Research on Trading Friction between China and the US from Game Theory Perspective

Since the development of free trade theory, global economy has developed extremely rapidly. However, protectionism has played a negative role in free trade. It is widely known that the trade friction between China and the US has attracted attention by the whole world and the result may influence the global economy. This paper will analyze the trade friction from game theory, how China and the US can gain optimal payoff and which kind of strategy will be used by China and the US.


Introduction
Because of the development of international business, the integration and globalization of the world economy are increasingly tight. Citizens from Iceland can have coconut from the Philippines. From 1800 to 2008, the volume of global exports has increased over 2296 times [1]. However, due to imbalance of productivities or nature resource, trade deficit has generated. In order to return the deficit, some industries require to be protected and supported by the government to gain competitive advantages from global competitors. Therefore, trading friction has been more and more sharply. Because of the 2008 financial crisis, try, China achieves export value at $2655.61 trillion [2] and gains huge loss because of trade protectionism. Recently, trading friction between China and the US has attracted attention from billions of people. The US government wants to impose billions of dollars tariff on China's export [3]. From August 2017, the US government wants to impose billions of dollars tariff on China's export [4]. The unfairness cannot be accepted by Chinese government and industries.
From economic perspective, if the trade friction cannot be solved in an effective way, both China and the US would suffer so much loss so that the global economy would be a serious decline. Therefore, negotiation is taking place on the trading war to achieve more benefits for both two countries. Both the two countries have their best payoffs, but can they achieve own targets at the same time, or how they can gain optimal payoffs under the sharp friction. The object of this paper is to analyze the effects of trading friction by game theory, the Chicken Game Model will be involved to present the strategies and payoffs from the two countries. It may be helpful for individuals and organizations under this economy event.

Fact of International Trade and Protectionism
Since 18 th century, the importance of free trade has been realized by economists.
Adam Smith issues absolute advantage theory to encourages a nation to produce more effective items and free trade to others. The invisible hand has ability to adjust economy to make both countries achieve benefits [5]. Based on Smith, David Ricardo and other economists develop free trade theory. It can be concluded that one country should concentrate domestic resource to produce the most effective production to export for benefits, and import the goods which this country has less capacity. Therefore, free trade has academic support to develop. In addition, due to Vernon's product life-cycle theory, which can be presented that in order to reduce costs, production location changes from developed counties to developing countries [5]. With the development of international trade, international division and global value chains are generated. Advanced companies from developed countries can select good location to produce more efficiently [6]. The fact of recent international trade is that multinational corporation invests to developing countries, especially, in manufacturing, due to lower cost, particularly cheap labor force. The fact is that developing countries are regarded as manufacturing platform of developed countries [7]. For instance, Apple's products are manufactured in China, but only 2% -3% profit of the total value can be disputed to Chinese manufacturing firms [6] [7].
On another hand, international trade is regarded as a positive-sum game, but every country requires to achieve more benefits from global trade and help domestic industries gain more profits from international competitors [5]. Therefore, trade protectionism is generated. Trade protection is defined as "trade protection is the deliberate attempt to limit imports or promote exports by putting trade openness, protectionism is still widely practiced [8]". It is widely believed that trade friction is the product of protectionism, which is a revenge from other countries. It is presented that "trade friction represents the natural state of international economic affairs. While the benefits of free trade are unassailable, from time to time, distributional impacts to distribution caused by comparative advantage move to the forefront of economic diplomacy [9]".
It is shown that, motives for protection including protecting sunrise industries, sunset industries, strategic industries, non-renewable resources and save employments [10]. In addition, tariffs, import quotas, product standards, and government subsidies are common method to protect domestic industries [11].

The History of Trade Friction between China and the US
It can be presented that the history of trade friction between China and the U.S can be divided into 2 stages, at the point financial crisis in 2008. Before 2008, there are 4 characters trade friction between China and the U.S, firstly, it occurs frequently (almost two years) and has a short duration (each duration is about one year); the second is only for specific industries; the third is usually initiated by industry associations, and then by the government; the fourth is that the trade frictions between the two sides are terminated by negotiating bilateral agreements or consensus. After 2008, the trade protection initiated by the U.S against China has spread from a single industry to multiple industries, and the protection of traditional industries has gradually shifted to the protection of strategic emerging industries. At the same time, trade protection measures have become more diverse and deepened into the intervention of foreign exchange rates [12]. However, this time, the sharp friction may lead to a serious trade war. Since Trump is in power, the friction has been updated. Trump's signing of the launch of the "special 301 report" directly led to the US tens of billions of dollars in tariff penalties for China. Moreover, Trump publicly stated that China is a competitor, which greatly improved the possibility of trade war [13]. At 15 th August 2019, the trade friction between China and the US has continued over 400 days, the negotiations have no crucial progress, the US insists on tariffs applied exclusively to Chinese goods: US$250 billion, and threatens tariffs on US$325 billion more. As a response, China presents total tariffs applied exclusively to US goods:

