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Optimal Truco

This is solved heads-up truco paulista. For a selection of spots, it shows a way to play that can’t be exploited, worked out by a machine playing billions of hands.

Most of the text in this guide was written by an AI assistant and reviewed by the author. Every number, chart, and figure in it comes from the solver’s output.

Contents
Part I

The solve, and how to read it

What a solution is, how its charts are drawn, and how far they can be trusted.

  1. The rules we solvei
  2. What solving meansii
  3. Reading a chartiii
  4. Rangesiv
  5. The four viewsv
  6. Writing a spot downvi
  7. How far to trust itvii
Part II

The player's handbook

What the solutions teach: the hand of eleven, the opening lead, the truco from both sides, and the habits that cost the most.

  1. The hand of elevenviii
  2. Opening leadsix
  3. When to raise, when to let gox
  4. The habits that cost the mostxi
Appendices

Abstractions, numbers, and terms

  1. Lossless abstractionsA
  2. The solutions, by the numbersB
  3. GlossaryC