【摘要】 European Journal of Political Economy 7 (1991) 141-157. North-Holland Socialist economic growth and political investment cycles* Heng-fu Zou Public Economics Division, The World Bank, Washington, D.C. 20433, USA Accepted for publication October 1990 Treating social planners as self-interested bureaucrats. this paper offers a positive growth model to understand (i) why rapid capital accumulation is directly towards the social planners’ own interest; (ii) why investment hunger is an inevitable consequence of social planners’ rational choice; and (iii) how investment cycles are related to political changes in the centrally planned economy. Preliminary empirical work on China has provided strong support for this modeling. 1. Introduction In traditional optimal growth models for a centrally planned economy, see,e.g., Cass (1965) and Koopmans (1965) social planners maximize an intertemporal social welfare function defined on per capita consumption,subject to the dynamic constraint of capital accumulation. The results from these models have become the folklore of modern economics: there exists a unique optimum path converging asymptotically to the unique equilibrium;the optimum capital stock in the long run is determined by the famous modified golden rule, i.e., marginal productivity of capital is equal to the natural growth rate of population plus the time discount rate of social planners. In these models, social planners all act in the interest of the society. They do not have any objective function other than the welfare of the people, and their personal images are only reflected in the time discount rate. Cass (1965) provides a typical picture of the central planners: ‘The central planning authority’s concept of social welfare is related to the ability of the economy to provide consumption goods over time. In *I am grateful to Bela Balassa, Richard Caves, Janos Komai, Andrew Newman, Dwight Perkins, Yingyi Qian, Jeffrey Sachs and Xinsheng Zeng for very helpful discussion and comments. The first version of this paper was presented in Janos Komai’s workshop at Harvard. I thank the seminar participants for their suggestions. Responsibility for the contents of the paper is solely mine and not of the World Bank. 01762680/91/SO3.50 0 1991-Elsevier Science Publishers B.V. (North-Holland) 142 Heng-fu Zou, Socialist economic growth and political incestmenr cycles particular, welfare at any point of time is measured by a utility index of current consumption per capita . . . . The central planning authority recognizes that consumption tomorrow is not the same thing as consumption today. For this reason, it takes the politically pragmatic view that its planning obligation is stronger to present and near future generations than to far removed future generations. This view is implemented in practice by discounting future welfare at a positive rate.’ This approach to socialist growth suffers from serious limitations when compared to socialist reality. First of all, traditional optimal growth models are based on an insufftcient understanding or indeed, a misunderstanding of the nature of the social planners. This point has been emphasized by Janos Kornai in his various studies [Kornai (1982, 1986, 1988)]. With both political power and economic resources in their control, social planners are not constrained or directed to choose the optimum feasible growth path with respect to the only criterion, which is to maximize social welfare. ‘Such an unworldly bureaucracy never existed in the past and will never exist in the future. Political bureaucracies have inner conflicts reflecting the divisions of society and the diverse pressures of various social groups. They pursue their own individual and group interests, including the interests of the particular specialized agency to which they belong. Power creates an irresistable temptation to make use of it. A bureaucrat must be interventionist because that is his role in the society; it is dictated by his situation.’ [Kornai (1986, pp. 17261727)] In practice, social planners are often investment growth rate maximizers [Grosfeld (1987)], and their personal interests are more connected to the persistent expansion of their organizations than to the increase in people’s consumption. In their investment strategies, ‘the highest priority is placed on industry, and within industry on heavy industry, and within heavy industry on the part related to the military. . . . Among the neglected, non-priority sectors, one typically finds agriculture, and even more so all the branches of the tertiary or service sector, such as transport and telecommunication, housing, other communal services, domestic trade, and health. This diversion of resources from consumption to investment takes place not provisionally for two or three years, but for decades, for twenty, thirty, or forty years.’ [Kornai (1988, p. 244)] In this paper, we intend to offer a simple alternative model to capture certain essential aspects of socialist economic growth. The most important Hen&u Zou, Socialist economic growth and political investment cycles 143 feature of the model is in defining the social planners’ objective function in both per capita consumption and per capita capital stock. The model is justified and set up in section 2. In its abstract form, this modelling was presented by Mordecai Kurz in 1968. That paper has long been neglected in the economics profession partly because, we guess, Kurz has not offered any justification for the so-called wealth effects model. In this paper, we are able to find a realistic setting for the Kurz model in socialist economic growth. In section 3, we demonstrate that this simple model provides good framework for the understanding of ‘investment hunger’ and ‘expansiondrive’ studied by Kornai (1980). Section 4 derives a theory of political investment cycle from our basic model. It is shown that the investment rates (or accumulation rates in the terminology of socialist economics) are related to different political regimes in socialist countries. In section 5 we will look at the empirical data on investment rates from 1952 to 1985 in China. The variations on investment rates throughout those years can be substantially explained by the change of political power at the top level of government, evidence supporting the theory of political investment cycle. 2. The model and its justification We define the instantaneous utility function of social planners at a given time t as the summation of two parts: u(c,) +nu(k,), where c, is consumption per capita, and k, is capital stock per capita at time c. Social planners derive positive utility from both consumption enjoyed by the people and capital stock owned by the state, so the first-order derivatives of functions u(s) and u(.) are positive. The Greek letter IZ is a positive constant that measures the importance of capital accumulation from the point of view of the social planners. In later sections, we will allow x to take different values, and its effects on capital accumulation, the investment rate and consumption will be studied. Furthermore, for technical reason, we assume that the second-order derivatives of u(e) and u(e) are negative, and that: lim u’(q) = co, C*L 0 which guarantee the sufficiency of the first-order conditions for optimization, and exclude the corner solution of zero consumption. In modelling the social planners’ preference, we maintain that social planners do care about people’s consumption, and the improvement in the living standard of the people seems to justify their manipulation of political power and economic resources in a socialist economy. But it is more important to note that social planners’ own interest lies more directly in the expansion of the firm and public organization of which they are in charge. 144 Heng-fu Zou. Socialist economic growth and political incestment cycles Social planners are not just a group of persons in the central planning bureau, they consist of all persons involved in formulating the plan, from the managers at the bottom to the ministers at the top. According to Kornai (1981, 1986, 1988), the first and most important motivation for accelerated capital accumulation is the identification of social planners with their own jobs. An expansion of the firm or organization under their direct control is always a source of satisfaction. The second motivation is prestige. ‘A larger organization brings more prestige, and also more power’ [Kornai (1981)]. ‘The simple urge to exert power over people, and to exercise some discretion over the allocation of physical resources can also make managers strive for higher investment levels for their firm’ [Kornai (1988, p. 264)]. So ‘it is important to note that investment hunger and expansion drive characterize not only the behavior of the top manager and his subordinates in a particular firm, but also rhe attitude of economic agents at all levels of the bureaucratic hierarchy in a socialist system . . . the general ideology of the system favors expansion, and no claimant’s application for funds is ever regarded as unreasonable or unethical by anyone in the hierarchy. On the contrary, everyone considers such a request as the natural and normal behavior within the system.’ [Kornai (1988, pp. 26& 265, emphasis added)] This assessment of socialist planners is essentially the same as the one used in the analysis of bureaucrats in western democracies. For example, Orzechowski (1977) defines the bureaucrat’s utility function directly on the output produced by his bureau and the capital stock or labor in his control. And the striving for more budget revenue in western public sectors resembles the investment hunger and expansion drive in socialist economies. With these discussions, we might call K, which appeared in the social planners’ utility function, the measure of the degree of expansion drive. A large value of II means that the social planners are highly expansion oriented; and a zero value of 7c brings us back to Ramsay-Cass-Koopman’s mathematical utopia of socialism. [Phelps (1961) presents the golden rule of capital accumulation in ‘a fable for growthmen’. In reality, where can we find the King of the Kingdom of Solovia?]. To proceed with our model, we assume that the social planners maximize the following intertemporal utility with discounting (for notation convenience, we omit the time subscript t of all variables from now on): $ [u(c)+nv(k)]e-P’dt, p>O, (1) where p is the social planners’ subjective rate of discount. Heng-fu Zou, Socialist economic growth and political investment cycles 145 There is a standard neoclassical production function f(k) in the economy with f’(k)>O, and f”(k) CO. Capital is subject to a depreciation rate 6. The population growth rate is exogenously given as n. So capital accumulation in per capita term follows the dynamic equation: r;=f(k)-c-(n+d)k. (2) Social planners maximize (1) subject to the dynamic constraint (2). The current value Hamiltonian H is defined by H=u(c)+nu(k)+1[f(k)-c-(n+@k]. (3) The optimal paths for consumption and investment are d= & Crru (k)+u (c)(f (k)-n-6-p)1, i=f(k)-c-(n+d)k, lim e- Pri.k = 0. ,+m (5) (6) We are going to make a detailed analysis of above dynamics in the next section. 3. The dynamics of the model and the properties of the equilibrium As noted by Kurz (1968), the dynamic systems (4) and (5) may easily result in multiple equilibria, and some equilibrium points are saddle-point stable, while some are totally unstable. To see this, denote the equilibrium values of consumption and capital as c* and k*, and linearize the systems around these values: d (n+d+p)-f’(k*) II, nv”(k*)+u’(c*)f”(k*) c_c* - u”( c*) = (7) r; -1 f’(k*)-n-6 II I k-k* . Denote the 2 x 2 matrix as M. The trace of the matrix is tr(M)=p>O. (8) As the trace is the sum of the two characteristic roots of the systems, at least 146 Heng-fu Zou. Socialist economic growth and political incesrmenr cycles one of the roots is positive. Therefore we cannot have a stable equilibrium point. Next, the determinant of the matrix is A = Cn + 6 + p _f’(k*)] [f’(k*) _ n - ,j] _ IrO”(k;,*,); ;zJ*)f”‘k*). (9) The second term on the right-hand side of (9) is negative; the first term is positive or negative depending on whether the capital stock is smaller or larger than the golden rule capital as pointed out by Kurz (1968). If the steady-state capital stock is equal to or larger than the golden rule capital, f’(k) is equal to or less than n+6; the first term on the right-hand side of (9) is also negative because [n + 6 +p - f’(k*)] is positive as shown below in proposition one. In this case, A is negative. For A is the product of two characteristic roots, negative A implies that one root is positive and one negative. If A is positive, then both roots will be positive as the existence of two negative roots contradicts (8). For this section, we will focus on the case that A is negative, that is to say, there exists a unique optimal path in the neighborhood of the equilibrium. Furthermore, we assume that there exists only one equilibrium for the systems. A numerical example is presented in the next section before we go on to discuss the political investment cycle. Of course, if the time discount rate is very small, the first term on the right-hand side of (9) is negative; so is A. The properties of the unique saddle-point equilibrium follow in order: Property 1. The equilibrium capital stock is larger than the modified golden rule one. To show this, note that, in a steady state, we have & {nu’(k*)+u’(c*)[f’(k*)-n-d-p]} =O, f(k*)-c*-(n+@k*=O. From (10): f’(k*)=n+d+p- $<n+g+p=/‘(k”), (10) (11) (12) where kmg denotes the modified golden rule amount of capital. From (12), it is clear that k* > kmg as f”(*) is negative. The explanation is simple. Since Heng-fu Zou, Socialist economic growth and political inoestment cycles 147 social planners benefit directly from the expansion of the economic organization and since the welfare of consumers over the infinite horizon is not the only criterion for planning, the short-run consumption will be partly sacrificed for the expansion drive. It is quite possible that, as shown in the next numerical example, consumption is permanently sacrificed in