diff --git a/cryptarchia/total-stake-inference-v2.ipynb b/cryptarchia/total-stake-inference-v2.ipynb index 0a410e6..0ee870f 100644 --- a/cryptarchia/total-stake-inference-v2.ipynb +++ b/cryptarchia/total-stake-inference-v2.ipynb @@ -33,7 +33,7 @@ "outputs": [ { "data": { - "image/png": "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", + "image/png": "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", "text/plain": [ "
" ] @@ -59,7 +59,7 @@ { "data": { "text/plain": [ - "np.float64(50.95342907073725)" + "np.float64(49.31998548375692)" ] }, "execution_count": 4, @@ -86,263 +86,139 @@ }, { "cell_type": "code", - "execution_count": 6, - "id": "e0ec9157-b947-4c81-970e-44aaaab92690", + "execution_count": null, + "id": "ebf4d81d-a921-4afa-a847-1b13f8eea248", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "51.334709068122095 50.95342907073725 success 3\n", - "50.7864176960449 50.95342907073725 success 4\n", - "51.18820967188592 50.95342907073725 success 2\n", - "50.60103188904984 50.95342907073725 success 3\n", - "51.067905207934686 50.95342907073725 success 4\n", - "50.90080155155143 50.95342907073725 success 5\n", - "50.995763659016596 50.95342907073725 success 2\n", - "50.70583527540505 50.95342907073725 success 2\n" - ] - } - ], + "outputs": [], "source": [ "epochs = 30\n", + "shock_size = [5, 10, 25, 50]\n", + "sims = 100\n", + "beta = 0.8\n", + "\n", "D_values = []\n", "D_values_hi = []\n", "\n", - "shock_size = [5, 10, 25, 50]\n", - "epochs_to_reach = [-1, -1, -1, -1]\n", - "epochs_to_reach_hi = [-1, -1, -1, -1]\n", - "for j in range(0, len(shock_size)):\n", - " D_values_j = []\n", - " \n", - " # Initial stake estimate (lower shock)\n", - " D_ell = true_stake - (true_stake * shock_size[j] / 100)\n", - " for i in range(0, epochs):\n", - " \n", - " # Running one epoch of the cryptarchia lottery\n", - " alpha = stake / D_ell\n", - " p_lottery = phi(f, alpha)\n", - " wins = np.random.uniform(0, 1, (T, len(stake))) < p_lottery\n", - " \n", - " # Total Stake Inference\n", - " empirical_slot_activation_rate = (wins.sum(axis=1) != 0).sum() / T\n", - " error = f - empirical_slot_activation_rate\n", - " \n", - " # Learning coefficient\n", - " beta = 0.8\n", - " h = beta * (D_ell / f)\n", - " \n", - " # New total stake estimate\n", - " D_ell = D_ell - h * error\n", - " D_values_j.append(D_ell)\n", + "def run_simulation(D_init, stake, sims, epochs, T):\n", + " results = []\n", + " for k in range(sims):\n", + " D_ell = D_init\n", + " D_sim = np.empty(epochs)\n", + " \n", + " for i in range(epochs):\n", + " D_sim[i] = D_ell\n", "\n", - " if epochs_to_reach[j] < 0 and D_ell >= true_stake:\n", - " epochs_to_reach[j] = i\n", - " print(D_ell, \" \", true_stake, \"success\", epochs_to_reach[j])\n", - " \n", - " D_values.append(D_values_j)\n", + " alpha = stake / D_ell\n", + " p_lottery = phi(f, alpha)\n", + " wins = np.random.uniform(0, 1, (T, len(stake))) < p_lottery\n", "\n", - " D_values_j = []\n", - " \n", - " # Initial stake estimate (lower shock)\n", - " D_ell = true_stake + (true_stake * shock_size[j] / 100)\n", - " for i in range(0, epochs):\n", - " \n", - " # Running one epoch of the cryptarchia lottery\n", - " alpha = stake / D_ell\n", - " p_lottery = phi(f, alpha)\n", - " wins = np.random.uniform(0, 1, (T, len(stake))) < p_lottery\n", - " \n", - " # Total Stake Inference\n", - " empirical_slot_activation_rate = (wins.sum(axis=1) != 0).sum() / T\n", - " error = f - empirical_slot_activation_rate\n", - " \n", - " # Learning coefficient\n", - " beta = 0.8\n", - " h = beta * (D_ell / f)\n", - " \n", - " # New total stake estimate\n", - " D_ell = D_ell - h * error\n", - " D_values_j.append(D_ell)\n", + " empirical_slot_activation_rate = np.count_nonzero(np.sum(wins, axis=1)) / T\n", + " error = f - empirical_slot_activation_rate\n", "\n", - " if epochs_to_reach_hi[j] < 0 and D_ell <= true_stake:\n", - " epochs_to_reach_hi[j] = i\n", - " print(D_ell, \" \", true_stake, \"success\", epochs_to_reach_hi[j])\n", - " \n", - " D_values_hi.append(D_values_j)" + " h = beta * (D_ell / f)\n", + " D_ell = D_ell - h * error\n", + "\n", + " results.append(D_sim)\n", + " \n", + " return results\n", + "\n", + "for shock in shock_size:\n", + "\n", + " # Low shock run\n", + " D_init_low = true_stake - (true_stake * shock / 100)\n", + " D_values.append(run_simulation(D_init_low, stake, sims, epochs, T))\n", + " print(f\"Low shock {shock}% done.\")\n", + "\n", + " # High shock run\n", + " D_init_hi = true_stake + (true_stake * shock / 100)\n", + " D_values_hi.append(run_simulation(D_init_hi, stake, sims, epochs, T))\n", + " print(f\"High shock {shock}% done.\")\n" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, + "id": "e0ec9157-b947-4c81-970e-44aaaab92690", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "403dd825-b4f7-4c57-8b08-9f7bfdb58a9a", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, "id": "e993f286-400b-4338-84fe-b1ef00325056", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# plot convergence for lower estimates\n", - "for i in range(0, 4):\n", - " plt.plot(range(0, epochs), D_values[i])\n", - " _ = plt.plot(range(0, epochs), np.full_like(range(0, epochs), true_stake, dtype=float))\n", + "for j in range(0, len(shock_size)):\n", + " for k in range(0, sims):\n", + " plt.plot(range(0, epochs), D_values[j][k])\n", + " plt.plot(range(0, epochs), np.full_like(range(0, epochs), true_stake, dtype=float))\n", + " plt.xlabel(\"Epoch\")\n", + " plt.ylabel(\"Stake\")\n", + " plt.title(f\"Stake estimate convergence after a {shock_size[j]}% shock (increase)\")\n", " plt.show()" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "f6e41015-2290-4869-8dd2-657971b1815c", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# plot convergence for higher estimates\n", - "for i in range(0, 4):\n", - " plt.plot(range(0, epochs), D_values_hi[i])\n", - " _ = plt.plot(range(0, epochs), np.full_like(range(0, epochs), true_stake, dtype=float))\n", + "for j in range(0, len(shock_size)):\n", + " for k in range(0, sims):\n", + " plt.plot(range(0, epochs), D_values[j][k])\n", + " plt.plot(range(0, epochs), np.full_like(range(0, epochs), true_stake, dtype=float))\n", + " plt.xlabel(\"Epoch\")\n", + " plt.ylabel(\"Stake\")\n", + " plt.title(f\"Stake estimate convergence after a {shock_size[j]}% shock (decrease)\")\n", " plt.show()" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "86972409-8881-462b-b5c0-d06b98c7474f", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "plt.plot(range(0,4), epochs_to_reach)" + "# plot error for lower estimates\n", + "for j in range(0, len(shock_size)):\n", + " for k in range(0, sims):\n", + " plt.plot(range(0, epochs), np.abs((D_values[j][k] - true_stake) / true_stake))\n", + " plt.xlabel(\"Epoch\")\n", + " plt.ylabel(\"Normalised error\")\n", + " plt.title(f\"Normalised error after a {shock_size[j]}% shock (increase)\")\n", + " plt.show()" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "id": "a2803c7a-e020-48ae-87b8-19722673e2a1", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": "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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "plt.plot(range(0,4), epochs_to_reach_hi)" + "# plot error for higher estimates\n", + "for j in range(0, len(shock_size)):\n", + " for k in range(0, sims):\n", + " plt.plot(range(0, epochs), np.abs((D_values_hi[j][k] - true_stake) / true_stake))\n", + " plt.xlabel(\"Epoch\")\n", + " plt.ylabel(\"Normalised error\")\n", + " plt.title(f\"Normalised error after a {shock_size[j]}% shock (decrease)\")\n", + " plt.show()" ] }, {