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The minimax result is presented for two-person zero-sum games. Expected utility axioms are stated in the sections on utility theory.","status":"active","vx_hash":"a6b8ecac9c12718a98349bb9fb37cf189094adf2ccd207e65a70554ac2171070","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"e1b71da6e5e4f0e96de94269f8ff9dfbcecb0fe5650dd07ef8a1200b2293e932","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"1d5c1ce085b62f89464f0cb2b7350f986d6af4b355ce032c49879552dc74e717","detail":{"divided_from":"body","block":7,"kind":"p"},"prev":"genesis","hash":"e1b71da6e5e4f0e96de94269f8ff9dfbcecb0fe5650dd07ef8a1200b2293e932"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d7"},{"id":"d8","kind":"p","type":null,"order":8,"text":"No page-specific verbatim passages are cited here because direct verification from an open digital edition is not available in the checked sources. The book itself serves as the reference.","status":"active","vx_hash":"62b54b68d73b3a0be8e661d1e8050e7225cdeee73eefdff2624ece7d9e507345","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"a5ee9d4717b0910891312aa2f7d855b0d63ad383bb077e4144f75f68615b386f","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"672d756bed7f2ba49bc2fb49a7885c3eafa5361bdaa20c58f0363db554e7707f","detail":{"divided_from":"body","block":8,"kind":"p"},"prev":"genesis","hash":"a5ee9d4717b0910891312aa2f7d855b0d63ad383bb077e4144f75f68615b386f"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d8"},{"id":"d9","kind":"h","type":null,"order":9,"text":"## Convergence patterns touched","status":"active","vx_hash":"a47000edbabfb29c8bed6e6a625be267dd588f37effc83b6aa948002900ece2e","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"8a52c39caba9f8501ca279ba336d0de96f518d94ccdbec779fb8fae0cb6522c4","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"bf39d3a2f856f5bc17fb18e05415848b80831879f908e0cfa9e92d7220d64063","detail":{"divided_from":"body","block":9,"kind":"h"},"prev":"genesis","hash":"8a52c39caba9f8501ca279ba336d0de96f518d94ccdbec779fb8fae0cb6522c4"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d9"},{"id":"d10","kind":"p","type":null,"order":10,"text":"The work touches symmetry in payoff structures. It models flow networks through repeated interactions and strategy choices. Bounded patterns appear in equilibrium outcomes that constrain possible results.","status":"active","vx_hash":"63dcfd3a9907245ad0863d37148e511309f5b215423d6fa922c761d681689ed9","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"c5ccb5b2cf5c395af00a19fa33b3cb39235ddd9d21e23c5bd17421a40c5fb410","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"5b544a67cdc9a49a3688a394a0bb4640f310e18d2542ebd8cb42107d43321cdf","detail":{"divided_from":"body","block":10,"kind":"p"},"prev":"genesis","hash":"c5ccb5b2cf5c395af00a19fa33b3cb39235ddd9d21e23c5bd17421a40c5fb410"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d10"},{"id":"d11","kind":"p","type":null,"order":11,"text":"It evidences memory through repeated play and learning of opponent strategies. Scale invariance shows in the abstraction from specific payoffs to general utility functions.","status":"active","vx_hash":"aea319ab647b428731586ffaa5bc6def4d0bff70e4882f0cbc9db3514bee8c24","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"da5592b776d3cbebddf81320a0bdbd37acbd26e941782c76a9eaa6f022b173c8","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"e6d20c18919ca3c140801e012e828d2a7730d48fbe6d2c2de4ac73d5103a766e","detail":{"divided_from":"body","block":11,"kind":"p"},"prev":"genesis","hash":"da5592b776d3cbebddf81320a0bdbd37acbd26e941782c76a9eaa6f022b173c8"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d11"},{"id":"d12","kind":"p","type":null,"order":12,"text":"These patterns align with structural regularities in strategic domains.","status":"active","vx_hash":"85cd138222422709b379de16b0f4bce671bd9ee44d49254c21a5d9cec84ae848","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"f2b70e50efb0556fe9ecd2b1d8748ca58feb4e2f3873ce87ecb999d2194a35e7","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"9da3690987759342c53c54476916c7768881aecc48f8d02e2de7e5349cc2c4fd","detail":{"divided_from":"body","block":12,"kind":"p"},"prev":"genesis","hash":"f2b70e50efb0556fe9ecd2b1d8748ca58feb4e2f3873ce87ecb999d2194a35e7"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d12"},{"id":"d13","kind":"h","type":null,"order":13,"text":"## Which