this kind of models: equilibrium consumption is lower than the golden rule one and capital is over-accumulated. Property 2. The higher the value of 7c, the higher the steady-state capital. Totally differentiating eqs. (10) and (1 1), we have (13) It is simple to show that dk 1 u’(k*) -= 9 drr A u”(c*) (14) which is positive as the economy is on the unique optimal convergent path. As for the steady-state consumption, the sign is ambiguous depending on whether the equilibrium capital is higher or lower than the golden rule capital. The effects of II on investment and consumption on the unique optimal path can also be analyzed. From (7), the solutions of the linearized systems for the behavior of the capital stock and consumption are k,=k*-(k*-k,)ee’, (15) ri=, - fl(k* - k,), (16) c,=c*+(f’(k*)-n-6-B)(k,-k*), (17) where 0 is the negative root of the dynamic system: &&I-&zzi]. (18) From (16) and (17), it is clear that, through its positive effect on steady-state capital, k*, the high value of II leads to high investment and low 148 Heng-fu Zou. Socialist economic growth and political investment cycles consumption on the optimal path for all k, less than k*. But we should note that n may also affect 8 and c*. If the increase in rr tends to lower 8, in other words, 8 becomes more negative, then the investment will be unambiguously high as a result of IC being high. Property 3. The higher the value of IC, the higher the steady-state investment rate (or saving rate). In the steady state, investment is just (n+6)k*. Let the investment rate (or saving rate) be s, then (n+d)k* S=m’ ds (n+d) -=p [f(k*)-f’(k*)k*] 2, drt (f(k*)* (19) (20) which is positive since dk/drr is positive and [f(k*)-f’(k*)k*] is also positive for any concave function. The three properties stated above reveal how social planners’ preferences affect the growth pattern in socialist economies. In the Cass model, we know that the form of social welfare functions does not enter into the determination of equilibrium capital stock. Even if we interpret the social welfare function as the social planners’ own preference, the equilibrium capital and consumption are still independent of the social planners’ preference as long as their preference is defined only on consumption. Recall from Cass (1965), that in equilibrium: f’(kmg) = n + 6 + p, (21) f‘(kmg)-C-(n+6)kmg=0, (22) so the social welfare function itself plays no role in the determination of kmg in Cass model. [Please compare (21) and (22) with equilibrium conditions (10) and (1 l).] The invention by Kurz (1968) provides us a rich picture for the link between preference and economic growth. Of course, as a positive approach, the Kurz model with proper justification is much more realistic than the Cass model when applied to a socialist economy. Heng-fu Zou, Socialist economic growth and political incestment cycles 149 4. A numerical example and an illustration of political investment cycle Even though the modified Kurz model gives us interesting results, the existence of multiple equilibria brings about complicated dynamics even with simple preferences and technology. Here we show that, if preference is the popular logarithm functions of consumption and capital and if technology is standard Cobb-Douglas, there exists a unique equilibrium and a unique optimal path. Now the social planners maximize 7 [logc+nlogk]e-P’dt, subject to k=k”-c-nk, (23) (24) where 0 <a < 1, and we have set 6 equal to zero for simplicity. The corresponding optimal conditions are: f=f [xc-srk’-(n+p)k], (25) &=k”-nk-c. (26) Set the time derivatives of c and k equal to zero in (25) and (26) the unique optimal equilibrium point is: (27) c* = k*= - nk*. (28) The determinant of the corresponding matrix M is Upon substitution: 150 Heng-fu Zou, Socialist economic growth and political investment cycles d=(n+p-na)(nn+n+p)C~(a- I) 41 -@I,, (71+ a)* (30) as O<a < 1. So there is one negative characteristic root and one positive root: the equilibrium is saddle-point stable. It is straightforward to check that $(l -a)k*‘-~$0. (31) (32) Next, we are going to see under which circumstances a high degree of expansion drive leads to dynamic inefficiency. In Phelps (1961), the golden rule capital stock at which consumption is maximized is given as (for Cobb- Douglas technology): kg = [a/n] ‘h 1 - =). (33) For k* is larger than kg, it is required that 7T+LY >r m+n+p n’ (34) which is the same as to require that 7~ > ap/( 1 - an). (35) For a =0.25, p =0.05, and n =O.Ol, rr should be larger than 0.0125, which is not a strict requirement. So, in this case, the people’s consumption is not only sacrificed on the dynamic path converging to the steady state, but is also sacrificed in the steady state. Suppose there are two groups of