EvoLudoLab: Spatial 2x2 Game - Bistability - Revision history

Hauert at 21:51, 12 August 2024

2024-08-12T21:51:16Z

← Older revision		Revision as of 14:51, 12 August 2024
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	{{EvoLudoLab:2x2\|		{{EvoLudoLab:2x2\|
	options="--module 2x2 --run --delay 200 --view 0 --timestep 2 --popsize 100x --popupdate async --playerupdate imitate-better --geometry m --interactions all --references r1 --~~inittype~~ frequencies 55,45 --paymatrix 1,-0.54;0.9,0"\|		options="--module 2x2 --run --delay 200 --view 0 --timestep 2 --popsize 100x --popupdate async --playerupdate imitate-better --geometry m --interactions all --references r1 --init frequencies 55,45 --paymatrix 1,-0.54;0.9,0"\|
	title=Bistability\|		title=Bistability\|
	doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, provided that a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory. Otherwise they quickly disappear within the first few generations.		doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, provided that a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory. Otherwise they quickly disappear within the first few generations.

Hauert at 21:24, 4 August 2024

2024-08-04T21:24:55Z

← Older revision		Revision as of 14:24, 4 August 2024
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	{{EvoLudoLab:2x2\|		{{EvoLudoLab:2x2\|
	options="--~~game~~ 2x2 --run --delay 200 --view 0 --~~reportfreq 1.0~~ --popsize 100x --popupdate async --playerupdate imitate --geometry m --~~intertype a --numinter 1~~ --references ~~a --init 45,55~~ --inittype frequencies --~~mutation 0.0 --basefit~~ 1~~.0 -~~-~~selection 1.~~0 ~~--reward 1~~.~~0 --punishment 0.0 --temptation~~ 0.9 ~~--sucker -~~0.6"\|		options="--module 2x2 --run --delay 200 --view 0 --timestep 2 --popsize 100x --popupdate async --playerupdate imitate-better --geometry m --interactions all --references r1 --inittype frequencies 55,45 --paymatrix 1,-0.54;0.9,0"\|
	title=Bistability\|		title=Bistability\|
	doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, provided that a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory. Otherwise they quickly disappear within the first few generations.		doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, provided that a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory. Otherwise they quickly disappear within the first few generations.

Hauert at 23:05, 13 October 2023

2023-10-13T23:05:43Z

← Older revision		Revision as of 16:05, 13 October 2023
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	{{EvoLudoLab:2x2\|		{{EvoLudoLab:2x2\|
	options="--run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate r --playerupdate ~~i --updateprob 1.0 --switchpref 0.0~~ --geometry m --intertype a1 --numinter 1 --~~reprotype a8~~ --~~initfreqs~~ 45:55 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 0.9 --sucker -0.6"\|		options="--game 2x2 --run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate async --playerupdate imitate --geometry m --intertype a --numinter 1 --references a --init 45,55 --inittype frequencies --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 0.9 --sucker -0.6"\|
	title=Bistability\|		title=Bistability\|
	doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory~~, or,~~ they quickly disappear within the first few generations.		doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, provided that a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory. Otherwise they quickly disappear within the first few generations.

	The bi-stability of this system is nicely illustrated when running the above setting several times. Sometimes the system converges to all cooperators and sometimes all defectors. The parameters are set to \(R = 1, P = 0, T = 0.9\) and \(S = -0.54\) with Moore neighborhood and players imitating better strategies proportional to the payoff difference and an initial fraction of 50% \(A\)'s.}}		The bi-stability of this system is nicely illustrated when running the above setting several times. Sometimes the system converges to all cooperators and sometimes all defectors. The parameters are set to \(R = 1, P = 0, T = 0.9\) and \(S = -0.54\) with Moore neighborhood and players imitating better strategies proportional to the payoff difference and an initial fraction of 50% \(A\)'s.}}

	[[Category: Christoph Hauert]]		[[Category: Christoph Hauert]]

Hauert at 16:26, 12 June 2012

2012-06-12T16:26:48Z

← Older revision		Revision as of 09:26, 12 June 2012
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	{{~~VirtualLab~~:2x2\|		{{EvoLudoLab:2x2\|
	options="--run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry m --intertype a1 --numinter 1 --reprotype a8 --initfreqs 45:55 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 0.9 --sucker -0.6"\|		options="--run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry m --intertype a1 --numinter 1 --reprotype a8 --initfreqs 45:55 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 0.9 --sucker -0.6"\|
	title=Bistability\|		title=Bistability\|
	doc=In well-mixed populations either type ~~<math>~~A~~</math>~~ or type ~~<math>~~B~~</math>~~ players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of ~~<math>~~A~~</math>~~ types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, a sufficiently big initial cluster of ~~<math>~~A~~</math>~~'s exists, ensures their survival and seeds their victory, or, they quickly disappear within the first few generations.		doc=In well-mixed populations either type \(A\) or type \(B\) players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of \(A\) types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, a sufficiently big initial cluster of \(A\)'s exists, ensures their survival and seeds their victory, or, they quickly disappear within the first few generations.

	The bi-stability of this system is nicely illustrated when running the above setting several times. Sometimes the system converges to all cooperators and sometimes all defectors. The parameters are set to ~~<math>~~R = 1, P = 0, T = 0.9~~</math>~~ and ~~<math>~~S = -0.54~~</math>~~ with Moore neighborhood and players imitating better strategies proportional to the payoff difference and an initial fraction of 50% ~~<math>~~A~~</math>~~'s.}}		The bi-stability of this system is nicely illustrated when running the above setting several times. Sometimes the system converges to all cooperators and sometimes all defectors. The parameters are set to \(R = 1, P = 0, T = 0.9\) and \(S = -0.54\) with Moore neighborhood and players imitating better strategies proportional to the payoff difference and an initial fraction of 50% \(A\)'s.}}

	[[Category: Christoph Hauert]]		[[Category: Christoph Hauert]]

Hauert: moved VirtualLab: Spatial 2x2 Game - Bistability to EvoLudoLab: Spatial 2x2 Game - Bistability

2010-01-26T09:45:20Z

moved VirtualLab: Spatial 2x2 Game - Bistability to EvoLudoLab: Spatial 2x2 Game - Bistability

← Older revision	Revision as of 02:45, 26 January 2010
(No difference)

Wikiadmin: New page: {{VirtualLab:2x2| options="--run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry m --intertype a1 --numinte...

2009-02-03T20:24:31Z

New page: {{VirtualLab:2x2| options="--run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry m --intertype a1 --numinte...

New page

{{VirtualLab:2x2|
options="--run --delay 200 --view 0 --reportfreq 1.0 --popsize 100x --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry m --intertype a1 --numinter 1 --reprotype a8 --initfreqs 45:55 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 0.9 --sucker -0.6"|
title=Bistability|
doc=In well-mixed populations either type <math>A</math> or type <math>B</math> players thrive and take over the entire population. In spatial populations the same holds but the odds are hugely in favor of <math>A</math> types because they no longer need to exceed the threshold frequency on a global scale but rather only locally. Therefore, a sufficiently big initial cluster of <math>A</math>'s exists, ensures their survival and seeds their victory, or, they quickly disappear within the first few generations.

The bi-stability of this system is nicely illustrated when running the above setting several times. Sometimes the system converges to all cooperators and sometimes all defectors. The parameters are set to <math>R = 1, P = 0, T = 0.9</math> and <math>S = -0.54</math> with Moore neighborhood and players imitating better strategies proportional to the payoff difference and an initial fraction of 50% <math>A</math>'s.}}

[[Category: Christoph Hauert]]