patterns support or attack the OIP/GRAIN synthesis","status":"active","vx_hash":"5d5ed4fc5698d8c0b1f720f0ebefc0f2c01a6d69afff43803edefffd3839d446","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"e9a8542e0c55922f8f04af7d972a2f30d54d3b6890e892b83de43ce1378bff9e","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"22c056693108f8365fa97b412c27563afb6d31e072af89abc844d96b38b06451","detail":{"divided_from":"body","block":13,"kind":"h"},"prev":"genesis","hash":"e9a8542e0c55922f8f04af7d972a2f30d54d3b6890e892b83de43ce1378bff9e"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d13"},{"id":"d14","kind":"p","type":null,"order":14,"text":"The framework supports the synthesis by formalizing bounded rational interactions. Strategic choices produce stable structures under defined rules. This matches patterns of symmetry and flow networks in decision systems.","status":"active","vx_hash":"5b1cca8467cf2c32658ea6f1f0738b1877ff0fbde0871a370dc8cd0a07e39b97","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"794334c8772946909f2616a515eabe8a40227acc1f4cd4b0fbca19741e4632d9","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"1d1ae256dbb6f36f9a0d1b5dc8de1adf81b4704341de762d06116ac7faa0b78b","detail":{"divided_from":"body","block":14,"kind":"p"},"prev":"genesis","hash":"794334c8772946909f2616a515eabe8a40227acc1f4cd4b0fbca19741e4632d9"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d14"},{"id":"d15","kind":"p","type":null,"order":15,"text":"It provides a mechanistic layer for cooperation models. Repeated games and equilibria can extend to evolutionary stable strategies.","status":"active","vx_hash":"f541f6f1bb88840263973def4bc74abcfde9ba689b639ca36d6bea074924dc8a","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"cd46ab875b92ebb27b8838e96561d0ef99aeffd59dd9ca25b076f8c53dc3a38a","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"92caae93be1a538375be21fe683a7147f83b3478ca74876d43447dd02772decd","detail":{"divided_from":"body","block":15,"kind":"p"},"prev":"genesis","hash":"cd46ab875b92ebb27b8838e96561d0ef99aeffd59dd9ca25b076f8c53dc3a38a"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d15"},{"id":"d16","kind":"p","type":null,"order":16,"text":"It attacks full synthesis claims by limiting scope to rational agents with complete information preferences. The model stays at the level of structured interactions and does not address emergence of life or mind.","status":"active","vx_hash":"bf4fd3f87f530427c24ae815a50a85f686ab0067093b900e5942cc3d0e27b73c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"17c3b0f1b204e1344c627805c04ce7c2446513bf2f046212fb0f0f758b47c347","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"4faf6919c20ebf256b5c168c3b5bf8e2eb4c56a133529732a0e2e128ce9f95ed","detail":{"divided_from":"body","block":16,"kind":"p"},"prev":"genesis","hash":"17c3b0f1b204e1344c627805c04ce7c2446513bf2f046212fb0f0f758b47c347"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d16"},{"id":"d17","kind":"p","type":null,"order":17,"text":"See /a/oip-the-ladder for the progression from structure to memory to life.","status":"active","vx_hash":"4d86806bb3543d419430701f9cb11b22046e19943db3fbd503b3fe1605f126ab","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"7496a1624ea3bdcf5f2f7d6b6671e200a80cfe232339badaed5efa8de5b0d113","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"e9c839a24839376bfb4b30d90ea825819111e5aff5c3771f36486d6626f1bbd7","detail":{"divided_from":"body","block":17,"kind":"p"},"prev":"genesis","hash":"7496a1624ea3bdcf5f2f7d6b6671e200a80cfe232339badaed5efa8de5b0d113"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d17"},{"id":"d18","kind":"h","type":null,"order":18,"text":"## Distance from the full synthesis","status":"active","vx_hash":"f925e2fc08c4e536bbb9fcc3c775379d1c25195995dc6fdb0419de96174e2b89","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"7d6582a64dc13b9e87bedc83a5397ad70b8c10545311fb3eea160b0ed814e795","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"c829b0f616d103e06e123da37eb0b9d9925dad0ecf66147a93f23095da71a1eb","detail":{"divided_from":"body","block":18,"kind":"h"},"prev":"genesis","hash":"7d6582a64dc13b9e87bedc83a5397ad70b8c10545311fb3eea160b0ed814e795"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d18"},{"id":"d19","kind":"p","type":null,"order":19,"text":"The