our game is formulated in a way that covers the full range $1<p(x,t)<\infty$. Furthermore, we prove the uniqueness of viscosity solutions to our equation in the whole space under suitable assumptions.
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
Violência, evasão e exclusão na educação superior
2019
The present text focuses on a relationship between higher education, institutional and symbolic violence and exclusion, practicing as a challenge based on reflections on the existence of evasion in Brazilian university. Ignoring the educational institution as a direct responsible for these things, this text considers that a logic in University organization and operation helps to enlarge inequalities that provide the mechanisms of evasion; at the same time, it presents itself as a space of reference and a struggle against social inequalities and violence. On a provisional basis, the text stands out that: depending on the execution of educational procedures and practices undertaken by the ins…
Cooperativismo e Turismo: a pobreza como eixo discursivo da agenda neoliberal
2020
A teoria do desenvolvimento sem dúvida abriu uma brecha entre os intelectuais, o que se baseia em seus efeitos. Parte da biblioteca ou literatura especializada chama atenção para a dependência de estados pobres em relação às agências internacionais de financiamento tais como o FMI ou o Banco Mundial, enquanto outros destacam os benefícios de desenvolvimento que, associado ao turismo, tirou certas economias emergentes da estagnação econômica. Este artigo explora teoricamente parte das limitações e vantagens da teoria do desenvolvimento aplicada ao turismo e a hospitalidade; e o faz através d…
Local regularity for time-dependent tug-of-war games with varying probabilities
2016
We study local regularity properties of value functions of time-dependent tug-of-war games. For games with constant probabilities we get local Lipschitz continuity. For more general games with probabilities depending on space and time we obtain H\"older and Harnack estimates. The games have a connection to the normalized $p(x,t)$-parabolic equation $(n+p(x,t))u_t=\Delta u+(p(x,t)-2) \Delta_{\infty}^N u$.