diff --git a/abc_sim.ipynb b/abc_sim.ipynb index d12455e..a38a945 100644 --- a/abc_sim.ipynb +++ b/abc_sim.ipynb @@ -63,7 +63,7 @@ "n= 100\n", "\n", "#gain factors\n", - "g = sts.expon.rvs(loc=.1, scale=1, size=n)\n", + "g = np.random.normal(1, .05, size=n)\n", "phat0 = g*F0/S0\n", "\n", "#holdings fiat\n", @@ -74,7 +74,7 @@ "s0 = s_dist/sum(s_dist)*S0\n", "\n", "#lambda for revenue process\n", - "lam = 20\n", + "lam = 200\n", "\n", "#phi for exiting funds\n", "phi = .05" @@ -121,74 +121,74 @@ "text/plain": [ "{'action': {},\n", " 'funds': 35000.0,\n", - " 'holdings': array([31.58200339, 29.0449534 , 13.38309347, 39.86546713, 14.46790442,\n", - " 11.2871474 , 24.12455596, 12.06277393, 12.62677834, 12.72431123,\n", - " 12.0581096 , 23.56626593, 18.71295693, 17.15550518, 12.09218682,\n", - " 18.71051653, 42.47594894, 14.9008994 , 19.74554576, 13.16518859,\n", - " 23.55333755, 28.66635179, 10.63352331, 64.25158855, 21.33348353,\n", - " 13.71217834, 23.71843029, 15.76629049, 35.7052015 , 11.02843696,\n", - " 10.317351 , 21.17203975, 25.84668755, 20.01629419, 17.60016477,\n", - " 10.31846458, 21.49851613, 13.60206495, 38.73222353, 14.71441894,\n", - " 22.65470923, 10.23002233, 12.62138797, 14.37124452, 11.73630219,\n", - " 15.02644971, 10.92532854, 46.4010839 , 27.32493113, 32.29756272,\n", - " 11.81808269, 27.33989042, 13.99222474, 11.74013444, 12.77155953,\n", - " 16.01732288, 34.45910585, 10.73274779, 10.58319649, 21.62325174,\n", - " 22.06088202, 46.44276033, 29.903635 , 12.4121705 , 25.91732883,\n", - " 10.16000427, 11.77920764, 11.94735412, 38.51189421, 31.86998079,\n", - " 10.64190129, 30.05592175, 23.62857443, 16.57122234, 18.54347254,\n", - " 15.00950717, 27.37536279, 30.80260508, 13.42683293, 10.45062174,\n", - " 15.50091856, 12.46509344, 51.80670911, 15.6468271 , 38.60054239,\n", - " 13.09513746, 15.87655028, 42.49206989, 18.38555965, 10.39305713,\n", - " 22.79628517, 29.17734091, 11.10175388, 15.36119359, 37.99383596,\n", - " 22.70064061, 17.18026394, 12.42264013, 13.8902754 , 45.50172664]),\n", - " 'prices': array([0.15059378, 0.08107743, 0.01402543, 0.01048169, 0.02766831,\n", - " 0.02999851, 0.02490189, 0.05478936, 0.03093358, 0.03278822,\n", - " 0.10903366, 0.09215265, 0.02583883, 0.07208382, 0.0561782 ,\n", - " 0.01303988, 0.00518078, 0.00985617, 0.01276663, 0.02807175,\n", - " 0.03455491, 0.04795666, 0.01374762, 0.0398707 , 0.01716832,\n", - " 0.04888493, 0.046086 , 0.02436093, 0.01589939, 0.05515488,\n", - " 0.0278789 , 0.04212962, 0.04304507, 0.00637168, 0.19100402,\n", - " 0.03461325, 0.0221437 , 0.13092546, 0.01195011, 0.01403811,\n", - " 0.06533656, 0.01102863, 0.01620356, 0.02667744, 0.02234697,\n", - " 0.07584373, 0.03481409, 0.0225988 , 0.01352033, 0.0218228 ,\n", - " 0.06797646, 0.01795691, 0.07415803, 0.0279671 , 0.03053828,\n", - " 0.01217995, 0.00939741, 0.06557077, 0.03194412, 0.0342237 ,\n", - " 0.00578721, 0.03014732, 0.00808006, 0.02970001, 0.04228996,\n", - " 0.007174 , 0.08516905, 0.04816447, 0.02550767, 0.07252689,\n", - " 0.0037419 , 0.02337823, 0.00922323, 0.02280749, 0.01044978,\n", - " 0.02961406, 0.01504145, 0.04223732, 0.07249289, 0.0148142 ,\n", - " 0.00665742, 0.03278855, 0.09271294, 0.07950636, 0.02524091,\n", - " 0.0187724 , 