,MAE_payoffs,RMSE_payoffs,n_players
0,0.13276924192905426,0.15511925518512726,4
1,0.06519648432731628,0.0768618956208229,4
2,0.04894992336630821,0.05580728128552437,4
3,0.06329591572284698,0.07803139090538025,4
4,0.026940979063510895,0.029701024293899536,4
5,0.08387027680873871,0.09941989928483963,4
6,0.07891598343849182,0.10108132660388947,4
7,0.05249284207820892,0.06995128840208054,4
8,0.09577348828315735,0.11372175067663193,4
9,0.06287500262260437,0.06865081936120987,4
10,0.027648426592350006,0.028651777654886246,4
11,0.07726036012172699,0.09028815478086472,4
12,0.08624166995286942,0.09196322411298752,4
13,0.06587326526641846,0.08764414489269257,4
14,0.04502961039543152,0.053184736520051956,4
15,0.05619892477989197,0.05998668074607849,4
16,0.15619255602359772,0.15992827713489532,4
17,0.11166413128376007,0.13631856441497803,4
18,0.11298806965351105,0.13838791847229004,4
19,0.0908237025141716,0.11091794818639755,4
20,0.131122425198555,0.13345400989055634,4
21,0.043219778686761856,0.05664566159248352,4
22,0.11000778526067734,0.14539088308811188,4
23,0.06066887825727463,0.07253250479698181,4
24,0.04449351504445076,0.05192168802022934,4
25,0.09601400047540665,0.10702650994062424,4
26,0.019037071615457535,0.02363867126405239,4
27,0.02997424267232418,0.03614535927772522,4
28,0.07272674888372421,0.08975464850664139,4
29,0.05566254258155823,0.05596879497170448,4
30,0.11407330632209778,0.1422571837902069,4
31,0.03596163168549538,0.04320554807782173,4
32,0.042553868144750595,0.050963059067726135,4
33,0.08235500752925873,0.09946892410516739,4
34,0.035405050963163376,0.03808065131306648,4
35,0.08106258511543274,0.08859992772340775,4
36,0.1220385730266571,0.1253345012664795,4
37,0.045679427683353424,0.05304008349776268,4
38,0.0753721296787262,0.08914410322904587,4
39,0.06013767421245575,0.06333956122398376,4
40,0.022057197988033295,0.024210823699831963,4
41,0.0898122563958168,0.10298524796962738,4
42,0.0498381182551384,0.0587468221783638,4
43,0.06416451930999756,0.066306933760643,4
44,0.09333693981170654,0.10646986216306686,4
45,0.1474302113056183,0.17069143056869507,4
46,0.037646811455488205,0.04393917694687843,4
47,0.04210863262414932,0.05000999942421913,4
48,0.05059434100985527,0.052445799112319946,4
49,0.0361100435256958,0.03962309658527374,4
50,0.05462478846311569,0.06286169588565826,4
51,0.04790530353784561,0.05304255336523056,4
52,0.04248993471264839,0.04795536771416664,4
53,0.08373746275901794,0.09156415611505508,4
54,0.021636195480823517,0.023821456357836723,4
55,0.10429301112890244,0.13142332434654236,4
56,0.0374586395919323,0.045264992862939835,4
57,0.025225535035133362,0.029625987634062767,4
58,0.05172417312860489,0.05795110762119293,4
59,0.02548697218298912,0.031139852479100227,4
60,0.3213222026824951,0.3718440532684326,4
61,0.05864034593105316,0.06596772372722626,4
62,0.034460607916116714,0.04326436296105385,4
63,0.06431596726179123,0.07184046506881714,4
64,0.08433696627616882,0.10660412162542343,4
65,0.022612500935792923,0.027733774855732918,4
66,0.12276745587587357,0.12327911704778671,4
67,0.045588910579681396,0.061906684190034866,4
68,0.0873178169131279,0.09625463932752609,4
69,0.13585656881332397,0.1758023053407669,4
70,0.1692538857460022,0.16957631707191467,4
71,0.053135186433792114,0.055257804691791534,4
72,0.0699615404009819,0.09565717726945877,4
73,0.05746740475296974,0.06070932373404503,4
74,0.05389117822051048,0.0655420571565628,4
75,0.08719252049922943,0.10793699324131012,4
76,0.03341177850961685,0.03610987588763237,4
77,0.04141523689031601,0.04835164174437523,4
78,0.13667753338813782,0.14535082876682281,4
79,0.05106610059738159,0.0587894506752491,4
80,0.12424049526453018,0.1436884105205536,4
81,0.08936724811792374,0.09158045053482056,4
82,0.05296436697244644,0.05498258396983147,4
83,0.0684560090303421,0.07147577404975891,4
84,0.0613299123942852,0.07432391494512558,4
85,0.024401124566793442,0.0292461346834898,4
86,0.021443646401166916,0.02605503797531128,4
87,0.03639771044254303,0.04019177332520485,4
88,0.10280114412307739,0.12210740149021149,4
89,0.05196661874651909,0.052939191460609436,4
90,0.10603015124797821,0.10947494208812714,4
91,0.02867785282433033,0.03797223046422005,4
92,0.05243814364075661,0.06280713528394699,4
93,0.08132504671812057,0.09515488147735596,4
94,0.007901392877101898,0.009364399127662182,4
95,0.023034200072288513,0.030406026169657707,4
96,0.034233979880809784,0.04031485319137573,4
97,0.05670860782265663,0.07027111202478409,4
98,0.06825576722621918,0.09293778240680695,4
99,0.014978401362895966,0.020008569583296776,4
100,0.018792014569044113,0.02322588488459587,4
101,0.02883489988744259,0.03809216991066933,4
102,0.021751336753368378,0.026940401643514633,4
103,0.07682017236948013,0.08876995742321014,4
104,0.031704746186733246,0.03831079974770546,4
105,0.021810850128531456,0.02541693113744259,4
106,0.012395814061164856,0.015047954395413399,4
107,0.09249082207679749,0.0969625934958458,4
108,0.056772321462631226,0.06569981575012207,4
109,0.018215104937553406,0.02064010314643383,4
