We present the marmoteCore software project, an open environment for modeling with Markov chains. This platform aims at providing the general scientific user with tools for creating Markov models and accessing the many solution algorithms available for their analysis. We describe its object-oriented architecture, some of its presently available...
-
December 5, 2017 (v1)Conference paperUploaded on: February 28, 2023
-
2023 (v1)Journal article
The nature of fishing activities is such that marine habitats can be deteriorated when employing destructive fishing gear. This makes even more complex the determination of sustainable fishing policies and has led some authors to propose dynamic models which take into account this habitat degradation. In this work, we analyze in detail one of...
Uploaded on: June 24, 2023 -
December 2020 (v1)Journal article
We consider a single server queue in continuous time, in which customers must be served before some limit sojourn time of exponential distribution. Customers who are not served before this limit leave the system: they are impatient. The fact of serving customers and the fact of losing them due to impatience induce costs. The fact of holding...
Uploaded on: February 22, 2023 -
August 10, 2018 (v1)Report
We consider a single server queue in continuous time, in which customers must beserved before some limit sojourn time of exponential distribution. A customer who is not servedbefore this limit leaves the system: it is impatient. The fact of serving customers and the fact oflosing them due to impatience induce costs. The fact of holding them in...
Uploaded on: December 4, 2022 -
May 26, 2021 (v1)Publication
Growth and disease transmission rates within human populations are continuously changing and will be of increasing importance over thecoming decades. The modelling of social network construction in pair- bonding species is, therefore, necessary for understanding how connectionbetween individuals influence these critical dyanmics. The...
Uploaded on: December 3, 2022 -
September 25, 2017 (v1)Conference paper
In this paper, we introduce a new accumulation process, the Semi-Markov Accumulation Process (SMAP). This class of processes extends the framework of continuous-time Markov Additive Processes (MAPs) by allowing the underlying environmental component to be a semi-Markov process instead of a Markov process. Next, we follow an analytic approach to...
Uploaded on: February 28, 2023 -
December 2020 (v1)Journal article
Modeling the amount of solar energy received by a photovoltaic panel is an essential part of Green IT research. The specific motivation of this work is the management of the energy consumption of large datacenters. We propose a new stochastic model for the solar irradiance, featuring minute-scale variations and therefore suitable for short-term...
Uploaded on: December 4, 2022 -
June 10, 2024 (v1)Publication
The tutorial provides an introduction to the capabilities of software environment Marmotevia its Python interface: pyMarmote/pyMarmoteMDP.Marmote is a programming library for modeling with Markov chains, analyzing and "solving" these chains. It provides the objects for building continuous-time and discrete-timeMarkov chains on discrete but...
Uploaded on: October 23, 2024 -
March 22, 2024 (v1)Journal article
In this paper, we consider a singular control optimization problem which generalizes the Gordon–Schaefer model. A population of individuals with endogenous growth is harvested by two independent agents, and their joint profit is maximized. We show that adding a second control to the standard model greatly complicates the standard solution,...
Uploaded on: October 3, 2024 -
June 25, 2023 (v1)Conference paper
In this paper, 2 × 2 zero-sum games are studied under the following assumptions: (1) One of the players (the leader) commits to choose its actions by sampling a given probability measure (strategy); (2) The leader announces its action, which is observed by its opponent (the follower) through a binary channel; and (3) the follower chooses its...
Uploaded on: May 13, 2023 -
May 30, 2023 (v1)Report
In this report, 2 × 2 zero-sum games are studied under the following assumptions: (1) One of the players (the leader) commits to choose its actions by sampling a given probability measure (strategy); (2) The leader announces its action, which is observed by its opponent (the follower) through a binary channel; and (3) the follower chooses its...
Uploaded on: May 17, 2023 -
April 22, 2022 (v1)Publication
Consumption satisfaction depends on other factors apart from the inherent characteristic of commodities. Among them, positional concerns are central in behavioural economics. Individuals enjoy returns from the ranking occupied by the consumed item. In public good, agents obtain satisfaction from their relative contribution. We analyse how...
Uploaded on: February 22, 2023 -
2022 (v1)Journal article
We consider a discrete time, infinite horizon dynamic game of groundwater extraction.A Water Agency charges an extraction cost to water users, and controls the marginal extraction cost so that it depends, not only on the level of groundwater, but also ontotal water extraction (through a parameter n that represents the degree of strategic...
Uploaded on: December 4, 2022 -
July 25, 2022 (v1)Conference paper
Consumption satisfaction depends on other factors apart from the inherent characteristic ofcommodities. Among them, positional concerns are central in behavioral economics. Individualsenjoy returns from the ranking occupied by the consumed item. In public good, agents obtainsatisfaction from their relative contribution. We analyze how...
Uploaded on: February 22, 2023 -
October 1, 2021 (v1)Journal article
We propose and analyze a model for optimizing the prefetching of documents, in the situation where the connection between documents is discovered progressively. A random surfer moves along the edges of a random tree representing possible sequences of documents, which is known to a controller only up to depth d. A quantity k of documents can be...
Uploaded on: December 4, 2022 -
June 30, 2023 (v1)Publication
Social context gives rise, in some individuals, to a desire to conform with other people. Conversely, other people desire to be exclusive or different from the "common herd". We study the interaction between two different agents: the positional player, characterized by the snob effect, and the conformist player, characterized by the bandwagon...
Uploaded on: July 2, 2023 -
July 25, 2022 (v1)Conference paper
Consumption satisfaction depends on other factors apart from the inherent characteristic ofcommodities. Leibenstein (1950) studies how the consumer's demand reacts to other factorsdifferent from the inherent characteristic of a specific commodity. In particular, he highlights thedesire of some consumers to be "in style", and the attempt by...
Uploaded on: February 22, 2023 -
July 3, 2019 (v1)Conference paper
International audience
Uploaded on: December 4, 2022 -
April 30, 2021 (v1)Report
We introduce the family of Conjectural Learning procedures, in which agents form conjectures about what the opponent will play, as a function of their action or some state variable. We prove general properties of these procedures, comparing them to two dynamic systems generated by nearsighted agents solving repeatedly a static game, either...
Uploaded on: December 4, 2022 -
February 23, 2022 (v1)Conference paper
Optimisation du préchargement dans un monde dynamique
Uploaded on: December 3, 2022