0.01036979, 0.01392327, 0.01831863, 0.0342545 ,\n", - " 0.01612215, 0.0151121 , 0.00639963, 0.04583544, 0.05557914,\n", - " 0.00582766, 0.04165019, 0.08253628, 0.04806662, 0.01563301]),\n", + " 'holdings': array([28.60812685, 13.88618985, 69.57560107, 14.83313704, 12.73194491,\n", + " 27.20265489, 19.0694143 , 27.92508473, 11.49639287, 11.73312058,\n", + " 18.77500994, 20.73148503, 14.71784798, 17.08877176, 33.9361534 ,\n", + " 32.23426253, 12.49404918, 22.87601587, 36.98648553, 10.10171316,\n", + " 33.37482248, 12.69034498, 24.25148466, 26.49382242, 29.96849032,\n", + " 29.67158883, 29.1595145 , 24.01642016, 22.31733466, 13.54551914,\n", + " 13.16646503, 11.3092674 , 10.68541605, 40.19633778, 17.91274556,\n", + " 17.33960984, 19.61423364, 16.19353986, 66.46839459, 16.63359868,\n", + " 12.65072962, 29.64653694, 25.86365107, 22.72824189, 43.07091657,\n", + " 15.21595999, 11.09924412, 36.27496232, 22.28326309, 20.04019149,\n", + " 16.01140149, 10.97596983, 11.61062303, 20.8672772 , 16.83358678,\n", + " 32.46036624, 15.21629786, 11.61124253, 23.98264886, 19.62206032,\n", + " 20.58104973, 20.23397595, 10.05221924, 12.48776319, 53.83415081,\n", + " 23.11793434, 27.58219029, 31.28916386, 33.10924411, 26.95555111,\n", + " 14.30589013, 13.6776405 , 12.25653026, 11.35190423, 17.9603622 ,\n", + " 13.15127616, 14.35247812, 12.30975699, 16.79472544, 17.79341143,\n", + " 15.66927266, 21.47597582, 24.66160191, 22.35675286, 21.06636409,\n", + " 29.96280549, 10.52822448, 24.14556268, 25.5515056 , 45.21089318,\n", + " 14.81792691, 26.00112621, 12.18530046, 24.34955506, 12.69515301,\n", + " 13.90828789, 31.51298438, 14.94763048, 19.92651648, 10.39659808]),\n", + " 'prices': array([0.03676566, 0.0355416 , 0.03468162, 0.03389148, 0.03346917,\n", + " 0.03337605, 0.03524468, 0.03522371, 0.03543427, 0.0339668 ,\n", + " 0.03717883, 0.0352656 , 0.0351885 , 0.03265054, 0.03592326,\n", + " 0.03447488, 0.03116337, 0.03512813, 0.03543531, 0.03635068,\n", + " 0.03756142, 0.03647692, 0.03724079, 0.03830345, 0.03440881,\n", + " 0.03505752, 0.03419742, 0.03404208, 0.03519838, 0.03363311,\n", + " 0.03273577, 0.03763002, 0.03501407, 0.03484176, 0.03377498,\n", + " 0.03375439, 0.03451163, 0.0346194 , 0.03346118, 0.03373944,\n", + " 0.03460658, 0.03404845, 0.03526965, 0.03681327, 0.03856376,\n", + " 0.03380048, 0.03378792, 0.03470899, 0.03059317, 0.03515293,\n", + " 0.03553518, 0.03499418, 0.03806425, 0.03472937, 0.03204098,\n", + " 0.03470168, 0.03637016, 0.03635604, 0.03554217, 0.0328668 ,\n", + " 0.03160829, 0.03500854, 0.03518505, 0.03802396, 0.03382609,\n", + " 0.03533318, 0.03737554, 0.0356686 , 0.03663953, 0.03227157,\n", + " 0.03481935, 0.03576253, 0.03400138, 0.03241717, 0.03400032,\n", + " 0.03524124, 0.03700764, 0.035516 , 0.03326556, 0.0347523 ,\n", + " 0.03360887, 0.03552147, 0.03891137, 0.03637973, 0.03159862,\n", + " 0.03504841, 0.0379897 , 0.03208346, 0.03433131, 0.03581316,\n", + " 0.0366783 , 0.03503443, 0.03424046, 0.03615535, 0.03278988,\n", + " 0.03722024, 0.03527675, 0.03730986, 0.03383385, 0.03724996]),\n", " 'reserve': 65000.0,\n", " 'spot_price': 0.13,\n", " 'supply': 1000000.0,\n", - " 'tokens': array([11792.3035626 , 6691.24642581, 5914.40049019, 5605.21257999,\n", - " 12782.04975636, 