110,0.12315236032009125,0.14739294350147247,4
111,0.036348991096019745,0.043567925691604614,4
112,0.12348846346139908,0.1327107548713684,4
113,0.05023517459630966,0.05033896490931511,4
114,0.0929015725851059,0.11287045478820801,4
115,0.008821818977594376,0.010474752634763718,4
116,0.062225647270679474,0.06844202429056168,4
117,0.05864877998828888,0.06552845984697342,4
118,0.042967330664396286,0.04575565457344055,4
119,0.04909304529428482,0.05464998260140419,4
120,0.08530706912279129,0.08936601877212524,4
121,0.055167488753795624,0.06631142646074295,4
122,0.08580085635185242,0.09332326799631119,4
123,0.05622432008385658,0.06752226501703262,4
124,0.10296281427145004,0.12059300392866135,4
125,0.09608151763677597,0.12035394459962845,4
126,0.07908596098423004,0.09295351058244705,4
127,0.07659168541431427,0.09725968539714813,4
128,0.07654303312301636,0.0890839695930481,4
129,0.05367554351687431,0.058901987969875336,4
130,0.04194580763578415,0.04975178837776184,4
131,0.03528693690896034,0.03808637335896492,4
132,0.0484493225812912,0.06029452010989189,4
133,0.13556401431560516,0.1362258642911911,4
134,0.06633421033620834,0.0735168382525444,4
135,0.08452369272708893,0.09989774972200394,4
136,0.09796198457479477,0.0999457910656929,4
137,0.055373415350914,0.06812309473752975,4
138,0.02303270623087883,0.0269138403236866,4
139,0.053558871150016785,0.05567074567079544,4
140,0.013539563864469528,0.01663598045706749,4
141,0.04228373244404793,0.04651911184191704,4
142,0.055296268314123154,0.06472888588905334,4
143,0.08595550060272217,0.10520806908607483,4
144,0.14812934398651123,0.15064875781536102,4
145,0.029985517263412476,0.030162395909428596,4
146,0.05699533224105835,0.07260359823703766,4
147,0.11554417014122009,0.13414554297924042,4
148,0.056347593665122986,0.06592589616775513,4
149,0.04317738860845566,0.05210205540060997,4
150,0.10658860206604004,0.11282553523778915,4
151,0.0754101574420929,0.09275620430707932,4
152,0.03806795924901962,0.046359263360500336,4
153,0.031463101506233215,0.032497256994247437,4
154,0.02728724107146263,0.03211434185504913,4
155,0.045588500797748566,0.054809316992759705,4
156,0.06834285706281662,0.07462941855192184,4
157,0.03480180725455284,0.04670216515660286,4
158,0.05284735932946205,0.06129220500588417,4
159,0.06065446138381958,0.07364954799413681,4
160,0.05014212429523468,0.05814490094780922,4
161,0.0594659298658371,0.06953564286231995,4
162,0.03770645707845688,0.04820866882801056,4
163,0.07251574844121933,0.08662126213312149,4
164,0.20697110891342163,0.24245905876159668,4
165,0.12211689352989197,0.13393373787403107,4
166,0.07051944732666016,0.08668115735054016,4
167,0.07457323372364044,0.0873570442199707,4
168,0.1049090027809143,0.12702053785324097,4
169,0.04526118189096451,0.04564039781689644,4
170,0.052525490522384644,0.061697982251644135,4
171,0.04736164212226868,0.05392597243189812,4
172,0.06559385359287262,0.06648620218038559,4
173,0.06606683135032654,0.06726032495498657,4
174,0.06775101274251938,0.07978258281946182,4
175,0.10717417299747467,0.11035609245300293,4
176,0.0418381430208683,0.04251471534371376,4
177,0.04965749382972717,0.054449886083602905,4
178,0.02337924763560295,0.02917824126780033,4
179,0.024403095245361328,0.030545035377144814,4
180,0.08776266872882843,0.10554803162813187,4
181,0.062158748507499695,0.07427603751420975,4
182,0.05040677264332771,0.06294059008359909,4
183,0.08828923851251602,0.08906334638595581,4
184,0.1831229329109192,0.21211828291416168,4
185,0.16937756538391113,0.1965683400630951,4
186,0.087098129093647,0.10612376779317856,4
187,0.08957412838935852,0.09987284988164902,4
188,0.09699541330337524,0.11233586072921753,4
189,0.07765007019042969,0.09547898918390274,4
190,0.036948177963495255,0.038603417575359344,4
191,0.09912324696779251,0.11487149447202682,4
192,0.03055277094244957,0.04078982397913933,4
193,0.01996254175901413,0.023278245702385902,4
194,0.09223556518554688,0.11321303993463516,4
195,0.11171062290668488,0.11179331690073013,4
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199,0.025986414402723312,0.03244400769472122,4
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205,0.084501251578331,0.10196573287248611,4
206,0.06426337361335754,0.07721879333257675,4
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208,0.09604626148939133,0.11238287389278412,4
209,0.05286150798201561,0.05390465632081032,4
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213,0.040709301829338074,0.04916023835539818,4
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215,0.0854504406452179,0.10438524931669235,4
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218,0.09452137351036072,0.10752581059932709,4
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220,0.04343029111623764,0.05317966267466545,4
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228,0.06553805619478226,0.08296796679496765,4
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244,0.061441950500011444,0.062335629016160965,4
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