Search Results - "Bernhard, Pierre"

There is no known nonlinear Markov perfect equilibrium strategies for the infinite horizon linear quadratic differential game by Bernhard, Pierre

“…We discuss published accounts of nonlinear equilibrium strategies in linear quadratic differential games. The main reference: Tsutsui-Mino 1990, is shown to be…”
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Optimal patch time allocation for time-limited foragers by Wajnberg, Eric, Bernhard, Pierre, Hamelin, Frédéric, Boivin, Guy

“…The Charnov Marginal Value Theorem (MVT) predicts the optimal foraging duration of animals exploiting patches of resources. The predictions of this model have…”
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Large satellite constellations and space debris: Exploratory analysis of strategic management of the space commons by Bernhard, Pierre, Deschamps, Marc, Zaccour, Georges

“…The use of space through satellites is more and more important for nations, companies, and individuals. However, since the first satellite was sent up in 1957,…”
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Cournot Oligopoly: A Discrete Time Sticky-Prices Paradox by Bernhard, Pierre, Deschamps, Marc

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Kalman 1960: The birth of modern system theory by Bernhard, Pierre, Deschamps, Marc

“…Rudolph E. Kalman is mainly known for the Kalman filter, first published in 1960. In this year, he published two equally important contributions, one about…”
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On Dynamic Games with Randomly Arriving Players by Bernhard, Pierre, Deschamps, Marc

“…We consider a dynamic game where additional players (assumed identical, even if there will be a mild departure from that hypothesis) join the game randomly…”
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Evolutionary Dynamics of the Handicap Principle: An Example by Bernhard, Pierre

“…For a model developed in a companion paper, we investigate how adaptive dynamics might have led to the Bayesian equilibrium found. In an appendix, we also…”
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Dynamic Equilibrium with Randomly Arriving Players by Bernhard, Pierre, Deschamps, Marc

“…There are real strategic situations where nobody knows ex ante how many players there will be in the game at each step. Assuming that entry and exit could be…”
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Optimal Control of Plant Disease Epidemics with Clean Seed Usage by Hamelin, F. M., Bowen, B., Bernhard, P., Bokil, V. A.

“…The distribution and use of pathogen-free planting material (“clean seeds”) is a promising method to control plant diseases in developing countries. We address…”
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Sharing a resource with randomly arriving foragers by Bernhard, Pierre, Hamelin, Frédéric

“…•We consider foragers arriving as a Poisson process on a resource patch.•We give effective formulas allowing one to compute the expected gain of each…”
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Chain differentials with an application to the mathematical fear operator by Bernhard, Pierre

“…We introduce a concept of derivative in a topological vector space that yields the chain rule of differentiation for composition of functions, akin to, but…”
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Proportional Transaction Costs in the Robust Control Approach to Option Pricing: The Uniqueness Theorem by El Farouq, Naïma, Bernhard, Pierre

“…We prove the missing uniqueness theorem for the viscosity solution of a quasi-variational inequality related to a minimax impulse control problem modeling the…”
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Simple signaling games of sexual selection (Grafen’s revisited) by Bernhard, Pierre, Hamelin, Frédéric M.

“…We investigate several versions of a simple game of sexual selection, to explore the role of secondary sexual characters (the “handicap paradox”) with the…”
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A Dynamic Game Approach to Uninvadable Strategies for Biotrophic Pathogens by Yegorov, Ivan, Grognard, Frédéric, Mailleret, Ludovic, Halkett, Fabien, Bernhard, Pierre

“…This paper studies a zero-sum state-feedback game for a system of nonlinear ordinary differential equations describing one-seasonal dynamics of two biotrophic…”
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Uncoupling Isaacs equations in two-player nonzero-sum differential games. Parental conflict over care as an example by Hamelin, Frédéric, Bernhard, Pierre

“…We consider a two-player nonzero-sum differential game in mixed strategies between two players who have, at each instant of time, two pure strategies to mix…”
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Continuum equilibria and global optimization for routing in dense static ad hoc networks by Silva, Alonso, Altman, Eitan, Bernhard, Pierre, Debbah, Mérouane

“…We consider massively dense ad hoc networks and study their continuum limits as the node density increases and as the graph providing the available routes…”
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Minimax-or feared value-L1/L∞ control: Max-plus algebras by BERNHARD, Pierre

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Continuum equilibria and global optimization for routing in dense static ad hoc networks: New Network Paradigms by SILVA, Alonso, ALTMAN, Eitan, BERNHARD, Pierre, DEBBAH, Mérouane

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Uncoupling Isaacs’equations in nonzero-sum two-player differential games : The example of conflict over parental care by Hamelin, Frédéric, Bernhard, Pierre

“…We use a recently uncovered decoupling of Isaacs PDE’s of some mixed closed loop Nash equilibria to give a rather complete analysis of the classical problem of…”
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Deterministic Minimax Impulse Control by El Farouq, Naïma, Barles, Guy, Bernhard, Pierre

“…We prove the uniqueness of the viscosity solution of an Isaacs quasi-variational inequality arising in an impulse control minimax problem, motivated by an…”
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