6666.5150573 , 15216.84762105, 8394.09060558,\n", - " 14584.01576425, 6094.45252195, 9357.95010546, 11068.73776234,\n", - " 6576.78728318, 10977.36069695, 27265.37389499, 6639.77331058,\n", - " 13609.97652219, 13435.15453682, 13262.07690678, 10432.89062086,\n", - " 12426.65284676, 12587.77436043, 6630.77609937, 9460.57678804,\n", - " 5381.98161693, 16601.16921956, 8311.30336511, 9615.29534836,\n", - " 7747.71641845, 5264.67868403, 15275.72505327, 11140.6933726 ,\n", - " 5850.15405587, 9816.53689769, 5716.51776032, 20903.01539875,\n", - " 7560.81637688, 8179.89430606, 5767.26708927, 11256.66112127,\n", - " 5789.46104487, 8483.28698518, 8557.20867717, 9030.11388641,\n", - " 11928.18447926, 8201.87321987, 13899.07777221, 7607.5420815 ,\n", - " 10121.26719286, 5867.79363524, 7114.24971408, 7878.26338996,\n", - " 11868.1182996 , 9749.50755393, 6384.44180487, 8031.35792073,\n", - " 10140.58620752, 5888.73504073, 15917.48226775, 20581.7811761 ,\n", - " 5354.95152993, 5602.5569788 , 5333.68233155, 6834.50932277,\n", - " 9489.86474889, 7795.99395954, 13198.32878409, 6388.73615404,\n", - " 7749.24805554, 5870.62088506, 17776.74926527, 8584.38560165,\n", - " 8176.75120903, 14343.77895045, 5936.51199282, 5264.89028067,\n", - " 11700.65751467, 7100.50720998, 10428.45715111, 13524.44077852,\n", - " 7086.30022932, 15017.32044677, 15345.49775692, 12369.30624932,\n", - " 9394.40322101, 8876.33801359, 12558.62755447, 5334.46627751,\n", - " 22183.47783199, 5631.10453879, 9912.59369291, 10041.13787703,\n", - " 18306.78076844, 20067.12243301, 9221.63181115, 6056.06124884,\n", - " 7337.42994172, 6795.97267291, 11136.31334776, 5969.7368281 ])}" + " 'tokens': array([ 8696.84412379, 24618.5416872 , 12938.90654439, 8868.15841958,\n", + " 9343.38073418, 19742.31952484, 5197.34309298, 14688.41318904,\n", + " 16577.33997801, 13652.89461484, 7641.01849243, 5578.16922609,\n", + " 5288.09181883, 21739.54713297, 9169.04683988, 13158.65041265,\n", + " 6909.45969379, 13893.37812793, 10633.01796118, 41425.40576617,\n", + " 11116.84138072, 6436.4809852 , 11781.90662124, 11156.85809638,\n", + " 10048.12044091, 6016.76920263, 8883.08209361, 5631.42923601,\n", + " 5842.7830314 , 13687.35090998, 12266.2569246 , 7155.82542286,\n", + " 9760.18937716, 5287.23166073, 5803.11041134, 7041.51422621,\n", + " 5601.55231737, 10828.33033401, 8697.8264906 , 6865.07031472,\n", + " 6317.71991061, 5465.68914512, 7838.09852029, 8596.57150651,\n", + " 6596.9784049 , 8683.88211169, 5350.54930915, 5173.4778677 ,\n", + " 13214.59663391, 6610.80153236, 5707.63374 , 7752.6053994 ,\n", + " 6530.70007354, 8599.67455049, 12628.1729145 , 7252.67714392,\n", + " 10578.62212868, 6839.60317361, 9709.67434549, 12076.5010609 ,\n", + " 12558.37332522, 9824.00642714, 6170.64394762, 6683.39639387,\n", + " 7356.42802841, 19616.285491 , 8840.68874952, 9242.65978574,\n", + " 29932.75094627, 5219.22060523, 9304.3695596 , 5951.69809319,\n", + " 9562.4959806 , 6161.68307481, 10344.35592945, 5488.70926775,\n", + " 10824.89081963, 26223.92812153, 14794.84238986, 15947.30986465,\n", + " 8075.08482231, 7781.83524757, 5686.61715813, 6242.97454422,\n", + " 9966.81693231, 9398.34995371, 5125.5106173 , 5995.84155885,\n", + " 7132.70793236, 6753.16170882, 