The Core Issue of Trade Friction between China and the US
On the one hand, the statistics from China Customs show that in 2018, bilateral trade between China and the U.S totaled US$633.52 billion, an increase of 8.5% year-on-year, accounting for 13.7% of China's total trade, during the same period. Among them, China's exports to the U.S are US$478.42 billion, increasing 11.3% year-on-year, accounting for 19.2% of China's total exports of goods; imports from US are US$155.10 billion, up 0.7%, accounting for 7.3% of China's American Journal of Industrial and Business Management total imports. China has a surplus almost 323.33 billion U.S. dollars, climbing up 17.2% [14]. The US is China's second largest trading partner, the largest export market and the sixth largest source of imports. According to the statistics of the US Department of Commerce, the total Sino-US trade in 2018 is US$659.85 billion, an increase of 3.9%. Among them, the U.S exported 120.34 billion US dollars to China, decreasing 7.4%, accounting for 7.2% of total US exports; the U.S imported 539.50 billion US dollars from China, climbing 6.7%, accounting for 21.2% of total US imports [14]. Despite the different statistics, China still has a trade surplus of more than 300 billion US dollars. The Trump's administration has strong willing to narrow, even eliminate the gap. In addition, imposing tariffs can help to increase domestic employment.
On another hand, the "China Manufacturing 2025" strategy has been implemented smoothly, China is attempting to grow to a strong manufacturing nation [15]. This is due to the fact that China plans to update its industrial structure from low value add to high value add. Transforming from labor-intensive economy to high-tech-oriented economy [16] [17]. With the accumulation of capital and update of development strategy, increasing Chinese companies pay more attention to innovation and first mover, and high-tech industry develops rapidly, which means that China's high-tech firms such as Huawei play increasing role in global business. Since 2010, China has been the second position in the whole world GDP ranking, but the Gap between China and the U.S is extremely huge. At the end of 2018, GDP of the U.S is $20,494 billion, meanwhile, China's GDP is $13,608 billion. The data of the U.S is almost the sum of China, Japan and Germany [18]. China is still a manufacturing platform of labor-intensive products for the US. However, some politicians believe that the US is falling down the Thucydides's trap, which can be defined as a strong emerging power will inevitably challenge the existing dominant power, and the existing dominant power will inevitably respond to such threats by various methods. The Thucydides trap concept is widely used and is almost regarded as the "inexorable rule" of international relations [19]. In addition, Zhang (2018) presents that in modern civilization, the direct military conflict between the China and the US is irrational [20]. Therefore, economic sanctions and even trade frictions are expected methods to this issue. In addition, since the Second World War, the three pillars of US dollar, American values, and military power that American hegemony relied on have been relaxed as never before, indicating that the United States is declining. Meanwhile, China's reform and opening up has continued to deepen, and supply-side structural reforms have achieved remarkable results, helping China's economy move toward high-quality development [21]. The ongoing trade friction between China and the United States is closely related to the US government's confrontation policy or even hostility to China. The current policy of the US is based on the misunderstanding of the US government toward China [4]. The US administration has strong willing to limit China's development.

The Theorical Connections between Trade Friction and Game Theory
Game theory is about decision-making choices and decision-making equilibrium problems when the behaviors of various decision-making bodies interact [22].
According to game theory, games can be classified into zero-sum or non-zero-sum, cooperative or non-cooperative, symmetric or asymmetric, simultaneous or sequential and perfect information or imperfect information. In addition, game theory is mainly used for trade policy analysis [23]. As a mathematical tool for policy makers, the importance of game theory lies in its approach to the design and analysis of strategic decision problems [24]. A key goal of game theory is to achieve the optimal strategy of each participant so that it can maximize its payoffs [22]. Therefore, the US government desires to optimize its benefits and provokes trade disputes. China has enough reasons to reject these peremptory demands of the US. This is the theorical supporting for the trade friction.

