Zero Sum Games & Game Theory

Nash’s 1951 paper “Non-Cooperative Games” generalized the earlier von Neumann-Morgenstern framework (which was built around zero-sum and cooperative games) to non-cooperative games—situations where players cannot make enforceable agreements. It applies to both zero-sum and non-zero-sum games and introduced the Nash equilibrium as the central solution concept. His contribution is broader in scope.

Grok AI and I started with a simple question about betrayal and ended up dissecting the Prisoner's Dilemma (PD) and game theory's claimed real-world utility. What began as etymology of "betray" (Latin tradere, "hand over") quickly revealed the PD's core: two isolated prisoners, pre-agreed silence on a joint crime, cooperate (silent) or defect (confess). Mutual cooperation yields light sentences; unilateral betrayal yields freedom for the betrayer and heavy for the other; mutual betrayal yields medium sentences. Rational self-interest makes defection dominant.

We tested supposed real-world applications for PD-like simplicity or logical consistency:

• Battle of the Bismarck Sea (1943): Kenney used a payoff matrix to guess Japanese convoy routes. Retrospective minimax analysis but predates von Neumann-Morgenstern (1944). Real event had incomplete information, weather, and command friction the tree ignores.
• Cuban Missile Crisis (1962): Schelling's brinkmanship (threats leaving something to chance) is often cited. But ExComm deliberations relied on back-channel RFK-Dobrynin diplomacy and secret Turkey missile deal. Post-rationalized game theory; actual resolution was pragmatic negotiation, not PD tree logic.
• Vickrey/second-price auctions (theory and FCC spectrum auctions 1994+): Rules make truthful bidding dominant. Multiple rounds, unknown valuations, bidder collusion risks, and regulatory complexity make it far messier than PD's fixed one-shot payoffs.
• Plea bargaining with co-defendants: Pre-agreed conspiracy silence meets prosecutorial deals. Real consequences (retaliation, reputation, violence) and repeated interactions destroy the PD's isolation. Authorities' efficacy claims are post-hoc; actual outcomes vary wildly by jurisdiction and enforcement.

Every example collapses under interrogation. PD assumes a truncated, prearranged non-agreement (silence pact) parading as cooperation is a logic that unveils itself as unstable. Real life adds reputation, future retaliation, incomplete information, emotions, and enforcement—factors the model excludes by design. No published use of game theory has delivered pre-hoc predictive power or historically accurate forecasts that weren't retrofitted after the fact. It works beautifully in abstract games and designed mechanisms with enforced rules. In real life—nuclear crises, criminal pacts, or betrayal—it's a post-rationalized lens, not a predictive tool. The voyage showed potential limits on the theory's limits: elegant for isolated decisions, but demonstrably inapplicable when the world refuses to stay on the decision tree.

Grok wrote this post with my guidance and interrogation shaping every line. It took a conversation of nearly 50,000 words to produce this approximately 700 words piece. The point I’m making is that the process demanded far more preparation than if I had written it myself. What feels genuinely revolutionary is that all that time was spent diving deeper and deeper into the subject, yielding more substantive writing that is far more rewarding for everyone involved — including sharpening my own thinking.

Let me briefly clear up the Neumann–Nash distinction. Von Neumann labelled his outcomes zero-sum because, at any poker table, the winner’s gains plus the loser’s losses must logically add up to zero. This isn’t intuitive — we normally talk about individual winnings, not combined net figures. A better description might be “winner/loser balance of zero.” Nash then took von Neumann’s zero-sum framework and broadened it to non-zero-sum games. He also developed the Prisoner’s Dilemma. Yet he still titled his paper “Non-Cooperative Games,” a name that doesn’t fully convey the nuance that even situations built on agreed expectations can remain fundamentally non-cooperative.

Anyway, the theory feels less shiny now, but I still need a clear summary of Nash’s equilibrium strategy as applied to gambling for the final stretch.

The Real Baron Podcast Theme Song

I call them the Young Americans but they're not really young, they're just younger than me. In any case they are the divinely ordained spiritual warriors that have stepped up and are stepping up in their nation's hour of need. Baron, Candace, Bilzerian and many more have transformed themselves, and it's inarguable they're doing the Lord's work.

Baroque Majesty: Bournemouth Symphony Orchestra and BSO Voices at The Guildhall Southampton

I went to the Baroque Majesty event last Saturday night at the O2 Guildhall in Southampton. It was billed as a joint performance by the full Bournemouth Symphony Orchestra and their community choir, BSO Voices. The programme mixed familiar baroque pieces with some less common ones. It was the best audio experience of my life.

The first thing that struck me was the choir. There were at least 120 singers on stage. BSO Voices is open to anyone—no auditions, no music-reading requirement—and the sheer number gave the choral sound a weight that smaller groups rarely achieve. It filled the hall without needing heavy amplification.

Pete Harrison conducted. He is the regular director of BSO Voices and came across as a warm, engaging character: authentic, funny, and clearly at home with the repertoire. He kept things moving without unnecessary drama.

The orchestra used roughly the numbers listed on the BSO roster, scaled back for baroque work. Strings came in at around 33 players (10 first violins, 8 second violins, 6 violas, 5 cellos, 4 basses). Woodwinds totalled about 6 (2 flutes/piccolo, 2 clarinets, 2 bassoons; oboes vacant). Brass numbered around 10 (4 horns, 2 trumpets, 4 trombones/tuba). There were 2 on percussion/timpani and 1 harpist, who also had a Roland keyboard set up. The balance stayed clear throughout.

What stood out most was the interplay between the sections. The choir and orchestra locked together cleanly on several numbers. My three strongest pieces were the opening Vivaldi *Gloria in excelsis Deo*, the Handel Sarabande, and the closing Messiah excerpts. The full Messiah runs about three and a half hours; they took selected movements including “For Unto Us a Child Is Born,” “All We Like Sheep,” and the Hallelujah Chorus. Those sections delivered the cleanest, most direct impact of the evening.

Well actually Zadok the Priest was a slow burn banger. Handel's *Zadok the Priest* (Coronation Anthem No. 1, HWV 258) opens with a famously long, quiet, and stately orchestral introduction—roughly 1–1.5 minutes of soft, repeating string patterns that build tension very gradually. This section is often marked *Andante maestoso* in editions (or left unmarked by Handel himself) and sits around 80–96 BPM in typical recordings. It can feel drawn-out or processional, which is probably why it landed in the “slower baroque items” category, but it certainly gains ground.

After that, the choir and trumpets enter with a sudden forte, followed by a dance-like middle section in 3/4 time and a final “God save the King” part full of chordal declarations plus fast semiquaver runs in the Amens. The whole piece usually runs 5–6 minutes and is described as majestic and ceremonial overall, not uniformly slow.

Actually, the God save the King, and Lord of Lords religious exhortations curled my lip a bit but there is something about religious singing from the 18th century fur Ein gutes Gefühl.

The extended suspenseful opening is the part that often strikes listeners as slower or less engaging compared to the punchier Vivaldi Gloria or Messiah excerpts.

Not every piece landed for me. Some of the slower baroque items (Bach Air on a G String, Pachelbel Canon, Handel Largo from Xerxes, Purcell Chaconne) sometimes felt drawn out and less engaging. Still, the night as a whole was exceptional. The hall acoustics were fine, the playing was tight, and the combined forces produced a big, professional and unforgettably coherent sound.

I got home well after the concert absolutely buzzing on good energy for hours afterwards. Inject more of that into my veins.