from otree.api import * import random import numpy as np import math # FUNCTIONS ----------------------- def create_lottery_order(start=1, end=30): numbers = list(range(start, end + 1)) random.shuffle(numbers) return numbers def create_algo_order(): algos = ['eu', 'steering'] random.shuffle(algos) return algos def create_color_order(): colors = ['red', 'green'] random.shuffle(colors) return colors def min_max_scale_dict(d): values = d.values() min_val = min(values) max_val = max(values) # Ensure max_val and min_val are not the same to avoid division by zero if max_val == min_val: return {key: 0 for key in d} # or return d, depending on desired behavior normalized_d = {key: (float(v) - min_val) / (max_val - min_val) for key, v in d.items()} return normalized_d def exp_pi(outcomes, probas): lo = len(outcomes) pi = 0 pkeys = list(probas) for i in range(lo): pi = pi + probas[pkeys[i]]*outcomes[i] return pi def crra(x, r): u = (x ** (1-r))/(1-r) return u def crra_eu(outcomes, probas, r): lo = len(outcomes) eu = 0 pkeys = list(probas) for i in range(lo): eu = eu + probas[pkeys[i]]*crra(outcomes[i], r) return eu def multiply_values_and_convert_to_int(input_dict): """ Multiplies each numerical value in the dictionary by 100 and converts the format into int. Parameters: input_dict (dict): A dictionary where each value is another dictionary with numerical values. Returns: dict: A modified dictionary with each numerical value multiplied by 100 and converted to int. """ # Iterate through the outer dictionary for key in input_dict: # Iterate through the inner dictionary for sub_key in input_dict[key]: # Multiply each value by 100 and convert to int input_dict[key][sub_key] = int(input_dict[key][sub_key] * 100) return input_dict def display_lottery(lot, prizes): p3 = "P(" + str(prizes[2]) + ") = " + str(lot['p3']) + "%, " p2 = "P(" + str(prizes[1]) + ") = " + str(lot['p2']) + "%, " p1 = "P(" + str(prizes[0]) + ") = " + str(lot['p1']) + "%" return "[" + p3+p2+p1 + "]" def get_5_random_lotteries(lotteries): clot_all = lotteries clot = clot_all[str(1)] random_keys = random.sample(list(clot.keys()), 5) random_subset = {key: clot[key] for key in random_keys} lot_out = {i: value for i, (_, value) in enumerate(random_subset.items())} return lot_out class C(BaseConstants): NAME_IN_URL = 'train_algorithms' PLAYERS_PER_GROUP = None NUM_ROUNDS = 1 LOTTERIES = {"1": {"65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "9": {"p1": 0.18, "p2": 0.1, "p3": 0.72}, "46": {"p1": 0.12, "p2": 0.8, "p3": 0.08}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}}, "2": {"68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "7": {"p1": 0.14, "p2": 0.3, "p3": 0.56}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "5": {"p1": 0.1, "p2": 0.5, "p3": 0.4}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}}, "3": {"60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "9": {"p1": 0.18, "p2": 0.1, "p3": 0.72}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}}, "4": {"60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "9": {"p1": 0.18, "p2": 0.1, "p3": 0.72}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "57": {"p1": 0.14, "p2": 0.8, "p3": 0.06}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "41": {"p1": 0.4, "p2": 0.2, "p3": 0.4}, "69": {"p1": 0.24, "p2": 0.7, "p3": 0.06}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}, "75": {"p1": 0.72, "p2": 0.1, "p3": 0.18}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}}, "5": {"72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "18": {"p1": 0.21, "p2": 0.3, "p3": 0.49}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "53": {"p1": 0.54, "p2": 0.1, "p3": 0.36}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, "46": {"p1": 0.12, "p2": 0.8, "p3": 0.08}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}}, "6": {"72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "4": {"p1": 0.08, "p2": 0.6, "p3": 0.32}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "32": {"p1": 0.4, "p2": 0.0, "p3": 0.6}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "42": {"p1": 0.45, "p2": 0.1, "p3": 0.45}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}}, "7": {"68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "75": {"p1": 0.72, "p2": 0.1, "p3": 0.18}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "60": {"p1": 0.35, "p2": 0.5, "p3": 0.15}, "72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "7": {"p1": 0.14, "p2": 0.3, "p3": 0.56}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "8": {"p1": 0.16, "p2": 0.2, "p3": 0.64}, "38": {"p1": 0.25, "p2": 0.5, "p3": 0.25}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "42": {"p1": 0.45, "p2": 0.1, "p3": 0.45}, "73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}}, "8": {"27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "39": {"p1": 0.3, "p2": 0.4, "p3": 0.3}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}, "15": {"p1": 