5666.59547707, 7082.33228417,\n", + " 11664.20945681, 13019.42660967, 6991.52777085, 10557.75865766,\n", + " 22306.16776218, 5734.52730962, 6027.12488131, 7550.00618278])}" ] }, "execution_count": 6, @@ -209,8 +209,14 @@ "#change in F (revenue and spending accounted for)\n", "def revenue_process(params, step, sL, s):\n", " lam = params['lambda']\n", - " rv = sts.expon.rvs(scale=1/lam)\n", + " rv = sts.expon.rvs(loc = 0, scale=1/lam)\n", " delF= 1-1/lam+rv\n", + " \n", + " #avoid the crash (temporary hacks, tune martingale process better)\n", + " if delF <1:\n", + " if s['funds'] <1000:\n", + " delF =1\n", + " \n", " return({'delF':delF})" ] }, @@ -278,7 +284,7 @@ " mech = 'burn'\n", " #solve for burn s.t. p=phat\n", " #if ha is enough\n", - " amt = 10000 #fill in logic here\n", + " amt = 1000 #fill in logic here\n", " if amt> s_a:\n", " amt = s_a\n", " \n", @@ -286,7 +292,7 @@ " mech = 'bond'\n", " #solve for buy s.t. p=phat\n", " #if sa is enough\n", - " amt = 10000 #fill in logic here\n", + " amt = 1000 #fill in logic here\n", " if amt> h_a:\n", " amt = h_a\n", " \n", @@ -393,10 +399,10 @@ " s_a = _input['s_a']\n", " a = _input['a']\n", " \n", - " tokens = s['holdings']\n", + " tokens = s['tokens']\n", " tokens[a] = s_a\n", " \n", - " key = 'holdings'\n", + " key = 'tokens'\n", " value = tokens\n", " \n", " return (key, value)" @@ -471,26 +477,26 @@ "name": "stdout", "output_type": "stream", "text": [ - "[{'N': 1, 'T': range(0, 10000), 'M': {'kappa': 2, 'lambda': 20, 'gains': array([4.30267931, 2.31649808, 0.40072669, 0.29947672, 0.79052321,\n", - " 0.85710034, 0.71148247, 1.56541014, 0.88381662, 0.93680619,\n", - " 3.11524746, 2.63293283, 0.7382524 , 2.05953768, 1.60509151,\n", - " 0.37256795, 0.14802233, 0.28160496, 0.36476087, 0.80204989,\n", - " 0.98728308, 1.37019036, 0.39278921, 1.13916299, 0.49052357,\n", - " 1.39671233, 1.31674289, 0.69602648, 0.45426833, 1.57585358,\n", - " 0.79653988, 1.20370353, 1.22985914, 0.1820479 , 5.45725759,\n", - " 0.98894992, 0.6326771 , 3.74072733, 0.34143169, 0.40108877,\n", - " 1.86675886, 0.31510373, 0.46295893, 0.7622127 , 0.63848493,\n", - " 2.16696366, 0.99468836, 0.64567998, 0.38629526, 0.62350857,\n", - " 1.94218455, 0.51305449, 2.11880099, 0.79905988, 0.87252215,\n", - " 0.34799867, 0.26849755, 1.87345064, 0.9126891 , 0.97781999,\n", - " 0.16534882, 0.86135212, 0.23085874, 0.84857163, 1.20828451,\n", - " 0.20497155, 2.43340139, 1.37612762, 0.7287905 , 2.07219692,\n", - " 0.10691132, 0.66794938, 0.26352085, 0.65164269, 0.29856511,\n", - " 0.84611596, 0.42975566, 1.20678056, 2.07122533, 0.42326272,\n", - " 0.19021207, 0.93681583, 2.64894105, 2.27161015, 0.72116873,\n", - " 0.53635419, 0.29627963, 0.39780774, 0.52338934, 0.97869986,\n", - " 0.46063284, 0.43177441, 0.18284669, 1.3095841 , 1.5879754 ,\n", - " 0.16650463, 1.19000535, 2.35817933, 1.37333193, 0.44665741]), 'population': 100, 'phi': 0.05, 'invariant': 15384615.384615384}}]\n" + "[{'N': 1, 'T': range(0, 10000), 'M': {'kappa': 2, 'lambda': 200, 'gains': array([1.05044752, 1.01547431, 0.99090337, 0.96832804, 0.95626203,\n", + " 0.9536014 , 1.00699095, 1.00639181, 1.0124076 , 0.97047996,\n", + " 1.06225222, 1.00758862, 1.00538574, 0.93287257, 1.02637896,\n", + " 