Stochastic tragedy of the commons – A Markov model of resource conservation and depletion

2018 ◽  
Vol 21 (1) ◽  
pp. 61-79
Author(s):  
Ethan J. Alvarée ◽  
Hyejin Kim
1997 ◽  
Vol 30 (2) ◽  
pp. 285-306 ◽  
Author(s):  
John R. Ferguson

AbstractA review of contributions to the resource conservation literature shows that sustainability problems are seen as caused by “common property.” This “tragedy of the commons” is understood as the result of the failure to assign fully property rights to individuals. The supporting assumptions and premises to these “privatarian” arguments are explicated and examined. After refuting the main premises, it is argued that the application of neoclassical assumptions and premises overlooks other legitimate forms of ownership as effective solutions to the tragedy of the commons. In revisiting other categories of ownership, the limits of privatarianism are identified and the prospects for solutions to sustainability problems are expanded.


2014 ◽  
Author(s):  
David J. Hardisty ◽  
Howard Kunreuther ◽  
David H. Krantz ◽  
Poonam Arora

2021 ◽  
Author(s):  
Jaime G. Lopez ◽  
Mohamed S. Donia ◽  
Ned S. Wingreen

AbstractPlasmids are autonomous genetic elements that can be exchanged between microorganisms via horizontal gene transfer (HGT). Despite the central role they play in antibiotic resistance and modern biotechnology, our understanding of plasmids’ natural ecology is limited. Recent experiments have shown that plasmids can spread even when they are a burden to the cell, suggesting that natural plasmids may exist as parasites. Here, we use mathematical modeling to explore the ecology of such parasitic plasmids. We first develop models of single plasmids and find that a plasmid’s population dynamics and optimal infection strategy are strongly determined by the plasmid’s HGT mechanism. We then analyze models of co-infecting plasmids and show that parasitic plasmids are prone to a “tragedy of the commons” in which runaway plasmid invasion severely reduces host fitness. We propose that this tragedy of the commons is averted by selection between competing populations and demonstrate this effect in a metapopulation model. We derive predicted distributions of unique plasmid types in genomes—comparison to the distribution of plasmids in a collection of 17,725 genomes supports a model of parasitic plasmids with positive plasmid–plasmid interactions that ameliorate plasmid fitness costs or promote the invasion of new plasmids.


Ecology ◽  
2015 ◽  
Vol 96 (1) ◽  
pp. 54-61 ◽  
Author(s):  
Oded Berger-Tal ◽  
Keren Embar ◽  
Burt P. Kotler ◽  
David Saltz

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