Traffic and Game Theory

Driving on a road can be thought of as a game

Saurabh Roy | October 6, 2016


#Traffic   #Game Theory  

Traffic conditions in Indian cities are among the worst in the world. I thought it was a case of a developing country – till I found that India is very peculiar in this regard. Traffic is as bad if not worse in Yangon, Lima, Kampala and Nairobi. But Delhi and Mumbai face an issue which none of these cities has, that of drivers not following lane rules. I argue that the problem we face is the case of a bad ‘Nash Equilibrium’.

Nash Equilibrium is a stable state of a system involving the interaction of different participants, in which no participant can gain by a unilateral change of strategy if the strategies of the others remain unchanged. I argue that this is essentially a failure to solve a repeated ‘Prisoner’s Dilemma’ game. Prisoner’s Dilemma, a well-known theme in maths and logic, is the difficulty of achieving the best outcome when there are obstacles to cooperation.

Driving on a road can be thought of as a game. I can choose to follow lane rules (“cooperate”) and stay behind the car in front of me, or I can choose to “not cooperate” and overtake the car, going into the wrong lane. Now, let us break this down.

Round 1: If I am driving for the first time and see that I am stuck behind a car when the opposite lane is completely empty (the usual situation during peak traffic hours), I have an incentive to “not cooperate” and switch to the opposite lane. Thus I save time and “win”.

Round 2: Other people see this and realise that it is in their interest to not follow lane rules and decide to “not cooperate”. This brings us to
a situation where everyone decides that they too should not follow lane rules and go into the wrong lane. In this scenario, the person who follows lane rules loses out and no one “cooperates”.

Now things get interesting. The way to solve a repeated prisoner’s dilemma is to repeat the action of the opposing player, that is, if he cooperates, you cooperate in the next round; and if he does not cooperate, you punish him by not cooperating in the next round. This is helpful if there is some amount of randomness in the choice that the opposing player makes and if he learns from his mistakes (or my punishment). If on the other hand, everyone is logical (as economists are wont to argue) one bad move or initial condition, and the system gets stuck in a sub-optimal equilibrium. Hence, it can be argued that the chaos that is driving in India is essentially a sub-optimal Nash equilibrium.

The solution to this problem is “altruism”, that is, you need to forgive the other player after a certain number of moves. If everyone is logical then at some point, an optimal equilibrium will be achieved. In 70 years, Indian drivers have failed to solve this basic problem hence my argument that the sub-optimal driving conditions result from either a low IQ or a lack of ‘social capital’.

Social capital is defined as “the social networks and the norms of trustworthiness and reciprocity that arise from them”. At the core of social capital is trust. Trust here means trustworthiness and not gullibility. Trust is one of the key ingredients that make a country work. How can we drive, eat or even buy and sell unless we trust other people? Trust is of course supplemented with regulation but an economy usually works better with trust than without. Trust is a solution to the prisoner’s dilemma. It is not clear how countries can build trust and social capital but what is clear is that it is one of the major determinants of development. In the 19th century, in his seminal work, “Democracy in America”, Alexis de Tocqueville observed how Americans were prone to meet and discuss all possible issues of the state and how such a high level of interaction and transparency encouraged participation from people and allowed democracy to flourish.

Social capital reduces problems of collective trust but does not solve it completely. Governments exist exactly for this reason – to solve collective action problems. Therefore, we need a strong collective effort to preserve the reputation of specific institutions. A strong regulation is a commitment that breaking certain rules will not be tolerated.

The discussion on traffic though can be rendered moot within a decade with the advent of self-driving cars and artificial intelligence-driven cars which would automatically achieve an optimal equilibrium. Therefore, it may make even more sense for the government to look into regulations for self-driving cars and mandating their use in future smart cities. The precedent for these has already been set in Helsinki, Pittsburgh and Singapore and we should not hesitate to join the ranks considering the problems we face in our best cities.

Roy is a fellow at Pahle India Foundation.

Comments

 

Other News

Elections 2024: 1,351 candidates in fray for Phase 3

As many as 1,351 candidates from 12 states /UTs are contesting elections in Phase 3 of Lok Sabha Elections 2024. The number includes eight contesting candidates for the adjourned poll in 29-Betul (ST) PC of Madhya Pradesh. Additionally, one candidate from Surat PC in Gujarat has been elected unopp

2023-24 net direct tax collections exceed budget estimates by 7.40%

The provisional figures of direct tax collections for the financial year 2023-24 show that net collections are at Rs. 19.58 lakh crore, 17.70% more than Rs. 16.64 lakh crore in 2022-23. The Budget Estimates (BE) for Direct Tax revenue in the Union Budget for FY 2023-24 were fixed at Rs. 18.

‘World’s biggest festival of democracy’ begins

The much-awaited General Elections of 2024, billed as the world’s biggest festival of democracy, began on Friday with Phase 1 of polling in 102 Parliamentary Constituencies (the highest among all seven phases) in 21 States/ UTs and 92 Assembly Constituencies in the State Assembly Elections in Arunach

A sustainability warrior’s heartfelt stories of life’s fleeting moments

Fit In, Stand Out, Walk: Stories from a Pushed Away Hill By Shailini Sheth Amin Notion Press, Rs 399

What EU’s AI Act means for the world

The recent European Union (EU) policy on artificial intelligence (AI) will be a game-changer and likely to become the de-facto standard not only for the conduct of businesses but also for the way consumers think about AI tools. Governments across the globe have been grappling with the rapid rise of AI tool

Indian Railways celebrates 171 years of its pioneering journey

The Indian Railways is celebrating 171 glorious years of its existence. Going back in time, the first train in India (and Asia) ran between Mumbai and Thane on April 16, 1853. It was flagged off from Boribunder (where CSMT stands today). As the years passed, the Great Indian Peninsula Railway which ran the

Visionary Talk: Amitabh Gupta, Pune Police Commissioner with Kailashnath Adhikari, MD, Governance Now


Archives

Current Issue

Opinion

Facebook Twitter Google Plus Linkedin Subscribe Newsletter

Twitter