Research Design
Qualitative research will be used in this paper, and a dynamic game model will be designed including China and the US Game theory is a useful research method to analyze the issues about economic and social development [25].

The Sino-US trade friction is mainly a game between China and the United
States. The strategies that the two countries can choose and the final result of the game are similar to the Chicken Game model. Therefore, the Chicken Game can be used to analyze the Sino-US trade friction. The Chicken Game which is also called the cowardly game, the original intention is that two cocks meet, there are four kinds of situations: two loses, loses each other and one of them retreats. The outcome of the two defeats is obviously irrational, and if one wants to retreat, it will be compensated accordingly. However, in this case, the Chicken Game needs to be updated slightly because the game is not equilibrium. 1) The U.S act strongly, China counterattack mighty, tit-for-tat.
2) The U.S act strongly, China is forced to compromise. It can be concluded that the game of friction between China and the U.S is asymmetry, cooperative and dynamic but not equilibrium. Therefore, the payoffs from different perspectives are not the same [13]. Based on game theory and the author's hypothsis, strageties and payoffs will be presented by US perspective and China perspective.

Game from the US Perspective
Because of the huge trade deficits, the U.S administration believes that China has more benefits than the US, if the trade structure continues. Therefore, the author hypothesizes before the trade friction, China has 6 payoff and the US has 4. With the strong willing of the government filling the deficits, results B and D are more possible to be accepted by the US. Compared D, for the US, B has more benefits, because more demands will be compromised by China, the U.S will gain more benefits. The author hypothesizes result B with the minimum payoff (4, 6), in contrast, minimum result D presenting (5,5). For result A, both China and the US suffer huge loss, with payoff (−1, 0), because China has remarkable surplus, which means more loss. For result C, if the US gives trade friction up, the payoffs will keep on (6, 4). Therefore, A and C are difficult to be accepted (Chart 2).

Analysis of Results
According to the different payoff matrix designed in former sector, the author will analyze the strategies from the US perspective and China perspective, respectively.
Compared with results from China and the US game strategy, result A can be abandoned, because A is the worst payoff for both two countries.

The Possibilities of Strategy of the US
The strategic possibilities of the U.S ranked from large to small are B, D, and C.
The Trump administration imposing heavy tariffs to a great list of Chinese goods exported to the United States, the impact is not limited to Chinese export enterprises, but also directly harm some enterprises and consumers in the United States. Sino-US trade structure is that the Chinese and American goods are highly complementary. Due to the comparative advantages, China's labor-intensive products are cheap and popular in the U.S, which means that imposing tariffs on Chinese related products will cause the higher production costs and lower profits for related domestic manufacturers and the U.S consumers will also face the risk of increased consumer spending. Nevertheless, another reason for trade friction is to help to save even increase employment with some failure experience. For instance, in 2012, the President Obama imposes tariffs on Chinese tier product to increase related employments.
he trade protection increases almost 1200 jobs for American with an unbelievable cost over $1.1 billion, it means that every job cost at least $900,000, much higher than general cost [26]. As Americans spend more in the tire industry, the market for other retail goods has been hit by nearly $1 billion, resulting in an estimated loss of nearly 4000 jobs [27].
In summary, due to the trade situation, domestic exception and historical experience, the US has the largest possibility to choose strategy D. Nevertheless, up to June, 2019, China still holds $1,112,500 billion the US Treasuries [31]. As the biggest creditor country of the US, China plays a crucial role to maintaining stability in the US financial market. In summary, if the US acts tough, China will be tough, but the best choice is that both two countries are compromise.

Conclusion and Recommendation
To sum up, the US is stronger than China, but it has many limitations from both domestic and outside. Although China is the weaker one, both China government and Chinese have confidence and courage to face the trade war. China and the United States are most likely to be compromise and negotiate to achieve maximum profitability within the acceptable range of both parties. This is the optimal payoff of the game.
As the global economic competition becomes increasingly fierce, China may face more trade frictions. In order to effectively deal with the unknown threats, China should do the appropriate preparations and plan ahead. For developing countries like China, it is necessary to develop multilateral trade, and strengthen economic and trade cooperation globally; expand domestic demand and activate domestic market; develop high-tech and accelerate upgrading industrial structure, to take an active position in international trade.
The game of powerful countries is complex and will be affected by a lot of factors. Some constant variables cannot be shown by basic game theory model.