-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathmathematica.html
executable file
·757 lines (719 loc) · 37.2 KB
/
mathematica.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8" />
<meta http-equiv="X-UA-Compatible" content="IE=edge" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<meta name="description" content="Luis R. Izquierdo's code" />
<meta name="author" content="Luis R. Izquierdo" />
<title>Mathematica models</title>
<!-- Bootstrap Core CSS -->
<link href="vendor/bootstrap/css/bootstrap.min.css" rel="stylesheet" />
<!-- Custom Fonts -->
<link href="vendor/font-awesome/css/font-awesome.min.css" rel="stylesheet" type="text/css" />
<link href="https://fonts.googleapis.com/css?family=Montserrat:400,700" rel="stylesheet" type="text/css" />
<link href="https://fonts.googleapis.com/css?family=Kaushan+Script" rel="stylesheet" type="text/css" />
<link
href="https://fonts.googleapis.com/css?family=Droid+Serif:400,700,400italic,700italic"
rel="stylesheet"
type="text/css" />
<link
href="https://fonts.googleapis.com/css?family=Roboto+Slab:400,100,300,700"
rel="stylesheet"
type="text/css" />
<!-- Theme CSS -->
<link href="css/agency.css" rel="stylesheet" />
<!-- HTML5 Shim and Respond.js IE8 support of HTML5 elements and media queries -->
<!-- WARNING: Respond.js doesn't work if you view the page via file:// -->
<!--[if lt IE 9]>
<script src="https://oss.maxcdn.com/libs/html5shiv/3.7.0/html5shiv.js"></script>
<script src="https://oss.maxcdn.com/libs/respond.js/1.4.2/respond.min.js"></script>
<![endif]-->
</head>
<!-- header background: https://unsplash.com/?photo=lVDnLUACI18 -->
<body id="page-top" class="index">
<!-- Navigation -->
<nav class="navbar navbar-inverse navbar-custom navbar-fixed-top" style="background-color: #222222">
<div class="container">
<!-- Brand and toggle get grouped for better mobile display -->
<div class="navbar-header page-scroll">
<button
type="button"
class="navbar-toggle collapsed"
data-toggle="collapse"
data-target="#bs-example-navbar-collapse-1">
<span class="sr-only">Toggle navigation</span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
<span class="icon-bar"></span>
</button>
<a class="navbar-brand page-scroll" href="./index.html#portfolio" style="font-size: 21px"
>Luis R. Izquierdo</a
>
</div>
<!-- Collect the nav links, forms, and other content for toggling -->
<div class="collapse navbar-collapse" id="bs-example-navbar-collapse-1">
<ul class="nav navbar-nav navbar-right">
<li class="hidden">
<a href="#page-top"></a>
</li>
<li>
<a class="page-scroll" href="./netlogo.html">NETLOGO MODELS</a>
</li>
<li>
<a class="page-scroll" href="#page-top">MATHEMATICA MODELS</a>
</li>
</ul>
</div>
<!-- /.navbar-collapse -->
</div>
<!-- /.container-fluid -->
</nav>
<div class="container" style="padding: 80px 0px 0px 0px">
<div class="row">
<!-- Row with only one card in the middle-->
<div class="col-xs-0 col-sm-3"></div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="https://luis-r-izquierdo.github.io/EvoDyn-3s/">EvoDyn-3s</a>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://luis-r-izquierdo.github.io/EvoDyn-3s/"
><img src="img/portfolio/mathematica/evodyn-3s.png" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
EvoDyn-3s is a Mathematica computable document designed to analyze evolutionary dynamics in
3-strategy games. It generates phase portraits, computes rest points, and shows the eigenvalues at
the rest points. For further details, please read the paper
<a target="_blank" href="https://doi.org/10.1016/j.softx.2018.07.006"
>"EvoDyn-3s: A Mathematica Computable Document to Analyze Evolutionary Dynamics in 3-Strategy
Games"</a
>.