0.98499663, 0.89038189, 1.00366084, 1.01243749, 1.03859099,\n", + " 1.07318344, 1.0421978 , 1.06402269, 1.09438427, 0.98310885,\n", + " 1.0016433 , 0.97706903, 0.97263094, 1.00566796, 0.96094607,\n", + " 0.93530768, 1.07514353, 1.00040203, 0.99547888, 0.96499954,\n", + " 0.96441107, 0.98604658, 0.98912561, 0.95603367, 0.96398389,\n", + " 0.98875942, 0.97281282, 1.00770431, 1.05180774, 1.10182174,\n", + " 0.96572804, 0.96536925, 0.99168547, 0.87409068, 1.00436931,\n", + " 1.01529099, 0.9998338 , 1.08755008, 0.99226773, 0.91545662,\n", + " 0.99147666, 1.03914736, 1.038744 , 1.01549047, 0.9390514 ,\n", + " 0.90309398, 1.00024399, 1.00528723, 1.08639874, 0.96645965,\n", + " 1.00951948, 1.06787252, 1.019103 , 1.04684384, 0.92204481,\n", + " 0.99483868, 1.02178659, 0.97146806, 0.926205 , 0.97143772,\n", + " 1.00689265, 1.05736112, 1.01474298, 0.95044444, 0.99292276,\n", + " 0.96025343, 1.01489927, 1.11175339, 1.03942098, 0.9028178 ,\n", + " 1.00138325, 1.08542007, 0.91667025, 0.9808946 , 1.02323302,\n", + " 1.04795134, 1.00098361, 0.9782989 , 1.03301012, 0.93685377,\n", + " 1.06343554, 1.00790713, 1.0659959 , 0.96668144, 1.06428466]), 'population': 100, 'phi': 0.05, 'invariant': 15384615.384615384}}]\n" ] } ], @@ -538,15 +544,19 @@ " \\___/\\__,_/\\__,_/\\____/_/ |_/_____/ \n", " by BlockScience\n", " \n", - "Execution Mode: multi_proc: []\n", - "Configurations: []\n" + "Execution Mode: multi_proc: []\n", + "Configurations: []\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:47: RuntimeWarning: invalid value encountered in double_scalars\n", + " realized_price = deltaR/deltaS\n", "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:37: RuntimeWarning: invalid value encountered in double_scalars\n", + " realized_price = deltaR/deltaS\n", + "/Users/zargham/Documents/GitHub/conviction/bonding_curve_eq.py:47: RuntimeWarning: divide by zero encountered in double_scalars\n", " realized_price = deltaR/deltaS\n" ] } @@ -589,7 +599,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 20, @@ -598,9 +608,9 @@ }, { "data": { - "image/png": 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\n", 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\n", 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M+QPgr8vyjcBny/KaMv484IqynXOafk8N9OFC4DeB9wCfbPq9NNyLNwC/XJZfB/yg6ffTYC9+DlhWlpcDx+YfL7VbP33oeP7zwD8AHxjGHN1zGLwTXwWSmT8B5r8KpNNGYFdZ/hxwTUREqT+QmT/OzO8B02V7S1HPfcjMFzPzK8D/jm66Q9VPL76RmfOf+XkSOD8izhvJrIejn168lJlzpX4+XT4ou4T083uCiLgBeIb2z8RQGA6D1+2rQFacbkz5YX8BePUi110q+unD2WZQvfg94BuZ+eMhzXMU+upFRKyLiCeBg8B7OsJiqem5DxFxIfBB4KPDnKDhMHiL+SqQ041Z1NeILBH99OFs03cvIuJK4OPAuwc4ryb01YvMfDQzrwR+A7g9Is4f8PxGpZ8+fBT4RGbODnxWHQyHwVvMV4GcGBMRy4BfBI4vct2lop8+nG366kVErAS+AGzKzO8OfbbDNZCfi8x8CniR9nmYpaifPqwD/iwiDgPvBz5UPkQ8UIbD4C3mq0B2A5vL8tuBf832GabdwI3lKoUrgNXA10Y070Hrpw9nm557EREXAXuA2zPz30Y24+HppxdXlF+SRMRrgF8FDo9m2gPXcx8y87cyc1VmrgL+AvjTzBz8VX1Nn7U/G2/A9cB/0L4a4cOldgfwu2X5fNpXGUzT/uX/2o51P1zWexq4run30mAfDtP+K2mW9l9Qa0Y9/3HoBfDHtP9CfqLjdlnT76ehXryT9gnYJ4CvAzc0/V6a6MMp2/gIQ7payU9IS5IqHlaSJFUMB0lSxXCQJFUMB0lSxXCQJFUMB0lSxXCQJFUMB0lS5f8BYbSiGfwozmwAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -677,7 +687,7 @@ "metadata": {}, "outputs": [], "source": [ - "rdf = df[df.substep == 3]" + "rdf = df[df.substep == 3].copy()" ] }, { @@ -688,7 +698,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 24, @@ -697,9 +707,9 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -717,24 +727,24 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 27, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -752,83 +762,44 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['median_price']=rdf.prices.apply(np.median)\n", + "rdf['mean_price']=rdf.prices.apply(np.mean)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "3 {'agent': 26, 'mech': 'burn', 'amt': 8311.3033...\n", - "6 {'agent': 14, 'mech': 'burn', 'amt': 10000}\n", - "9 {'agent': 29, 'mech': 'burn', 'amt': 5264.6786...\n", - "12 {'agent': 4, 'mech': 'burn', 'amt': 10000}\n", - "15 {'agent': 16, 'mech': 'burn', 'amt': 10000}\n", - "18 {'agent': 52, 'mech': 'burn', 'amt': 10000}\n", - "21 {'agent': 11, 'mech': 'burn', 'amt': 10000}\n", - "24 {'agent': 46, 'mech': 'burn', 'amt': 10000}\n", - "27 {'agent': 77, 'mech': 'burn', 'amt': 7100.5072...\n", - "30 {'agent': 90, 'mech': 'burn', 'amt': 9912.5936...\n", - "33 {'agent': 33, 'mech': 'burn', 'amt': 9816.5368...\n", - "36 {'agent': 81, 'mech': 'burn', 'amt': 10000}\n", - "39 {'agent': 93, 'mech': 'burn', 'amt': 10000}\n", - "42 {'agent': 10, 'mech': 'bond', 'amt': 12.058109...\n", - "45 {'agent': 69, 'mech': 'burn', 'amt': 5870.6208...\n", - "48 {'agent': 17, 'mech': 'burn', 'amt': 10000}\n", - "51 {'agent': 16, 'mech': 'burn', 'amt': 10000}\n", - "54 {'agent': 71, 'mech': 'burn', 'amt': 8584.3856...\n", - "57 {'agent': 62, 'mech': 'burn', 'amt': 5333.6823...\n", - "60 {'agent': 61, 'mech': 'burn', 'amt': 5602.5569...\n", - "63 {'agent': 5, 'mech': 'burn', 'amt': 6666.51505...\n", - "66 {'agent': 93, 'mech': 'burn', 'amt': 10000}\n", - "69 {'agent': 35, 'mech': 'burn', 'amt': 10000}\n", - "72 {'agent': 90, 'mech': 'burn', 'amt': 9912.5936...\n", - "75 {'agent': 50, 'mech': 'bond', 'amt': 11.818082...\n", - "78 {'agent': 55, 'mech': 'burn', 'amt': 8031.3579...\n", - "81 {'agent': 84, 'mech': 'burn', 'amt': 9394.4032...\n", - "84 {'agent': 23, 'mech': 'burn', 'amt': 9460.5767...\n", - "87 {'agent': 17, 'mech': 'burn', 'amt': 10000}\n", - "90 {'agent': 79, 'mech': 'burn', 'amt': 10000}\n", - " ... \n", - "29913 {'agent': 91, 'mech': 'burn', 'amt': 10000}\n", - "29916 {'agent': 18, 'mech': 'burn', 'amt': 10000}\n", - "29919 {'agent': 82, 'mech': 'burn', 'amt': 10000}\n", - "29922 {'agent': 58, 'mech': 'burn', 'amt': 10000}\n", - "29925 {'agent': 28, 'mech': 'burn', 'amt': 7747.7164...\n", - "29928 {'agent': 89, 'mech': 'burn', 'amt': 5631.1045...\n", - "29931 {'agent': 44, 'mech': 'burn', 'amt': 10000}\n", - "29934 {'agent': 87, 'mech': 'burn', 'amt': 5334.4662...\n", - "29937 {'agent': 19, 'mech': 'burn', 'amt': 10000}\n", - "29940 {'agent': 70, 'mech': 'burn', 'amt': 10000}\n", - "29943 {'agent': 34, 'mech': 'bond', 'amt': 10000}\n", - "29946 {'agent': 70, 'mech': 'burn', 'amt': 10000}\n", - "29949 {'agent': 11, 'mech': 'burn', 'amt': 10000}\n", - "29952 {'agent': 11, 'mech': 'burn', 'amt': 10000}\n", - "29955 {'agent': 35, 'mech': 'burn', 'amt': 10000}\n", - "29958 {'agent': 65, 'mech': 'burn', 'amt': 7795.9939...\n", - "29961 {'agent': 97, 'mech': 'burn', 'amt': 6795.9726...