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MITRO206 (théories des jeux)
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notes-mitro206.tex
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Add more to index.
David A. Madore
2016-03-22
1
-2
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+2
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Add index.
upload-20160322
David A. Madore
2016-03-22
1
-113
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+125
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More about the Cantor normal form and binary form of ordinals.
David A. Madore
2016-03-22
1
-2
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+97
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Hyperref + table of contents.
David A. Madore
2016-03-21
1
-0
/
+5
*
More details on Grundy function and Grundy kernel.
upload-20160321
David A. Madore
2016-03-21
1
-37
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+86
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Fix missing clause in definition of Borel sets.
David A. Madore
2016-03-20
1
-1
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+1
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Product and exponentiation of ordinals.
upload-20160314
David A. Madore
2016-03-14
1
-2
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+194
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Briefly describe the nimber and (surreal) number associated to \alpha.
David A. Madore
2016-03-14
1
-3
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+49
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Acknowledge the Burali-Forti "paradox".
David A. Madore
2016-03-14
1
-0
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+12
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Sum of ordinals.
David A. Madore
2016-03-14
1
-0
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+57
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Successor and limit ordinals.
David A. Madore
2016-03-14
1
-8
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+78
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Split section on well-founded sets. Upper bounds of ordinals.
David A. Madore
2016-03-14
1
-3
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+37
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Definition of ordinals.
David A. Madore
2016-03-14
1
-8
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+90
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More about well-founded and non-well-founded inductions.
David A. Madore
2016-03-14
1
-20
/
+113
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Fix lots of typos (thanks, "Pjetri").
David A. Madore
2016-03-12
1
-18
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+18
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Well-ordered sets.
David A. Madore
2016-03-10
1
-9
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+213
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Genies granting ordinal-counted wishes.
David A. Madore
2016-03-10
1
-0
/
+39
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Another point to note about constructing ordinals.
David A. Madore
2016-03-09
1
-0
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+7
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Intuitive presentation of ordinals.
David A. Madore
2016-03-09
1
-2
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+95
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Well-founded induction, von Neumann ordinals.
David A. Madore
2016-03-09
1
-1
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+52
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Mention the terminology "well-ordered".
David A. Madore
2016-03-09
1
-2
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+16
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More on the intuitive explanation of ordinals: decreasing sequences terminate.
David A. Madore
2016-03-09
1
-1
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+35
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Start writing an intuitive introduction to ordinals.
David A. Madore
2016-03-09
1
-0
/
+134
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Determinacy of combinatorial games for positional strategies (fairly tedious).
upload-20160308
David A. Madore
2016-03-08
1
-194
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+387
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Various clarifications in wording in the combinatorial-to-Gale-Stewart argument.
David A. Madore
2016-03-08
1
-36
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+48
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Mention Borel determinacy and beyond.
David A. Madore
2016-03-07
1
-1
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+48
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Trivial comment.
upload-20160307
David A. Madore
2016-03-07
1
-1
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+1
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Slight reformulation.
David A. Madore
2016-03-07
1
-11
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+11
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Alternative terminology: "progressively finite" for well-founded.
David A. Madore
2016-03-07
1
-4
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+5
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The halting game (Turing against Blanche).
David A. Madore
2016-03-07
1
-0
/
+48
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Add disclaimer about provisional status of these notes.
upload-20160305
David A. Madore
2016-03-05
1
-0
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+9
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Minor changes noted during lecture.
David A. Madore
2016-02-29
1
-13
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+24
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Link zero-sum games and linear programming.
David A. Madore
2016-02-28
1
-1
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+96
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Another self-note.
David A. Madore
2016-02-26
1
-0
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+7
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Self-note.
David A. Madore
2016-02-25
1
-0
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+3
*
Remove now redundant pieces.
David A. Madore
2016-02-25
1
-65
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+0
*
Determinacy of perfect information games from Gale-Stewart games.
David A. Madore
2016-02-25
1
-3
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+152
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Second proof of open determinacy.
David A. Madore
2016-02-25
1
-6
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+93
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Clarify how we can exchange the players' roles.
David A. Madore
2016-02-25
1
-96
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+148
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Product topology and open determinacy.
David A. Madore
2016-02-25
1
-27
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+201
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Prove the essentially trivial proposition about strategies (exists/forall).
David A. Madore
2016-02-25
1
-1
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+58
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An essentially trivial statement.
David A. Madore
2016-02-24
1
-6
/
+44
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Start a new section on Gale-Stewart games.
David A. Madore
2016-02-24
1
-5
/
+70
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Positional versus historical strategies. Prepare for induction.
David A. Madore
2016-02-22
1
-33
/
+150
*
More clarifications on impartial p.i. games (and player naming).
David A. Madore
2016-02-22
1
-31
/
+79
*
Rework and describe outline.
David A. Madore
2016-02-22
1
-36
/
+72
*
Isolate Brouwer's fixed point theorem.
David A. Madore
2016-02-22
1
-9
/
+14
*
More coin-turning (a bidimensional game).
David A. Madore
2016-02-22
1
-1
/
+14
*
Various clarifications and additions (notably, coin-turning games).
David A. Madore
2016-02-22
1
-8
/
+115
*
Illustration for Hercules-versus-Hydra game.
David A. Madore
2016-02-16
1
-1
/
+62
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