</div>
<div class="panel-footer">
Together with
<a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a> &
<a href="http://www.ssc.wisc.edu/~whs/">Bill Sandholm</a>
</div>
</div>
</div>
<div class="col-xs-0 col-sm-3"></div>
</div>
<div class="row">
<!--<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title"><a target="_blank" href="https://luis-r-izquierdo.github.io/EvoDyn-3s/">EvoDyn-3s</a> </h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://luis-r-izquierdo.github.io/EvoDyn-3s/"><img src="img/portfolio/mathematica/evodyn-3s.png" class="img-responsive img-centered" /></a>
</div>
<div class="panel-body">
EvoDyn-3s is a Mathematica computable document designed to analyze evolutionary dynamics in 3-strategy games. It generates phase portraits, computes rest points, and shows the eigenvalues at the rest points. For further details, please read the paper <a target="_blank" href="https://doi.org/10.1016/j.softx.2018.07.006">"EvoDyn-3s: A Mathematica Computable Document to Analyze Evolutionary Dynamics in 3-Strategy Games"</a>.
</div>
<div class="panel-footer">Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a> & <a href="http://www.ssc.wisc.edu/~whs/">Bill Sandholm</a></div>
</div>
</div>-->
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="https://doi.org/10.5281/zenodo.12763923"
>3-strategy Replicator Dynamics with Selective Assortment</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://doi.org/10.5281/zenodo.12763923"
><img
src="img/portfolio/mathematica/negative-assortment.jpg"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
This is a Mathematica notebook created to analyze the replicator dynamics in 3-strategy games under
positive and negative selective assortment. For further details, please read the paper
<a target="_blank" href="https://www.segis.izqui.org/files/SelectiveAssortment.pdf"
>"Positive and negative selective assortment in pairwise interactions"</a
>.
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a> and
<a target="_blank" href="https://personal.math.ubc.ca/~hauert/">Christoph Hauert</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="https://zenodo.org/doi/10.5281/zenodo.10975163"
>Pair approximation for regular networks</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://zenodo.org/doi/10.5281/zenodo.10975163"
><img
src="img/portfolio/mathematica/pair-approximation.png"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
This is a Mathematica notebook created to solve the pair approximation for 2x2 symmetric games on
regular networks. The pair approximation is a system of differential equations explained in detail
in
<a
target="_blank"
href="https://wisc.pb.unizin.org/agent-based-evolutionary-game-dynamics/chapter/iii-5/"
>chapter III-5</a
>
of the free online book
<a target="_blank" href="https://wisc.pb.unizin.org/agent-based-evolutionary-game-dynamics"
>Agent-based Evolutionary Game Dynamics</a
>.
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a> and
<a target="_blank" href="https://personal.math.ubc.ca/~hauert/">Christoph Hauert</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="https://github.com/luis-r-izquierdo/bep-tcg/">BEP-3s-sp</a>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://zenodo.org/doi/10.5281/zenodo.7156265"
><img src="img/portfolio/mathematica/BEP-3s-sp.png" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
BEP-3s-sp is a Mathematica notebook created to analyze Best Experienced Payoff (BEP) dynamics in 3
strategy games with several players. This software was used to create several figures in the paper
<a href="https://doi.org/10.1016/j.geb.2022.12.006">"Strategy sets closed under payoff sampling"</a
>.
