{"query": "Evolutionary games — fitness is the payoff", "count": 20, "results": [{"id": "card_game_evolutionary", "title": "Evolutionary games — fitness is the payoff", "shelf": "codex", "surface": "secular", "snippet": "Replace rational choice with reproduction and the same math governs biology: an evolutionarily stable strategy is a Nash equilibrium no mutant can invade (hawk-dove, the evolution of cooperation). Res", "authority_tier": "engine_derived", "source": "Narrow Highway — game theory", "readable": false, "generated": false}, {"id": "card_theory_br_nsted_lowry_acid_base_theory_ph", "title": "Brønsted–Lowry acid–base theory & pH", "shelf": "theories", "surface": "secular", "snippet": "Brønsted–Lowry acid–base theory & pH — an engine domain that can touch it: chemistry. Calibration: seals — pH, pKa and buffer calculations compute exactly. An acid DONATES a proton, a base ACCEPTS one", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_measure_theory__lebesgue_integration", "title": "Measure theory (Lebesgue integration)", "shelf": "theories", "surface": "secular", "snippet": "Measure theory (Lebesgue integration) — an engine domain that can touch it: mathematics. Calibration: map-only — a foundation, not a computation. What it means for a set to have a SIZE, done carefully", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_master_replicator", "title": "Master equation: dx_i/dt = x_i (f_i - <f>)", "shelf": "bridges", "surface": "secular", "snippet": "a type grows exactly when it beats the average — natural selection and game dynamics are one equation. ONE equation, 2 domains, connected by a change of variable: biology [f = Darwinian fitness; the m", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_floor_game_theory", "title": "Game theory — equilibrium, dilemmas, and strategy", "shelf": "codex", "surface": "secular", "snippet": "The mathematics of strategic choice. A Nash equilibrium is a fixed point where no one gains by deviating alone; the prisoner's dilemma shows rational players reaching a worse outcome than cooperation;", "authority_tier": "engine_derived", "source": "Narrow Highway — game theory", "readable": false, "generated": false}, {"id": "card_calc_replicator_payoff", "title": "Replicator dynamics (game)", "shelf": "calculations", "surface": "secular", "snippet": "Replicator dynamics (game) — game_theory. Formula: dx/dt = x (payoff - avg). Canonical FORM: logistic (dP/dt = rP(1 - P/K)) — a strategy spreads when its payoff beats the average — the same equation, ", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_seal_7ad6c053203c3fb37f584e7e15e45537802dd8a5eb2f7eea3afba5195a6aab85", "title": "Receipt 7ad6c053203c… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": \"claim_false_is_not_true\",\n    \"confirmed_steps\": 0,\n    \"error_at\": \"negative_probability\",\n    \"gap_at\": null,\n    \"steps\": ", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_src_pron_payoffs", "title": "payoffs", "shelf": "pronunciation", "surface": "secular", "snippet": "payoffs: pronounced (ARPABET) P EY1 AO2 F S. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_pron_payoff", "title": "payoff", "shelf": "pronunciation", "surface": "secular", "snippet": "payoff: pronounced (ARPABET) P EY1 AO2 F. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_seal_208a3f6f154df0989802bbbadb1d769224c6087a7b57edd4014747bfe45aa75b", "title": "Receipt 208a3f6f154d… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": \"payoffs_T_gt_R_gt_P_gt_S\",\n    \"confirmed", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_seal_fa165188a146194e021d61ea96cec7a0aecd7bba0935623c383fee5dfee934df", "title": "Receipt fa165188a146… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n    \"error", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "readable": false, "generated": false}, {"id": "card_src_word_payoff", "title": "payoff", "shelf": "dictionary", "surface": "secular", "snippet": "payoff: (noun) the final payment of a debt — syn: final payment · (noun) payment made to a person in a position of trust to corrupt his judgment — syn: bribe · (noun) the income or profit arising from", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_src_etym_bribe", "title": "bribe", "shelf": "etymology", "surface": "secular", "snippet": "bribe: etymology (Webster 1913) — n.: [F. bribe a lump of bread, scraps, leavings of meals (that are generally given to a beggar), LL. briba scrap of bread; cf. OF. briber, brifer, to eat gluttonously", "authority_tier": "reference", "source": "Webster's Revised Unabridged Dictionary (1913), Project Gutenberg eBook #29765 — public domain", "readable": true, "generated": false}, {"id": "card_enc_easton_bribe", "title": "Bribe", "shelf": "encyclopedia", "surface": "witness", "snippet": "None to be taken; “for the gift maketh open eyes blind, and perverteth the cause of the righteous” (Ex. 23:8, literally rendered).\n\nFull entry: Easton's Bible Dictionary (1897, public domain) — /chara", "authority_tier": "reference", "source": "Easton's Bible Dictionary (1897, public domain)", "readable": false, "generated": false}, {"id": "card_src_word_bribe", "title": "bribe", "shelf": "dictionary", "surface": "secular", "snippet": "bribe: (noun) payment made to a person in a position of trust to corrupt his judgment — syn: payoff · (verb) make illegal payments to in exchange for favors or influence — syn: corrupt, buy, grease on", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_n_6142314edb98", "title": "Psalm 15 — Psalm 15", "shelf": "codex", "surface": "witness", "snippet": "<<A Psalm by David.>> Yahweh, who shall dwell in your sanctuary? Who shall live on your holy hill? He who walks blamelessly does what is right, and speaks truth in his heart; He who doesn't slander wi", "authority_tier": "scripture", "source": "Psalm 15", "readable": false, "generated": false}, {"id": "card_src_word_briber", "title": "briber", "shelf": "dictionary", "surface": "secular", "snippet": "1. A thief. [Obs.] Lydgate. 2. One who bribes, or pays for corrupt practices. 3. That which bribes; a bribe. His service . . . were a sufficient briber for his life. Shak.", "authority_tier": "reference", "source": "webster-1913", "readable": false, "generated": false}, {"id": "card_src_pron_bribes", "title": "bribes", "shelf": "pronunciation", "surface": "secular", "snippet": "bribes: pronounced (ARPABET) B R AY1 B Z. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_pron_bribe", "title": "bribe", "shelf": "pronunciation", "surface": "secular", "snippet": "bribe: pronounced (ARPABET) B R AY1 B. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_isbe_bribery", "title": "ISBE: Bribery", "shelf": "encyclopedia", "surface": "witness", "snippet": "brib'-er-i (shochadh, \"a gift,\" in a corrupt sense, \"a bribe\"): The Hebrew law condemns everything that would tend to impair the impartial administration of justice, particularly the giving and receiv", "authority_tier": "reference", "source": "International Standard Bible Encyclopedia (1915), ed. James Orr — Public Domain (CrossWire SWORD module ISBE v2.2)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_game_evolutionary"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}