Monday, 14 April 2025

The games Donald plays

 

By now, anybody who is anybody – and plenty who aren’t – has had their say on the Trump tariffs and their possible implications. Much ink has been spilled documenting the twists and turns of the Trump Administration’s actions and the subsequent market movements. If there is one lesson to be learned from recent weeks, it is not to overreact to latest events because likely as not, there will be a rollback which renders the previous position invalid. That is not to say markets are wrong to sell off/rally as Trump’s whims dictate – after all, investors have to take a position based on available information because each signal from the White House alters the landscape of risks, costs and growth expectations. But it is no way to run an economy.

More than a game

One way to think of Trump’s strategy is through the prism of game theory, and there are some elements which echo the main findings of Thomas Schelling’s classic 1960 book, The Strategy of Conflict – a seminal work in game theory and strategic decision-making, particularly in the context of conflict, negotiation, and deterrence. One of the key takeaways of Schelling’s work is that conflicts are not merely power plays that pit one side against another, but are instead contests that highlight strategic interdependence – in other words, the actions of one player have an effect on the strategy of the opponent.

Schelling also highlighted the role of brinkmanship in which pushing one party further outside their comfort zone forces them to change their own strategy. This is very clearly the case in the context of the US-China trade row which threatens to inflict significant economic damage unless cooler heads soon prevail. China responded to the 145% levy on exports to the US with a tariff of 125% on US imports, highlighting the impact of brinkmanship. But the strategic interdependence element also came into play when the US exempted Chinese-made smartphones from higher import levies – the number one Chinese export to America by value – when the inflationary impact of smartphone tariffs became clear. It was a small de-escalation in a much bigger dispute but it highlights that there are some people in the US Administration who appear to understand the risks of escalation.

Another game theory concept highlights what can happen if actors in the dispute focus purely on the pursuit of their goals – Martin Shubik’s dollar auction problem which I originally used as a demonstration of the irrationality of Brexit negotiations. In brief, the dollar auction problem is a two-person thought experiment in which a dollar is initially auctioned off at a substantial discount to its face value. In subsequent rounds the price is bid up, with the highest bidder winning. But the twist is that the loser must also pay their bid. Consequently, both bidders have an incentive to continue bidding beyond the value of the prize in order to minimise losses, which results in a lose-lose outcome.

In the trade context, neither China nor the US wants to look weak in the eyes of the world leading to a cycle of escalating tariffs, even when both countries incur economic losses. The rational solution to this problem is to back down early or find a co-operative solution which minimises losses for both sides. Unless this approach is adopted, the key lesson highlighted by the dollar auction paradox is that once the bidding process becomes entrenched, the competing parties lose sight of their original goals and produces an outcome where the costs of winning outweigh the cost of defeat.

Credibility and how to lose it

One aspect of Schelling’s work that has not been adhered to is the principle of credibility. Schelling made the point that in strategic interactions, the ability to credibly commit to a course of action conveys a decisive advantage and that threats and promises must be credible to be effective. In the case of trade, however, Trump has not acted credibly. He has backtracked on his tariff policies on a number of occasions, leading many to wonder whether he is bluffing. While Trump sets great store by the art of the deal, the art of the bluff can take you a long way in life, love and poker. But bluffing only works if opponents believe the bluffer will follow through. While Trump has the power to impose tariffs, the question is whether doing so is politically or economically wise. According to a recent poll, 56% of respondents disapprove of his handling of the economy while 75% believe tariffs will push prices higher in the short-term. If Trump were attempting a further run for the White House, it would be politically dangerous to go further with the tariff policy. But because he is not bound by this constraint, further trade escalation cannot be ruled out, especially since 34% of poll respondents believe Trump's economic policies will pay off in the long run (admittedly down from 41% at end-March).

In game theoretic terms, a key weakness of Trump’s approach is that he takes a zero-sum approach to strategy – in other words, winner takes all and the loser gets nothing. This might work in the casino business – although Trump’s record as a casino owner is terrible, having twice filed for Chapter 11 bankruptcy – but it does not work in politics. One reason for this is that politics is not a one-shot game in which strategy is formulated without any concern for future consequences (as the dollar auction problem illustrates). Geopolitical decision making is a multi-shot game in which today’s actions have an impact on future decisions. For example, the US may ultimately need Europe onside if it is to successfully pursue its economic policy with regard to China. But by damaging relations with Europe today through its approach to both trade and security, it becomes less likely that Europe will side with the US in future.

We cannot continue in our game theory mode without talking about a Nash equilibrium – a situation where no player can improve their outcome by unilaterally changing their strategy, assuming the other players keep their strategies unchanged. Since high US tariffs hurt domestic consumers, the US might improve its welfare by lowering tariffs — even without immediate Chinese reciprocity. This suggests that the current position does not represent a stable Nash equilibrium. But since US tariffs also make China worse off, China has an incentive to reciprocate by reducing its own tariffs. Rolling this forwards, both sides engage in tariff reduction until the point at which we reach a stable welfare position. Such a strategy works because it builds trust gradually and is credible, even in the absence of explicit cooperation.

Trust busting

Looked at from a logical standpoint, Trump’s trade policy appears inconsistent because (a) it will make US consumers worse off and (b) he has not followed through on his calls, undermining their credibility. Against that, his policy could be seen as a form of calculated ambiguity or strategic brinkmanship, with Trump attempting to pressure trading partners into concessions and rallying domestic support by appearing strong on trade. By merely postponing tariff implantation, Trump keeps everyone off balance, thus enhancing his leverage and keeping his threats alive without fully committing.

Perhaps the best definition of the current situation is one of strategic ambiguity, based on the goal of retaining flexibility in order to exert pressure and manipulate expectations. Such a strategy might work if the short-term volatility serves a longer-term purpose, but other than putting maximum pressure on China, it is hard to see what the longer-term plan is. At some point Trump has to commit on tariffs one way or the other but when he does, he will have to accept the consequences. America’s putative allies may be amenable to Trump’s threats but China most certainly is not.

Last word: Common sense is not so common

All of this may sound like obvious common sense – don’t escalate conflicts that hurt both sides, don’t bluff unless you’re willing to follow through, and don’t ignore the long-term consequences of short-term moves. Yet time and again, these lessons are ignored in the heat of political battles. This is where game theory proves its value: not as an abstract academic exercise, but as a practical framework for understanding strategic behaviour and anticipating outcomes. By highlighting the incentives, interdependencies, and likely responses of all players, the theory of games offers a rational lens through which to view even the most irrational-seeming policies.

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