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://luis.izqui.org/models/the_replicator-mutator_dynamics_with_3_strategies.cdf"
>Replicator-Mutator Dynamics</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://luis.izqui.org/models/the_replicator-mutator_dynamics_with_3_strategies.cdf"
><img
src="img/portfolio/mathematica/replicator-mutator.png"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Replicator-Mutator Dynamics with Three Strategies. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.3390/g2030355"
>"Strictly Dominated Strategies in the Replicator-Mutator Dynamics"</a
>. There is also a
<a
target="_blank"
href="http://demonstrations.wolfram.com/ReplicatorMutatorDynamicsWithThreeStrategies/"
>Mathematica demonstration.</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedMotionIn2x2SymmetricGamesPlayedByReinforcementLearne/"
>Reinforcement Learners</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedMotionIn2x2SymmetricGamesPlayedByReinforcementLearne/"
><img
src="img/portfolio/mathematica/reinforcement-learners.jpg"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Expected Motion in 2x2 Symmetric Games Played by Reinforcement Learners. For further details,
please read the paper
<a target="_blank" href="http://jasss.soc.surrey.ac.uk/11/2/1.html"
>"Reinforcement Learning Dynamics in Social Dilemmas"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="http://demonstrations.wolfram.com/InferenceWithFuzzyIFTHENRules/"
>Mamdani Fuzzy Systems</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="http://demonstrations.wolfram.com/InferenceWithFuzzyIFTHENRules/"
><img src="img/portfolio/mathematica/fuzzy.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Inference with Fuzzy IF-THEN Rules. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.18564/jasss.2885"
>"Fuzzy Logic for Social Simulation using Mathematica"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnImitationModelIn2x2SymmetricGames/"
>Expected Dynamics in 1-population 2x2 Symmetric Games</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnImitationModelIn2x2SymmetricGames/"
><img src="img/portfolio/mathematica/exp-dyn-1-pop.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Expected Dynamics of an Imitation Model in 2x2 Symmetric Games. For further details, please read
the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnIntraPopulationImitationModelForInterPop/"
>Expected Dynamics in 2-population 2x2 Symmetric Games</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnIntraPopulationImitationModelForInterPop/"
><img src="img/portfolio/mathematica/exp-dyn-2-pop.png" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Expected Dynamics of an Intra-Population Imitation Model for Inter-Population 2x2 Symmetric Games.
For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnImitationModelInTheHawkDoveGame/"
>Expected Dynamics in the 1-population Hawk-Dove Game</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnImitationModelInTheHawkDoveGame/"
><img
src="img/portfolio/mathematica/exp-dyn-1-pop-hawk-dove.jpg"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Expected Dynamics of an Imitation Model in the Hawk-Dove Game. For further details, please read the
paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnIntraPopulationImitationModelInTheTwoPop/"
>Expected Dynamics in the 2-population Hawk-Dove Game</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/ExpectedDynamicsOfAnIntraPopulationImitationModelInTheTwoPop/"
><img
src="img/portfolio/mathematica/exp-dyn-2-pop-hawk-dove.jpg"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Expected Dynamics of an Intra-Population Imitation Model in the Two-Population Hawk-Dove Game. For
further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/MixingAndInfectionInATwoGroupSISModel/"
>Mixing in a Two-Group SIS Model</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="http://demonstrations.wolfram.com/MixingAndInfectionInATwoGroupSISModel/"
><img src="img/portfolio/mathematica/mixing.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Mixing and Infection in a Two-Group SIS Model. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1098/rsos.172102"
>"Mixing and diffusion in a two-type population "</a
>
</div>
<div class="panel-footer">
Together with
<a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a> &
<a target="_blank" href="https://sites.google.com/site/dlopezpintado/"
>Dunia López Pintado</a
>
</div>
</div>
</div>
<!--<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title"><a target="_blank" href="http://demonstrations.wolfram.com/DifferenceEquationVersusDifferentialEquation/">Difference Equation vs Differential Equation</a> </h3>
</div>
<div class="panel-image">
<a target="_blank" href="http://demonstrations.wolfram.com/DifferenceEquationVersusDifferentialEquation/"><img src="img/portfolio/mathematica/diff-equation.jpg" class="img-responsive img-centered" /></a>
</div>
<div class="panel-body">
Difference Equation versus Differential Equation. For further details, please read the paper <a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z">"Stochastic Approximation to Understand Simple Simulation Models"</a>
</div>
<div class="panel-footer">Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a></div>