social planners in the economy. Following the convention, we may call one group ‘softliners’ or the ‘right’, and the other group ‘hardliners’ or the ‘left’. They alternatively control the process of making the plan. It is known that in socialist countries such as Hungary, Heng-fu Zou, Socialist economic growth and political incestment cycles 151 shifts of resources towards consumption rather than investment always come about as a result of ‘softline’ rule; the ‘hardliners’ or the ‘left’ are always more expansion oriented [see Kornai (1988, pp. 283-284)]. In our model, if we denote nc as the expansion desire of the ‘left’ and II, as the expansion desire of the ‘right’ and let rrL>c rr, > ap/( 1 - rn), then the ‘left’ maximizes: m i [logc,+a,logk,]e-P’dt (36) subject to k,=k;-cd-nk,. (24) The ‘right’ maximizes: $ [logc,+n,logk,]e-P’dt (37) subject to li,=kf-c,-nk,. (24) The initial capital stock is the same for both groups: k,=l To avoid the problem of time inconsistency, we assume that the ‘left’ and the ‘right’ both commit to the optimal programs they calculate at time zero, and make no changes later on. From the calculations above, it is easy to obtain that in steady state k; > k:, cc <CT. (38) From (32), the steady-state investment rate for the ‘left’ is always larger than the one for the ‘right’. If the ‘left’ is in power, the economy experiences higher investment and lower consumption; if the ‘right’ is in power, consumption is relatively high and investment relatively lower. The cyclical change in consumption, investment and the investment rate is shown diagramatically in fig. 1, where E, and E, are equilibrium points for the ‘left’ and the ‘right’ respectively. If the economy is currently in E,, the power shift from the ‘left’ to the ‘right’ results in an immediate upward jump in consumption and in a reduction of investment; the new long-run equilibrium is E, where capital stock is lower than, but consumption is higher than, the equilibrium levels at Et. The investment rates fluctuate following the political power shifts. This is a demonstration of political investment cycles at steady states. Investment cycles can also happen on the paths converging to the steady states. In fig. 2, P, and P, are the optimal convergent paths for the 152 Heng-fu Zou. Socialist economic growth and political incestment cycles d = 0 for the “right” Fig. 1 6 I 0 for the “right” i = 0 for the ‘left” k Fig. 2 ‘right’ and the ‘left’ respectively. If the economy is initially on the path for the ‘right’ P,, a change in political regime from the ‘right’ to the ‘left’ leads to an immediate downward jump from the path P, to the path PC. Throughout time, the economy follows a zigzag path, and investment rates fluctuate accordingly on the path. 5. Historical evidence In this section, we present a preliminary empirical study of the effects of political change on the investment rate in China. The labels for different wings of the communist party, the ‘right’ and the ‘left’, are well known in China. The ‘left’ consists of strong, dogmatic adherents of socialism; they advocate the centralization of economic activities, the rapid abolishment of private ownership in the industrial sector, and the rapid transition of the agricultural sector from private ownership to collective ownership and then to state ownership. Chairman Mao is the symbol of the ‘left’. Those on the ‘right’ are more often associated with economic policies with a capitalist flavor, such as relying on market mechanisms and material incentives in the Heng-fu Zou, Socialist economic growth and political incestment cycles 153 planned sectors and allowing private plots and contract systems in agricultural production. The prominent members of this group are Liu Shaoqi and Deng Xiaoping. They were known as the capitalist representatives in the communist party during the Cultural Revolution. The power struggles between the ‘left’ and the ‘right’ have shaped the history of China in the past four decades, and their effects can be seen in every aspect of Chinese society. Our present focus is on the effects of these struggles on the investment rates. Table 1 contains relevant data for our analysis; the power over economic planning is represented by a dummy variable; a value of zero means that the ‘right’ controls the planning board, while a value of one means that the ‘left’ controls the planning. The term ‘productive investment’ is special to Marxist and socialist economics, and needs some explanation. It refers to investment that directly serves material production or meets the needs of material production. Its counterpart is non-productive investment, which includes investment on public utilities, housing, public health, social welfare and education. Since