\n", - "29964 {'agent': 27, 'mech': 'burn', 'amt': 9615.2953...\n", - "29967 {'agent': 44, 'mech': 'burn', 'amt': 10000}\n", - "29970 {'agent': 90, 'mech': 'burn', 'amt': 9912.5936...\n", - "29973 {'agent': 98, 'mech': 'burn', 'amt': 10000}\n", - "29976 {'agent': 75, 'mech': 'burn', 'amt': 5264.8902...\n", - "29979 {'agent': 88, 'mech': 'burn', 'amt': 10000}\n", - "29982 {'agent': 59, 'mech': 'burn', 'amt': 10000}\n", - "29985 {'agent': 81, 'mech': 'burn', 'amt': 10000}\n", - "29988 {'agent': 29, 'mech': 'burn', 'amt': 5264.6786...\n", - "29991 {'agent': 55, 'mech': 'burn', 'amt': 8031.3579...\n", - "29994 {'agent': 35, 'mech': 'burn', 'amt': 10000}\n", - "29997 {'agent': 72, 'mech': 'burn', 'amt': 8176.7512...\n", - "30000 {'agent': 94, 'mech': 'burn', 'amt': 9221.6318...\n", - "Name: action, Length: 10000, dtype: object" + "" ] }, - "execution_count": 25, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ - "rdf.action" + "(np.sign(rdf['mean_price']-rdf['spot_price'])*(rdf['mean_price']-rdf['spot_price'])**2).apply(np.log10).plot(alpha=1)\n", + "(-np.sign(rdf['mean_price']-rdf['spot_price'])*(rdf['mean_price']-rdf['spot_price'])**2).apply(np.log10).plot(alpha=.5)\n", + "plt.legend(['over','under'])" ] }, { @@ -839,18 +810,117 @@ { "data": { "text/plain": [ - "" + "3 {'agent': 99, 'mech': 'burn', 'amt': 1000}\n", + "6 {'agent': 54, 'mech': 'burn', 'amt': 1000}\n", + "9 {'agent': 10, 'mech': 'burn', 'amt': 1000}\n", + "12 {'agent': 13, 'mech': 'burn', 'amt': 1000}\n", + "15 {'agent': 25, 'mech': 'burn', 'amt': 1000}\n", + "18 {'agent': 95, 'mech': 'burn', 'amt': 1000}\n", + "21 {'agent': 44, 'mech': 'burn', 'amt': 1000}\n", + "24 {'agent': 43, 'mech': 'burn', 'amt': 1000}\n", + "27 {'agent': 52, 'mech': 'burn', 'amt': 1000}\n", + "30 {'agent': 44, 'mech': 'burn', 'amt': 1000}\n", + "33 {'agent': 59, 'mech': 'burn', 'amt': 1000}\n", + "36 {'agent': 7, 'mech': 'burn', 'amt': 1000}\n", + "39 {'agent': 37, 'mech': 'burn', 'amt': 1000}\n", + "42 {'agent': 55, 'mech': 'burn', 'amt': 1000}\n", + "45 {'agent': 19, 'mech': 'burn', 'amt': 1000}\n", + "48 {'agent': 48, 'mech': 'burn', 'amt': 1000}\n", + "51 {'agent': 32, 'mech': 'burn', 'amt': 1000}\n", + "54 {'agent': 12, 'mech': 'burn', 'amt': 1000}\n", + "57 {'agent': 8, 'mech': 'burn', 'amt': 1000}\n", + "60 {'agent': 83, 'mech': 'burn', 'amt': 1000}\n", + "63 {'agent': 38, 'mech': 'burn', 'amt': 1000}\n", + "66 {'agent': 17, 'mech': 'burn', 'amt': 1000}\n", + "69 {'agent': 32, 'mech': 'burn', 'amt': 1000}\n", + "72 {'agent': 66, 'mech': 'burn', 'amt': 1000}\n", + "75 {'agent': 31, 'mech': 'burn', 'amt': 1000}\n", + "78 {'agent': 78, 'mech': 'burn', 'amt': 1000}\n", + "81 {'agent': 72, 'mech': 'burn', 'amt': 1000}\n", + "84 {'agent': 65, 'mech': 'burn', 'amt': 1000}\n", + "87 {'agent': 79, 'mech': 'burn', 'amt': 1000}\n", + "90 {'agent': 66, 'mech': 'burn', 'amt': 1000}\n", + " ... \n", + "29913 {'agent': 47, 'mech': 'burn', 'amt': 0.0}\n", + "29916 {'agent': 17, 'mech': 'burn', 'amt': 1000}\n", + "29919 {'agent': 86, 'mech': 'bond', 'amt': 0.0}\n", + "29922 {'agent': 95, 'mech': 'bond', 'amt': 0.0}\n", + "29925 {'agent': 68, 'mech': 'bond', 'amt': 0.0}\n", + "29928 {'agent': 6, 'mech': 'burn', 'amt': 1000}\n", + "29931 {'agent': 60, 'mech': 'burn', 'amt': 0.0}\n", + "29934 {'agent': 68, 'mech': 'bond', 'amt': 0.0}\n", + "29937 {'agent': 65, 'mech': 'burn', 'amt': 1000}\n", + "29940 {'agent': 0, 'mech': 'bond', 'amt': 0.0}\n", + "29943 {'agent': 32, 'mech': 'burn', 'amt': 1000}\n", + "29946 {'agent': 91, 'mech': 'burn', 'amt': 1000}\n", + "29949 {'agent': 15, 'mech': 'burn', 'amt': 0.0}\n", + "29952 {'agent': 75, 'mech': 'bond', 'amt': 64.300879...