</div>
</div>-->
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="https://demonstrations.wolfram.com/DynamicsOfThreeStrategySymmetricGames/"
>Dynamics of Three-Strategy Symmetric Games</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://demonstrations.wolfram.com/DynamicsOfThreeStrategySymmetricGames/"
><img
src="img/portfolio/mathematica/dynamics-3-strategy-symmetric-games.jpg"
class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Dynamics of Three-Strategy Symmetric Games. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with
<a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a> &
<a href="http://www.ssc.wisc.edu/~whs/">Bill Sandholm</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/DifferenceEquationVersusDifferentialEquation/"
>Difference Equation vs Differential Equation</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/DifferenceEquationVersusDifferentialEquation/"
><img src="img/portfolio/mathematica/diff-equation.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Difference Equation versus Differential Equation. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="https://github.com/luis-r-izquierdo/bep-tcg/"
>Best Experienced Payoff dynamics in 3-strategy Tacit Coordination Games</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="https://github.com/luis-r-izquierdo/bep-tcg/"
><img src="img/portfolio/mathematica/bep-tcg.png" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
Best Experienced Payoff (BEP) dynamics in 3-strategy Tacit Coordination Games (TCG). For further
details, please read the paper
<a target="_blank" href="https://doi.org/10.1016/j.jet.2022.105553"
>"Stability of Strict Equilibria in Best Experienced Payoff Dynamics: Simple Formulas and
Applications"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/AnImitationModelFor2x2SymmetricGames/"
>An Imitation Model for 1-population 2x2 Symmetric Games</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="http://demonstrations.wolfram.com/AnImitationModelFor2x2SymmetricGames/"
><img src="img/portfolio/mathematica/1-pop.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
An Imitation Model for 2x2 Symmetric Games. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/AnIntraPopulationImitationModelForInterPopulation2x2Symmetri/"
>An Imitation Model for 2-population 2x2 Symmetric Games</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/AnIntraPopulationImitationModelForInterPopulation2x2Symmetri/"
><img src="img/portfolio/mathematica/2-pop.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
An Intra-Population Imitation Model for Inter-Population 2x2 Symmetric Games. For further details,
please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
<div class="row">
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a target="_blank" href="http://demonstrations.wolfram.com/AnImitationModelInTheHawkDoveGame/"
>An Imitation Model in the 1-population Hawk-Dove game</a
>
</h3>
</div>
<div class="panel-image">
<a target="_blank" href="http://demonstrations.wolfram.com/AnImitationModelInTheHawkDoveGame/"
><img src="img/portfolio/mathematica/1-pop-hawk-dove.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
An Imitation Model in the Hawk-Dove Game. For further details, please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
<div class="col-xs-12 col-sm-6">
<div class="panel panel-default">
<div class="panel-heading">
<h3 class="panel-title">
<a
target="_blank"
href="http://demonstrations.wolfram.com/AnIntraPopulationImitationModelForInterPopulation2x2Symmetri/"
>An Imitation Model in the 2-population Hawk-Dove game</a
>
</h3>
</div>
<div class="panel-image">
<a
target="_blank"
href="http://demonstrations.wolfram.com/AnIntraPopulationImitationModelForInterPopulation2x2Symmetri/"
><img src="img/portfolio/mathematica/2-pop-hawk-dove.jpg" class="img-responsive img-centered"
/></a>
</div>
<div class="panel-body">
An Intra-Population Imitation Model in the Two-Population Hawk-Dove Game. For further details,
please read the paper
<a target="_blank" href="http://dx.doi.org/10.1007/s10955-012-0654-z"
>"Stochastic Approximation to Understand Simple Simulation Models"</a
>
</div>
<div class="panel-footer">
Together with <a target="_blank" href="http://www.segis.izqui.org">Segismundo S. Izquierdo</a>
</div>
</div>
</div>
</div>
</div>
<!-- jQuery -->
<script src="vendor/jquery/jquery.min.js"></script>
<!-- Bootstrap Core JavaScript -->
<script src="vendor/bootstrap/js/bootstrap.min.js"></script>
<!-- Plugin JavaScript -->
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery-easing/1.3/jquery.easing.min.js"></script>
<!-- Contact Form JavaScript -->
<!--
<script src="js/jqBootstrapValidation.js"></script>
<script src="js/contact_me.js"></script>
-->
<!-- Theme JavaScript -->
<script src="js/agency.min.js"></script>
<script>
(function (i, s, o, g, r, a, m) {
i["GoogleAnalyticsObject"] = r;
(i[r] =
i[r] ||
function () {
(i[r].q = i[r].q || []).push(arguments);
}),
(i[r].l = 1 * new Date());
(a = s.createElement(o)), (m = s.getElementsByTagName(o)[0]);
a.async = 1;
a.src = g;
m.parentNode.insertBefore(a, m);
})(window, document, "script", "https://www.google-analytics.com/analytics.js", "ga");
ga("create", "UA-103654169-4", "auto");
ga("send", "pageview");
</script>
</body>
</html>