,MAE_payoffs,RMSE_payoffs,n_players
0,0.16110029816627502,0.1860569268465042,4
1,0.087209053337574,0.10101078450679779,4
2,0.05895775184035301,0.06346988677978516,4
3,0.08403647691011429,0.09042277187108994,4
4,0.048430781811475754,0.048674218356609344,4
5,0.08819223940372467,0.1029500961303711,4
6,0.10365776717662811,0.131578266620636,4
7,0.0602087527513504,0.07033605873584747,4
8,0.07348592579364777,0.08161333203315735,4
9,0.0319548174738884,0.04103083536028862,4
10,0.027231365442276,0.03037828579545021,4
11,0.055318426340818405,0.06530612707138062,4
12,0.08729556947946548,0.09930489212274551,4
13,0.06420201063156128,0.07505384832620621,4
14,0.06575214117765427,0.08156980574131012,4
15,0.0410124845802784,0.04959755018353462,4
16,0.17934302985668182,0.18386834859848022,4
17,0.10261083394289017,0.11836277693510056,4
18,0.11243513971567154,0.12239672243595123,4
19,0.08748506754636765,0.11053446680307388,4
20,0.10736527293920517,0.1309671252965927,4
21,0.030036255717277527,0.034861911088228226,4
22,0.10323012620210648,0.1393139511346817,4
23,0.09916432201862335,0.11452686041593552,4
24,0.0585666224360466,0.07317716628313065,4
25,0.07186801731586456,0.0842825323343277,4
26,0.03054780513048172,0.03329537808895111,4
27,0.054721467196941376,0.06647606939077377,4
28,0.0773644745349884,0.09081502258777618,4
29,0.07974732667207718,0.08346543461084366,4
30,0.11772522330284119,0.12792116403579712,4
31,0.05550450459122658,0.0728500559926033,4
32,0.033364638686180115,0.03908183425664902,4
33,0.09900655597448349,0.1171228364109993,4
34,0.03955331817269325,0.0457567423582077,4
35,0.12319733202457428,0.1266912966966629,4
36,0.09578955173492432,0.11514943093061447,4
37,0.05160541832447052,0.05397794768214226,4
38,0.07140827178955078,0.07388287037611008,4
39,0.07769449055194855,0.08064299821853638,4
40,0.015682939440011978,0.019579434767365456,4
41,0.055106356739997864,0.0665973350405693,4
42,0.06948647648096085,0.08483938872814178,4
43,0.06102164089679718,0.06903901696205139,4
44,0.09353601187467575,0.11300758272409439,4
45,0.14320650696754456,0.16557219624519348,4
46,0.05659080296754837,0.060060761868953705,4
47,0.042842455208301544,0.04507405683398247,4
48,0.054886672645807266,0.05538710951805115,4
49,0.07154945284128189,0.08427010476589203,4
50,0.07444266974925995,0.08921443670988083,4
51,0.05030590295791626,0.06375569105148315,4
52,0.019130658358335495,0.02359640598297119,4
53,0.08511529117822647,0.08564698696136475,4
54,0.007671769708395004,0.00917713064700365,4
55,0.05860055238008499,0.06806115806102753,4
56,0.016090359538793564,0.019063115119934082,4
57,0.027476560324430466,0.029372086748480797,4
58,0.02238185703754425,0.029110116884112358,4
59,0.050797056406736374,0.051815323531627655,4
60,0.2785060405731201,0.3224013149738312,4
61,0.060924939811229706,0.07329785823822021,4
62,0.02180086448788643,0.022293761372566223,4
63,0.04713725671172142,0.05549877882003784,4
64,0.1055813580751419,0.12545062601566315,4
65,0.019099637866020203,0.024339845404028893,4
66,0.10386531054973602,0.10464159399271011,4
67,0.07093633711338043,0.08537641167640686,4
68,0.07069811224937439,0.07315085083246231,4
69,0.07124883681535721,0.08968329429626465,4
70,0.18977972865104675,0.19078806042671204,4
71,0.09295331686735153,0.10719235241413116,4
72,0.07175008207559586,0.09067284315824509,4
73,0.026155665516853333,0.027460841462016106,4
74,0.035511016845703125,0.044045500457286835,4
75,0.0815148875117302,0.10520116239786148,4
76,0.04589568451046944,0.046720411628484726,4
77,0.049728456884622574,0.057680606842041016,4
78,0.06513459235429764,0.07276513427495956,4
79,0.06019270420074463,0.06911060959100723,4
80,0.15481528639793396,0.178966224193573,4
81,0.07345345616340637,0.07417069375514984,4
82,0.0518985316157341,0.05389731749892235,4
83,0.042805515229701996,0.05228554084897041,4
84,0.03570561856031418,0.04137824475765228,4
85,0.013639688491821289,0.015394353307783604,4
86,0.010323625057935715,0.011890617199242115,4
87,0.015203673392534256,0.01838568225502968,4
88,0.0927177369594574,0.11935383081436157,4
89,0.01997174695134163,0.02068418823182583,4
90,0.08525754511356354,0.10264337062835693,4
91,0.05078162997961044,0.05870843306183815,4
92,0.0260477252304554,0.03038557432591915,4
93,0.0774783343076706,0.09485609084367752,4
94,0.038697246462106705,0.03884642571210861,4
95,0.03343840688467026,0.03857602924108505,4
96,0.05003827065229416,0.051503222435712814,4
97,0.029332704842090607,0.03596615046262741,4
98,0.07213158160448074,0.09681364893913269,4
99,0.04215841367840767,0.048909515142440796,4
100,0.03677897900342941,0.038110312074422836,4
101,0.04878849536180496,0.06011234223842621,4
102,0.012657634913921356,0.016010235995054245,4
103,0.06961420178413391,0.07606389373540878,4
104,0.022362686693668365,0.028848551213741302,4
105,0.020159192383289337,0.02176426537334919,4
106,0.02068154141306877,0.02193409390747547,4
107,0.05151005834341049,0.06316696107387543,4