distance is substantial. The synthesis includes the Ladder from difference through flow, structure, memory, life, and mind. The book supplies formal tools for the structure and memory stages in social and economic domains. It stops short of biological or cognitive emergence.","status":"active","vx_hash":"46e4f6e6e90f0d822e24f3815ad244b1c4e689b98937afb448a5420a6aa700ee","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"4dae1b9403fb48f03e4ababb8590a9b8b556d6a6e1847cfe46463fa900822290","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"e9c9f21185e8fb9e8fdf356f5d95383e541208f2002c8d0fac023aefceb6e71e","detail":{"divided_from":"body","block":19,"kind":"p"},"prev":"genesis","hash":"4dae1b9403fb48f03e4ababb8590a9b8b556d6a6e1847cfe46463fa900822290"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d19"},{"id":"d20","kind":"p","type":null,"order":20,"text":"The Mirror Layer places the observer inside the system. Game theory models agents as external calculators. It does not incorporate self-reference or the reader inside the modeled system.","status":"active","vx_hash":"498d37e7fab21a38270958dd1c42f7fc29c76a560d4dd4221d84cd5543e25211","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"281ed44b61b67b1b96b2ba38f375ed4deaefa4c13d54fae830e612350f877b40","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"fcadcf23649196b61c81b537ea3566a12ba98301bc8c2a429ed955b15074778b","detail":{"divided_from":"body","block":20,"kind":"p"},"prev":"genesis","hash":"281ed44b61b67b1b96b2ba38f375ed4deaefa4c13d54fae830e612350f877b40"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d20"},{"id":"d21","kind":"h","type":null,"order":21,"text":"## Honest limits and disconfirming edges","status":"active","vx_hash":"7e9cdb077106cb17f27ccc2bf8f9c8b76ce2531d1c24c4ff79e85d6368849826","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"ffc4ff8f1955726a5875a27791f4435616199661e39173a6b141ef00443e1cd5","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"a4ff4542a1095d01f9181ea0192500270e1b6d9e89daf971127e5a818cfedd26","detail":{"divided_from":"body","block":21,"kind":"h"},"prev":"genesis","hash":"ffc4ff8f1955726a5875a27791f4435616199661e39173a6b141ef00443e1cd5"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d21"},{"id":"d22","kind":"p","type":null,"order":22,"text":"The axioms assume perfect rationality and consistent preferences. Human behavior often violates independence and transitivity. Allais paradox and Ellsberg paradox provide counterexamples.","status":"active","vx_hash":"489342bf0beecb888ddbf648a3f39f962ed0276a43b6c20d575554815eb6570c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"5dcb616f6145df4faed82eaad39dbcb08d5d1bc2951cc96a6dcb4fe97f19ad70","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"3a92f523b772676391e1b44428011727752ce52af4e5f514dd18111a24a92ee7","detail":{"divided_from":"body","block":22,"kind":"p"},"prev":"genesis","hash":"5dcb616f6145df4faed82eaad39dbcb08d5d1bc2951cc96a6dcb4fe97f19ad70"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d22"},{"id":"d23","kind":"p","type":null,"order":23,"text":"The initial focus is two-person zero-sum games. Non-zero-sum and multi-player extensions require additional concepts such as Nash equilibrium, developed later.","status":"active","vx_hash":"af09ef6e9a325bfad4b463289cc0113d06739fad61be8538eddb69b17cb69cc1","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"ba2d7b268b1fcd3319597b763c98c28cc54d44e2855ebe6f6e391b6f04f75499","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:40.882Z","actor":"owner","text_sha":"1aa3434f0d2b7bc851fbfe6a4332e063ece80f8173ede7568b5a16e99cccae6b","detail":{"divided_from":"body","block":23,"kind":"p"},"prev":"genesis","hash":"ba2d7b268b1fcd3319597b763c98c28cc54d44e2855ebe6f6e391b6f04f75499"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:40.882Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-von-neumann-j-1944-theory-of-games-and-economic-behavior-with-o-morgenstern/d23"},{"id":"d24","kind":"p","type":null,"order":24,"text":"The model treats information as complete or probabilistic. 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