\n", + "29955 {'agent': 2, 'mech': 'burn', 'amt': 0.0}\n", + "29958 {'agent': 30, 'mech': 'burn', 'amt': 0.0}\n", + "29961 {'agent': 14, 'mech': 'bond', 'amt': 0.0}\n", + "29964 {'agent': 74, 'mech': 'burn', 'amt': 0.0}\n", + "29967 {'agent': 28, 'mech': 'burn', 'amt': 0.0}\n", + "29970 {'agent': 21, 'mech': 'bond', 'amt': 0.0}\n", + "29973 {'agent': 76, 'mech': 'bond', 'amt': 0.0}\n", + "29976 {'agent': 17, 'mech': 'burn', 'amt': 1000}\n", + "29979 {'agent': 57, 'mech': 'bond', 'amt': 0.0}\n", + "29982 {'agent': 12, 'mech': 'burn', 'amt': 1000}\n", + "29985 {'agent': 76, 'mech': 'bond', 'amt': 0.0}\n", + "29988 {'agent': 36, 'mech': 'burn', 'amt': 0.0}\n", + "29991 {'agent': 89, 'mech': 'bond', 'amt': 0.0}\n", + "29994 {'agent': 18, 'mech': 'bond', 'amt': 315.09653...\n", + "29997 {'agent': 10, 'mech': 'bond', 'amt': 0.0}\n", + "30000 {'agent': 33, 'mech': 'burn', 'amt': 0.0}\n", + "Name: action, Length: 10000, dtype: object" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" + } + ], + "source": [ + "rdf.action" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['invariant'] = rdf.supply.apply(lambda x: x**kappa)/rdf.reserve" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['resid'] = rdf.invariant-V0" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -858,7 +928,246 @@ } ], "source": [ - "rdf.spot_price.plot()" + "rdf.resid.apply(np.log10).plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.plot(x='reserve', y='supply', kind='scatter', alpha=.5)\n", + "axis = plt.axis()\n", + "xrange = np.arange(axis[0], axis[1], (axis[1]-axis[0])/100)\n", + "yrange = np.array([supply(x, V0, kappa) for x in xrange ])\n", + "plt.plot(xrange, yrange, 'y')\n", + "plt.title('Bonding Curve Invariant')\n", + "plt.legend(['Invariant', 'Observed Data'])" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(rdf.tokens.apply(sum)-rdf.supply).plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "def gini(x):\n", + "\n", + " # Mean absolute difference\n", + " mad = np.abs(np.subtract.outer(x, x)).mean()\n", + " # Relative mean absolute difference\n", + " rmad = mad/np.mean(x)\n", + " # Gini coefficient\n", + " g = 0.5 * rmad\n", + " return g" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['gini_h'] = rdf.holdings.apply(gini)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.gini_h.plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['gini_s'] = rdf.tokens.apply(gini)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.tokens.apply(np.count_nonzero).plot()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['asset_value'] = rdf.holdings + rdf.spot_price*rdf.tokens" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "rdf['gini'] = rdf.asset_value.apply(gini)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rdf.gini.plot()" ] }, {