108,0.05739977955818176,0.07461407780647278,4
109,0.01506059244275093,0.01802118308842182,4
110,0.14576956629753113,0.1541157364845276,4
111,0.04163328930735588,0.0466868057847023,4
112,0.09800231456756592,0.10135076195001602,4
113,0.032652564346790314,0.03943532332777977,4
114,0.09864867478609085,0.11766359955072403,4
115,0.033504124730825424,0.03400932252407074,4
116,0.0239437036216259,0.0284322090446949,4
117,0.03171287104487419,0.03202063962817192,4
118,0.045029036700725555,0.04796082153916359,4
119,0.024269655346870422,0.031113166362047195,4
120,0.06515921652317047,0.08111550658941269,4
121,0.0676979124546051,0.0869341567158699,4
122,0.052983470261096954,0.06329704076051712,4
123,0.04945976659655571,0.06071582809090614,4
124,0.09750279039144516,0.1005360409617424,4
125,0.10075070708990097,0.11887514591217041,4
126,0.04663776233792305,0.05530717223882675,4
127,0.08503872156143188,0.1081225723028183,4
128,0.09656734019517899,0.11155807226896286,4
129,0.036085642874240875,0.04090360552072525,4
130,0.03740336000919342,0.04843009263277054,4
131,0.043139711022377014,0.051483169198036194,4
132,0.052912164479494095,0.06474573165178299,4
133,0.18674461543560028,0.18683812022209167,4
134,0.017193015664815903,0.021105794236063957,4
135,0.059730224311351776,0.07135496288537979,4
136,0.0839642882347107,0.08708550035953522,4
137,0.050793200731277466,0.05649522319436073,4
138,0.011843658983707428,0.011917396448552608,4
139,0.028404735028743744,0.03290979191660881,4
140,0.01891089230775833,0.025117212906479836,4
141,0.031777676194906235,0.034270938485860825,4
142,0.07264316082000732,0.08176739513874054,4
143,0.0901782214641571,0.10690120607614517,4
144,0.18367521464824677,0.1845438927412033,4
145,0.04041355848312378,0.04043883830308914,4
146,0.08098360896110535,0.0961582139134407,4
147,0.0596340149641037,0.0702308639883995,4
148,0.08463291823863983,0.10002940893173218,4
149,0.06577974557876587,0.0788223147392273,4
150,0.09092795848846436,0.11103703081607819,4
151,0.09152364730834961,0.10746272653341293,4
152,0.05133875086903572,0.056833457201719284,4
153,0.04586320370435715,0.05825302377343178,4
154,0.037715569138526917,0.04178472235798836,4
155,0.030233517289161682,0.03515094891190529,4
156,0.07800891995429993,0.08613010495901108,4
157,0.040136806666851044,0.046600569039583206,4
158,0.03188629075884819,0.037615735083818436,4
159,0.08179887384176254,0.09488391876220703,4
160,0.07467788457870483,0.07652057707309723,4
161,0.08001485466957092,0.09285517781972885,4
162,0.027624256908893585,0.03580351173877716,4
163,0.053148336708545685,0.06261587142944336,4
164,0.25734323263168335,0.2992098927497864,4
165,0.1252722293138504,0.1503046602010727,4
166,0.09008796513080597,0.10603761672973633,4
167,0.05417948588728905,0.06295517086982727,4
168,0.10923727601766586,0.14318519830703735,4
169,0.013320546597242355,0.01510610617697239,4
170,0.0727066695690155,0.0743355005979538,4
171,0.07737413048744202,0.08961720764636993,4
172,0.04351230338215828,0.05235198512673378,4
173,0.060689814388751984,0.06371151655912399,4
174,0.04843582212924957,0.059582747519016266,4
175,0.14902085065841675,0.1494731605052948,4
176,0.018193505704402924,0.022128906100988388,4
177,0.052353788167238235,0.06440698355436325,4
178,0.03391766920685768,0.035010047256946564,4
179,0.011391554027795792,0.013613888993859291,4
180,0.07188796997070312,0.09385311603546143,4
181,0.07945697009563446,0.08260928839445114,4
182,0.06101052463054657,0.08165816962718964,4
183,0.060122448951005936,0.06182576343417168,4
184,0.271149218082428,0.3133491575717926,4
185,0.2642524838447571,0.3063720464706421,4
186,0.09562218934297562,0.11643846333026886,4
187,0.09359001368284225,0.11453306674957275,4
188,0.07641787827014923,0.08396605402231216,4
189,0.08816865086555481,0.10917792469263077,4
190,0.023060325533151627,0.028315469622612,4
191,0.08328971266746521,0.0948450118303299,4
192,0.06597690284252167,0.08026033639907837,4
193,0.016753394156694412,0.021081387996673584,4
194,0.10474015772342682,0.13624314963817596,4
195,0.09763424098491669,0.09786628931760788,4
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205,0.06516133248806,0.06611112505197525,4
206,0.08531133085489273,0.09986274689435959,4
207,0.039717961102724075,0.048821937292814255,4
208,0.10169868916273117,0.12310506403446198,4
209,0.052230291068553925,0.055649902671575546,4
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213,0.05480054020881653,0.05532551556825638,4
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218,0.10064487904310226,0.12261369824409485,4
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220,0.05065418779850006,0.057019468396902084,4
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228,0.03943620249629021,0.045876968652009964,4
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243,0.025264859199523926,0.029569722712039948,4
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