5 research outputs found

    Dynamical phase diagrams of a love capacity constrained prey–predator model

    No full text
    One interesting question in love relationships is: finally, what and when is the end of this love relationship? Using a prey–predator Verhulst–Lotka–Volterra (VLV) model we imply cooperation and competition tendency between people in order to describe a “love dilemma game”. We select the most simple but immediately most complex case for studying the set of nonlinear differential equations, i.e. that implying three persons, being at the same time prey and predator. We describe four different scenarios in such a love game containing either a one-way love or a love triangle. Our results show that it is hard to love more than one person simultaneously. Moreover, to love several people simultaneously is an unstable state. We find some condition in which persons tend to have a friendly relationship and love someone in spite of their antagonistic interaction. We demonstrate the dynamics by displaying flow diagrams.Fil: Simin, P. Toranj. Shahid Beheshti University; IránFil: Jafari, Gholam Reza. Shahid Beheshti University; Irán. Közép-európai Egyetem; HungríaFil: Ausloos, Marcel. University of Leicester; Reino Unido. Group Of Researchers For Applications Of Physics In Economy And Sociology; BélgicaFil: Caiafa, César Federico. Indiana University; Estados Unidos. Provincia de Buenos Aires. Gobernación. Comisión de Investigaciones Científicas. Instituto Argentino de Radioastronomía. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto Argentino de Radioastronomía; ArgentinaFil: Caram, Leonidas Facundo. Universidad de Buenos Aires. Facultad de Ingeniería; ArgentinaFil: Sonubi, Adeyemi. Università degli Studi di Milano; ItaliaFil: Arcagni, Alberto. Università degli Studi di Milano; ItaliaFil: Stefani, Silvana. Università degli Studi di Milano; Itali

    Effects of competition and cooperation interaction between agents on networks in the presence of a market capacity

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    A network effect is introduced taking into account competition, cooperation, and mixed-type interaction among agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity undoubtedly enforces a definite limit on the agent's size growth. The state stability of triadic agents, i.e., the most basic network plaquette, is investigated analytically for possible scenarios, through a fixed-point analysis. It is discovered that: (i) market demand is only satisfied for full competition when one agent monopolizes the market; (ii) growth of agent size is encouraged in full cooperation; (iii) collaboration among agents to compete against one single agent may result in the disappearance of this single agent out of the market; and (iv) cooperating with two rivals may become a growth strategy for an intelligent agent

    Managing adverse temperature conditions through hybrid financial instruments

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    Recent international policy initiatives focus on reducing carbon emissions to limit warming. It is almost universally recognized that risks connected to climatic changes are unpredictable in their consequences. Moreover, attempts (for instance the 2016 Paris conference) to manage climatic changes at a global level have been counterbalanced by a not clear-cut US policy. Surprisingly, the financial world does not seem to care much about this problem. Yet, it is estimated that 80% of world industries (i.e. agriculture, construction sector and hospitality activities) are affected (totally or in part) by climate. Rain or low temperatures disrupt tourism; heavy rain or high temperatures devastate crops and damage farmers. This work contributes to existing literature by proposing a temperature-based risk management using hybrid financial instruments based on weather derivatives. Based on well-established literature we firstly model temperature time series; we then price one-month forward option contracts for hedging adverse outcomes. Our results exploit daily temperature data-set (1951-2016) collected in Arezzo, Italy. We then show how a "negative" weather performance can be counterbalanced by the "positive" performance of the hedging Over-The-Counter financial instrument that can be tailored to meet specific needs.Recent international policy initiatives focus on reducing carbon emissions to limit warming. It is almost universally recognized that risks connected to climatic changes are unpredictable in their consequences. Moreover, attempts (for instance, the 2016 Paris conference) to manage climatic changes at a global level have been counterbalanced by ambiguous US policy. Surprisingly, the financial world does not seem to care much about this problem. Yet, it is estimated that 80% of world industries (ie, agriculture, construction sector and hospitality activities) are affected (totally or in part) by climate. Rain or low temperatures disrupt tourism; heavy rain or high temperatures devastate crops and damage farmers. This work contributes to existing literature by proposing temperature-based risk management using hybrid financial instruments built on weather derivatives. Based on well-established literature, we first model temperature time series; we then price one-month forward option contracts for hedging adverse outcomes. Our results exploit the daily temperature data set (19512016) collected in Arezzo, Italy. We then show how a "negative" weather performance can be counterbalanced by the "positive" performance of a hedging over-the-counter financial instrument, which can be tailored to meet specific needs

    Competing or collaborating, with no symmetrical behaviour: leadership opportunities and winning strategies under stability

    No full text
    In this paper, a new dynamic mathematical model describing leadership emergence or disappearance in agent based networks is proposed. Through a generalised Verhulst–Lotka–Volterra model, a triad of agents operates in a market where each agent detains a quota. The triad is composed of a leader, who leads communication, and two followers. Communications flows both ways from leader to followers and vice versa. Competition, collaboration and cheating are allowed. Stability solutions are investigated analytically through a fixed point analysis. Various solutions exist depending on the type of behavioural interactions. Results show that communication counts: survival of the leader is a condition for stability. All configurations with the leader out of the market are unstable. Conversely, the two followers position is highly difficult. The three agents cannot all survive unless they behave under mutual collaboration and in very special conditions. For followers, cheating the leader, especially if the leader is collaborating, can be a disaster. By the way, collaboration with the leader may not always ensure market survival. However, this can be a strategy to survive and even share the leadership, in particular when the other agent cheats (or is cheated by) the leader. Cheating is a cause of instability. In fact, only a few cases reach stability: this occurs when cheating comes from the leader and the leader always wins. The leader may be interested in cheating if she does not want to share the leadership with a follower, that is to get the monopoly of the market

    Dynamical phase diagrams of a love capacity constrained prey–predator model

    No full text
    One interesting question in love relationships is: finally, what and when is the end of this love relationship? Using a prey–predator Verhulst–Lotka–Volterra (VLV) model we imply cooperation and competition tendency between people in order to describe a “love dilemma game”. We select the most simple but immediately most complex case for studying the set of nonlinear differential equations, i.e. that implying three persons, being at the same time prey and predator. We describe four different scenarios in such a love game containing either a one-way love or a love triangle. Our results show that it is hard to love more than one person simultaneously. Moreover, to love several people simultaneously is an unstable state. We find some condition in which persons tend to have a friendly relationship and love someone in spite of their antagonistic interaction. We demonstrate the dynamics by displaying flow diagrams
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