{"id": "card_floor_game_theory", "kind": "note", "title": "Game theory — equilibrium, dilemmas, and strategy", "body": "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; zero-sum games have a minimax value reached by mixed strategies. Four pillars rest on the solve path (equilibrium is a fixed point), economics (payoffs are incentives), the mind (players reason), and biology (evolutionary games). The stick (stick_game_theory_equilibrium_dilemmas_and_strategy) seals the fair zero-sum value and the dilemma's cooperation gap (tools/seed_game_theory.py).", "source": {"label": "Narrow Highway — game theory", "url": "", "authority_tier": "engine_derived", "ref": "stick_game_theory_equilibrium_dilemmas_and_strategy"}, "shelf": "codex", "box": "game_theory", "bands": ["floor", "game theory", "nash", "strategy", "equilibrium", "one map"], "subject": "Game theory — equilibrium, dilemmas, and strategy", "connections": [{"to_card_id": "card_game_nash", "relationship": "has_part", "evidence": "a pillar of game theory (Nash equilibrium)"}, {"to_card_id": "card_game_prisoners_dilemma", "relationship": "has_part", "evidence": "a pillar of game theory (The prisoner's dilemma)"}, {"to_card_id": "card_game_zero_sum", "relationship": "has_part", "evidence": "a pillar of game theory (Zero-sum and minimax)"}, {"to_card_id": "card_game_evolutionary", "relationship": "has_part", "evidence": "a pillar of game theory (Evolutionary games)"}, {"to_card_id": "card_k_floor_of_discovery", "relationship": "part_of", "evidence": "strategic choice on the one map"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.game.theory", "facets": {"subject": ["equilibrium", "floor", "game theory", "nash", "one map", "strategy"]}, "presentation": {"glyph": "•", "kind_label": "game theory", "by": "Narrow Highway — game theory", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_game_nash", "title": "Nash equilibrium — a fixed point", "relationship": "has part", "why": "a pillar of game theory (Nash equilibrium)", "href": "/card/card_game_nash", "resolved": true}, {"id": "card_game_prisoners_dilemma", "title": "The prisoner's dilemma — the price of rationality", "relationship": "has part", "why": "a pillar of game theory (The prisoner's dilemma)", "href": "/card/card_game_prisoners_dilemma", "resolved": true}, {"id": "card_game_zero_sum", "title": "Zero-sum and minimax — the mixed value", "relationship": "has part", "why": "a pillar of game theory (Zero-sum and minimax)", "href": "/card/card_game_zero_sum", "resolved": true}, {"id": "card_game_evolutionary", "title": "Evolutionary games — fitness is the payoff", "relationship": "has part", "why": "a pillar of game theory (Evolutionary games)", "href": "/card/card_game_evolutionary", "resolved": true}, {"id": "card_k_floor_of_discovery", "title": "The Floor of Discovery — one floor, and by its design the fear of God", "relationship": "part of", "why": "strategic choice on the one map", "href": "/card/card_k_floor_of_discovery", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_floor_game_theory", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_floor_game_theory"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}