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India and China are at a Nash equilibrium. Will it hold?

Two things can disturb the Nash equilibrium (apart from bad defence or internal political collapse): The transition to a successor Dalai Lama, and an India-Pakistan fight that draws China directly in and leads to a two-front war for India

Prime Minister Narendra Modi greets Chinese President Xi Jinping upon his arrival for the BRICS summit in New Delhi, India, on Saturday, September 12, 2026. (Foreign Ministry via AP) ChinaPrime Minister Narendra Modi greets Chinese President Xi Jinping upon his arrival for the BRICS summit in New Delhi, India, on Saturday, September 12, 2026. (Foreign Ministry via AP)
Written by: Kanti Bajpai
5 min readSep 14, 2026 06:14 PM IST First published on: Sep 13, 2026 at 02:05 PM IST

Are we any the wiser about the course of India-China relations after the Eight Points of Outcomes and Consensus statement on the border issued on August 25 and the meeting between Prime Minister Narendra Modi and Chinese President Xi Jinping at the just-concluded BRICS Summit?

What the August statement and the two readouts from India and China after the summit indicate is that, with respect to the border, the two sides are at a Nash equilibrium. For the Economics 101-challenged like me, a Nash equilibrium is an outcome in a non-cooperative game in which “no player’s expected outcome can be improved by changing one’s own strategy” (according to Britannica online). In essence, India and China, at least tacitly, recognise that in any foreseeable future they cannot aspire to and achieve a better position in the border quarrel. They may well spar diplomatically and militarily occasionally, as they have since 2013. But the intermittent war of words and of hardware over control of the high Himalaya can only move the Line of Actual Control slightly.

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