2c:null 2d:["$","title",null,{"children":"Labour Discipline Model: Best Response Functions and Isocosts | Ralphs, Alexander | Observable"}] 32:T1220,function plotcurves() { const brf = function (wage, res_wage, effort_mod) { // if (wage != res_wage) { // return (effort_mod*(wage-res_wage)**0.3)/7 // } else { // return 0 // } return (effort_mod*Math.log(wage-res_wage+1))/8 // return effort_mod*(2500-(wage-res_wage-50)**2)/5000 } const isocost = function(wage, cost) { if (wage < 1) { return Math.NaN } else { return wage / cost } } let data = [] for (let w = 0; w<=50; w=w+0.1) { let w_round = w.toFixed(2) if (brf_1_on == true) { if (brf(w_round, res_wage_1, effort_mod_1) < 0) { data.push({'line': 'brf_1', 'w': w_round, 'e': Math.NaN, 'stroke': brf_1_color}) } else { data.push({'line': 'brf_1', 'w': w_round, 'e': brf(w_round, res_wage_1, effort_mod_1), 'stroke': brf_1_color}) } } if (brf_2_on == true) { if (brf(w_round, res_wage_2, effort_mod_2) < 0) { data.push({'line': 'brf_2', 'w': w_round, 'e': Math.NaN, 'stroke': brf_2_color}) } else { data.push({'line': 'brf_2', 'w': w_round, 'e': brf(w_round, res_wage_2, effort_mod_2), 'stroke': brf_2_color}) } } if (brf_3_on == true) { if (brf(w_round, res_wage_3, effort_mod_3) < 0) { data.push({'line': 'brf_3', 'w': w_round, 'e': Math.NaN, 'stroke': brf_3_color}) } else { data.push({'line': 'brf_3', 'w': w_round, 'e': brf(w_round, res_wage_3, effort_mod_3), 'stroke': brf_3_color}) } } if (isocost_1_on == true) { data.push({'line': 'isocost_1', 'w': w_round, 'e': isocost(w_round, cost_1), 'stroke': brf_1_color}) } if (isocost_2_on == true) { data.push({'line': 'isocost_2', 'w': w_round, 'e': isocost(w_round, cost_2), 'stroke': brf_2_color}) } if (isocost_3_on == true) { data.push({'line': 'isocost_3', 'w': w_round, 'e': isocost(w_round, cost_3), 'stroke': brf_3_color}) } } let labels = [] if (brf_1_on == true) { labels.push({'line': 'brf_1', 'w': 49, 'e': brf(49, res_wage_1, effort_mod_1)+0.025, 'stroke': brf_1_color, 'label': 'BRF1'}) } else { labels.push({'line': 'brf_1', 'w': 49, 'e': brf(49, res_wage_1, effort_mod_1)+0.025, 'stroke': brf_1_color, 'label': ''}) } if (brf_2_on == true) { labels.push({'line': 'brf_2', 'w': 49, 'e': brf(49, res_wage_2, effort_mod_2)+0.025, 'stroke': brf_2_color, 'label': 'BRF2'}) } else { labels.push({'line': 'brf_2', 'w': 49, 'e': brf(49, res_wage_2, effort_mod_2)+0.025, 'stroke': brf_2_color, 'label': ''}) } if (brf_3_on == true) { labels.push({'line': 'brf_3', 'w': 49, 'e': brf(49, res_wage_3, effort_mod_3)+0.025, 'stroke': brf_3_color, 'label': 'BRF3'}) } else { labels.push({'line': 'brf_3', 'w': 49, 'e': brf(49, res_wage_3, effort_mod_3)+0.025, 'stroke': brf_3_color, 'label': ''}) } if (isocost_1_on == true) { labels.push({'line': 'isocost_1', 'w': Math.min(49, cost_1-1.5), 'e': Math.min(isocost(49, cost_1)+0.025, 1), 'stroke': brf_1_color, 'label': 'Isocost1'}) } else { labels.push({'line': 'isocost_1', 'w': Math.min(49, cost_1-1.5), 'e': Math.min(isocost(49, cost_1)+0.025, 1), 'stroke': brf_1_color, 'label': ''}) } if (isocost_2_on == true) { labels.push({'line': 'isocost_2', 'w': Math.min(49, cost_2-1.5), 'e': Math.min(isocost(49, cost_2)+0.025, 1), 'stroke': brf_2_color, 'label': 'Isocost2'}) } else { labels.push({'line': 'isocost_2', 'w': Math.min(49, cost_2-1.5), 'e': Math.min(isocost(49, cost_2)+0.025, 1), 'stroke': brf_2_color, 'label': ''}) } if (isocost_3_on == true) { labels.push({'line': 'isocost_3', 'w': Math.min(49, cost_3-1.5), 'e': Math.min(isocost(49, cost_3)+0.025, 1), 'stroke': brf_3_color, 'label': 'Isocost3'}) } else { labels.push({'line': 'isocost_3', 'w': Math.min(49, cost_3-1.5), 'e': Math.min(isocost(49, cost_3)+0.025, 1), 'stroke': brf_3_color, 'label': ''}) } const plt = Plot.plot({ style: "display: inline-block", x: { label: "Hourly Wage", line: true, domain: [0, 50], ticks: 50, }, y: { label: "Effort per Hour", line: true, domain: [0, 1] }, grid: true, width: 1200, height: 700, marks: [ Plot.line(data, {x: 'w', y: 'e', z: 'line', stroke: 'stroke'}), Plot.text(labels, {x: 'w', y: 'e', text: 'label', fill: 'stroke'}), Plot.crosshair(data, {x: 'w', y: 'e', color: 'stroke'}) ] }) return plt }33:[] 30:{"id":"a01d06c0bfafdbbe","slug":"labour-discipline-model-brfs-and-isocosts","title":"Labour Discipline Model: Best Response Functions and Isocosts","thumbnail":"d32c75482c7d9360e07c2bc763c226e4b5d89c3534bb781539bd632aff9b01fc","access_level":"public","create_time":"$D2023-11-14T13:30:24.182Z","update_time":"$D2024-01-12T18:57:58.131Z","view_time":null,"first_public_time":"$D2023-11-14T13:30:24.182Z","has_unpublished_edits":null,"fork":false,"stars":0,"starred":false,"owner":{"type":"team","id":"4b29738293f35bb8","login":"alexralphs","name":"Ralphs, 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Discipline Model: Best Response Functions and Isocosts","pinned":false,"hidden":false,"mode":"md","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"},{"id":420,"value":"md`BRF Function is in form: ${tex`e=\\alpha \\ln(wage)`}`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":50,"value":"controls = {\n return html`