0.12, "p2": 0.6, "p3": 0.28}, "68": {"p1": 0.16, "p2": 0.8, "p3": 0.04}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "20": {"p1": 0.27, "p2": 0.1, "p3": 0.63}, "52": {"p1": 0.48, "p2": 0.2, "p3": 0.32}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "7": {"p1": 0.14, "p2": 0.3, "p3": 0.56}}, "9": {"30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "50": {"p1": 0.36, "p2": 0.4, "p3": 0.24}, "48": {"p1": 0.24, "p2": 0.6, "p3": 0.16}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "58": {"p1": 0.21, "p2": 0.7, "p3": 0.09}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "4": {"p1": 0.08, "p2": 0.6, "p3": 0.32}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "15": {"p1": 0.12, "p2": 0.6, "p3": 0.28}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "17": {"p1": 0.18, "p2": 0.4, "p3": 0.42}, "28": {"p1": 0.24, "p2": 0.4, "p3": 0.36}, "69": {"p1": 0.24, "p2": 0.7, "p3": 0.06}, "57": {"p1": 0.14, "p2": 0.8, "p3": 0.06}, "37": {"p1": 0.2, "p2": 0.6, "p3": 0.2}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "54": {"p1": 0.6, "p2": 0.0, "p3": 0.4}}, "10": {"73": {"p1": 0.56, "p2": 0.3, "p3": 0.14}, "71": {"p1": 0.4, "p2": 0.5, "p3": 0.1}, "26": {"p1": 0.16, "p2": 0.6, "p3": 0.24}, "40": {"p1": 0.35, "p2": 0.3, "p3": 0.35}, "59": {"p1": 0.28, "p2": 0.6, "p3": 0.12}, "65": {"p1": 0.7, "p2": 0.0, "p3": 0.3}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "70": {"p1": 0.32, "p2": 0.6, "p3": 0.08}, "24": {"p1": 0.08, "p2": 0.8, "p3": 0.12}, "30": {"p1": 0.32, "p2": 0.2, "p3": 0.48}, "43": {"p1": 0.5, "p2": 0.0, "p3": 0.5}, "23": {"p1": 0.04, "p2": 0.9, "p3": 0.06}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "10": {"p1": 0.2, "p2": 0.0, "p3": 0.8}, "27": {"p1": 0.2, "p2": 0.5, "p3": 0.3}, "36": {"p1": 0.15, "p2": 0.7, "p3": 0.15}, "35": {"p1": 0.1, "p2": 0.8, "p3": 0.1}, "34": {"p1": 0.05, "p2": 0.9, "p3": 0.05}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}}, "11": {"56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "45": {"p1": 0.06, "p2": 0.9, "p3": 0.04}, "13": {"p1": 0.06, "p2": 0.8, "p3": 0.14}, "21": {"p1": 0.3, "p2": 0.0, "p3": 0.7}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "34": {"p1": 0.05, "p2": 0.9, "p3": 0.05}, "29": {"p1": 0.28, "p2": 0.3, "p3": 0.42}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "2": {"p1": 0.04, "p2": 0.8, "p3": 0.16}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "25": {"p1": 0.12, "p2": 0.7, "p3": 0.18}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, 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{"p1": 0.28, "p2": 0.3, "p3": 0.42}, "31": {"p1": 0.36, "p2": 0.1, "p3": 0.54}, "76": {"p1": 0.8, "p2": -0.0, "p3": 0.2}, "61": {"p1": 0.42, "p2": 0.4, "p3": 0.18}, "51": {"p1": 0.42, "p2": 0.3, "p3": 0.28}, "56": {"p1": 0.07, "p2": 0.9, "p3": 0.03}, "63": {"p1": 0.56, "p2": 0.2, "p3": 0.24}, "19": {"p1": 0.24, "p2": 0.2, "p3": 0.56}, "47": {"p1": 0.18, "p2": 0.7, "p3": 0.12}, "74": {"p1": 0.64, "p2": 0.2, "p3": 0.16}, "67": {"p1": 0.08, "p2": 0.9, "p3": 0.02}, "64": {"p1": 0.63, "p2": 0.1, "p3": 0.27}, "62": {"p1": 0.49, "p2": 0.3, "p3": 0.21}, "72": {"p1": 0.48, "p2": 0.4, "p3": 0.12}, "49": {"p1": 0.3, "p2": 0.5, "p3": 0.2}}} V1 = 0 V2 = 5 V3 = 10 NEUTRAL_DESCR = "This algorithm uses information from the box task to pick and order lotteries from the set of 50 lotteries." lots = get_5_random_lotteries(LOTTERIES) # endowment for algo choice ENDOWMENT = 3 PRIZES = [V1, V2, V3] class Subsession(BaseSubsession): pass class Group(BaseGroup): pass class Player(BasePlayer): choice = models.IntegerField( choices=[0, 1, 2, 3, 4] ) payout = models.IntegerField() display_string = models.StringField() event_wtp = models.FloatField(initial=0) realized_event = models.StringField() class TrainChoiceIntro(Page): pass class TrainListChoice(Page): form_model = "player" form_fields = ["choice"] def vars_for_template(player: Player): l = C.lots return { "l":l } def before_next_page(player: Player, timeout_happened): lots = C.lots choice = player.choice chosen_lottery = lots[choice] w_list = list(chosen_lottery.values()) player.payout = random.choices(C.PRIZES, weights=w_list, k=1)[0] player.display_string = display_lottery(chosen_lottery, C.PRIZES) class TrainListResult(Page): pass class TrainAlgoChoice(Page): form_model = "player" form_fields = ["event_wtp"] def before_next_page(player: Player, timeout_happened): player.realized_event = random.choices(["event A", "event B"], weights=[1-player.event_wtp, player.event_wtp], k=1)[0] class TrainAlgoResult(Page): def vars_for_template(player: Player): event1_proba = str(int((1-player.event_wtp)*100)) event2_proba = str(int(player.event_wtp*100)) return { "event1_proba" : event1_proba, "event2_proba" : event2_proba } class TrainEnd(Page): pass page_sequence = [TrainListChoice, TrainListResult, TrainAlgoChoice, TrainAlgoResult, TrainEnd]