teoria de jocs: joc cuatre-alfil

[01,01][02,01][03,01][04,01]
[01,02][02,02][03,02][04,02]
[01,03][02,03][03,03][04,03]
[01,04][02,04][03,04][04,04]


[02,02] = alfil_{a}
[02,03] = alfil_{a}


[03,02] = alfil_{b}
[03,03] = alfil_{b}


[01,04] = rey_{a}
[04,04] = rey_{b}


[01,01] = reina_{a}
[04,01] = reina_{b}


algoritme-dual de joc:
{
reina_{a}[01,01] ==> reina_{b}[04,01]
alfil_{b}[03,02] ==> reina_{a}[04,01]
alfil_{a}[02,02] ==> alfil_{a}[01,01]
alfil_{b}[03,03] ==> alfil_{a}[01,01]
alfil_{a}[02,03] ==> alfil_{b}[04,01]
}
{
reina_{b}[04,01] ==> reina_{a}[01,01]
alfil_{a}[02,02] ==> reina_{b}[01,01]
alfil_{b}[03,02] ==> alfil_{b}[04,01]
alfil_{a}[02,03] ==> alfil_{b}[04,01]
alfil_{b}[03,03] ==> alfil_{a}[01,01]
}


algoritme-dual:
{
rey_{b}[04,04] ==> rey_{b}[03,03]
alfil_{a}[04,01] ==> alfil_{a}[03,02]
rey_{b}[03,03] ==> alfil_{a}[03,02]
rey_{a}[01,04] ==> rey_{a}[02,04]
alfil_{b}[02,02] ==> alfil_{b}[03,03]
rey_{a}[02,04] ==> rey_{a}[01,04]
rey_{b}[03,02] ==> rey_{b}[02,02]
escak-mat_{a}
}
{
rey_{a}[01,04] ==> rey_{a}[02,03]
alfil_{b}[01,01] ==> alfil_{b}[02,02]
rey_{a}[02,03] ==> alfil_{b}[02,02]
rey_{b}[04,04] ==> rey_{a}[03,04]
alfil_{a}[03,02] ==> alfil_{a}[02,03]
rey_{b}[03,04] ==> rey_{b}[04,04]
rey_{a}[02,03] ==> rey_{a}[03,02]
escak-mat_{b}
}


algoritme-dual:
{
rey_{b}[04,04] ==> rey_{b}[04,03]
rey_{a}[01,04] ==> rey_{a}[02,03]
alfil_{b}[01,01] ==> alfil_{b}[02,02]
rey_{a}[02,03] ==> alfil_{b}[02,02]
rey_{b}[04,03] ==> rey_{b}[04,02]
alfil_{a}[04,01] ==> alfil_{a}[03,02]
escak-mat_{b}
}
{
rey_{a}[01,04] ==> rey_{a}[01,03]
rey_{b}[04,04] ==> rey_{b}[03,03]
alfil_{a}[04,01] ==> alfil_{a}[03,02]
rey_{b}[03,03] ==> alfil_{a}[03,02]
rey_{a}[01,03] ==> rey_{a}[01,02]
alfil_{b}[01,01] ==> alfil_{b}[02,02]
escak-mat_{a}
}