Properties of switching-dynamics race models

Franco Blanchini, Daniele Casagrande, Giulia Giordano, Umberto Viaro

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)

Abstract

The paper analyses some continuous-time dynamic models that describe the evolution of social systems characterized by the possibility of changing the alliances among the parties involved or damaging one's competitors. At any time each participant, either an individual or a coalition, can decide to form or terminate a bond, or to start or stop damaging an opponent (i.e., to switch from a network configuration to another), based on a greedy, or shortsighted, criterion that does not consider the long-term effects of the decision. The proposed models fall within the domain of positive switching systems. Although they can obviously simulate the behaviour of many real-life situations, in which contenders aim at prevailing over one another to achieve supremacy, the paper does not refer to a specific context and concentrates on the main structural properties of the mathematical models, such as positivity and boundedness of the solutions, existence of coalitions, steady-state behaviour. Simulations show how the different cooperative or hostile attitudes of the participants affect their yield.

Original languageEnglish
Title of host publication2015 European Control Conference, ECC 2015
PublisherIEEE
Pages2902-2907
Number of pages6
ISBN (Electronic)9783952426937
DOIs
Publication statusPublished - 16 Nov 2015
Externally publishedYes
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: 15 Jul 201517 Jul 2015

Conference

ConferenceEuropean Control Conference, ECC 2015
CountryAustria
CityLinz
Period15/07/1517/07/15

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