${viewof brf_1_on}${viewof res_wage_1}${viewof effort_mod_1}${viewof brf_1_color}${viewof isocost_1_on}${viewof cost_1}

${viewof brf_2_on}${viewof res_wage_2}${viewof effort_mod_2}${viewof brf_2_color}${viewof isocost_2_on}${viewof cost_2}

${viewof brf_3_on}${viewof res_wage_3}${viewof effort_mod_3}${viewof brf_3_color}${viewof isocost_3_on}${viewof cost_3}

`\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":19,"value":"plotcurves()","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":5,"value":"$32","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":136,"value":"viewof brf_1_on = Inputs.toggle({label: \"BRF 1\", value: false})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":148,"value":"viewof brf_2_on = Inputs.toggle({label: \"BRF 2\", value: false})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":149,"value":"viewof brf_3_on = Inputs.toggle({label: \"BRF 3\", value: false})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":76,"value":"viewof res_wage_1 = Inputs.range([0, 20], {step: 0.1, value: 5, label: \"Reservation Wage 1\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":85,"value":"viewof res_wage_2 = Inputs.range([0, 20], {step: 0.1, value: 10, label: \"Reservation Wage 2\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":86,"value":"viewof res_wage_3 = Inputs.range([0, 20], {step: 0.1, value: 5, label: \"Reservation Wage 3\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":7,"value":"viewof effort_mod_1 = Inputs.range([1, 2], {step: 0.1, value: 1, label: \"Effort Scalar 1\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":270,"value":"viewof brf_1_color = Inputs.color({label: 'BRF 1 Colour', value: '#0000ff'})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":55,"value":"viewof effort_mod_2 = Inputs.range([1, 2], {step: 0.1, value: 1, label: \"Effort Scalar 2\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":279,"value":"viewof brf_2_color = Inputs.color({label: 'BRF 2 Colour', value: '#00ff00'})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":56,"value":"viewof effort_mod_3 = Inputs.range([1, 2], {step: 0.1, value: 1.5, label: \"Effort Scalar 3\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":283,"value":"viewof brf_3_color = Inputs.color({label: 'BRF 3 Colour', value: '#ff0000'})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":155,"value":"viewof isocost_1_on = Inputs.toggle({label: 'Isocost 1 on', value: false})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":159,"value":"viewof isocost_2_on = Inputs.toggle({label: 'Isocost 2 on', value: false})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":160,"value":"viewof isocost_3_on = Inputs.toggle({label: 'Isocost 3 on', value: false})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":173,"value":"viewof cost_1 = Inputs.range([0, 100], {step: 0.1, value: 25, label: \"Cost 1\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":187,"value":"viewof cost_2 = Inputs.range([0, 100], {step: 0.1, value: 25, label: \"Cost 2\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":188,"value":"viewof cost_3 = Inputs.range([0, 100], {step: 0.1, value: 25, label: \"Cost 3\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":48,"value":"","pinned":false,"hidden":false,"mode":"html","author":"$undefined","summary":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"","database":"$undefined"}],"files":"$W33","stdlib":"1"}} 31:"$30:body"