non-productive investment is more or less related to people’s consumption, especially durable and public consumption, the percentage of productive investment in total investment outlay is a more accurate measure of accumulation. The fluctuations in investment rate and in productive investment rate are depicted in fig. 3. Fig. 3 Year d During the period 1952-1957, economic decision making was more under the control of the ‘right’ as Mao did not totally dominate the planning processes and political life was more democratic in the communist party than it subsequently became. The investment rates were in the range of 21.4% and 25.5%. The average share of productive investment in total investment was 55.3%. Both production and consumption went up rapidly in those six years, and those investment rates were later regarded as the optimal or normal ones. 154 H~vI~-~u Zou, Sociulist rconomic growfh und politicul incestmenr cycles Table 1 The data. Investment Consumption Productive Power regimes rate as oA rate as 7; investment as y0 of as a dummy Year of GNP of GNP total investment variable 1952 1953 1954 I955 1956 1957 1958 1959 1960 1961 I962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 I974 1975 I976 1977 1978 1979 1980 1981 1982 1983 I984 1985 21.4 78.6 23. I 76.9 25.5 74.5 22.9 77. I 24.4 75.6 24.9 75. I 33.9 66. I 43.8 56.2 39.6 60.4 19.2 80.8 10.4 89.6 30.6 11.5 21.3 22.2 27. I 21.1 23.2 32.9 34. I 31.6 32.9 32.3 33.9 30.9 32.3 36.5 34.6 31.5 28.3 28.8 29.7 31.2 33.7 69.4 78.7 82.5 78.9 76.8 77.8 67. I 65.9 72.9 68.4 67.1 67.7 66.1 69. I 67.7 63.5 65.4 68.5 71.7 71.2 70.3 68.8 66.3 50.8 49.4 50.3 51.4 71.0 58.8 82.3 86.9 97.4 18.5 63.6 63.9 60.8 70.7 68.9 82.2 78.5 76.2 71.8 76.2 78.7 13.7 75.4 73.4 79.3 70.9 71.8 64.1 54.5 46.8 46.4 52.5 58.6 57.7 I I I Source: Statistical Year Book of China, 1986. The year 1957 was a turning point in the political climate of China. The anti-‘rightist’ movement launched by Mao had a fundamental effect on the political and economic life of China. With the beginning of the ‘Great Leap Forward’ in 1958 and of the movement of people’s communes some time later, economic planning was dominated by the ideology of the ‘left’. The investment rate jumped up to 33.9%, 43.8% and 39.6% in 1958, 1959 and 1960 respectively. The average share of the productive investment for those three years was up to 88.3%. High investment rates and natural calamities during this period caused poverty, hunger and death all over China. Facing economic disaster, Mao retreated from economic planning and even admitted to having made a mistake in 1962. The power over planning shifted back into the hands of the ‘right’, and the Chinese economy entered a period of adjustments. Heng-fu Zou. Socialist economic growth and political investment cycles 155 From 1963 to 1965, the average investment rate was set at 22.7% and productive investment only accounted for 64% of total investment. President Liu Shaoqi even introduced many programs in agricultural production which later under Deng Xiaoping became important ingredients of economic reforms. The reign of the ‘right’ was short-lived. The next 10 years, 1966-1976, were those of the ‘Great Cultural Revolution’, and Mao and the ‘left’ were in absolute control of economic planning. Except for the years 1967-1969 when the economy was almost paralyzed by destructive political turmoil, the investment rate on the average was above 31’4, and 75% of which was for productive purposes. After Mao’s death, his chosen successor, Hua Guofang, continued the expansion drive of the ‘left’, and even started a ‘Foreign Leap Forward’ from 1977 to 1979, importing large amounts of foreign technology. The average investment rate was above 34%. In 1979, political power began to shift back to the ‘right’, and Deng Xiaoping and the ‘reformers’ came to the forefront, though the ideology of the ‘left’ still deeply affected planning and the effects of the ‘Foreign Leap Forward’ still kept the investment rate at a high level of 34.6%. But in that year, the proportion of productive investment in the total investment began to decrease. From 1981 to 1985, the average investment rate went down to 30.3x, and the average share of productive investment was at an historical low level - 52.4%. That is to say, a large proportion of investment was diverted to the improvement of residential conditions, service sectors, public health and education. So we can see that the investment rates and political changes are closely related in China. It is convenient to test how much fluctuations in investment rates and productive investment rates can be explained by the political changes in China’s socialist history. Here we report results of a few regression equations: I,=11.23+4.060,+0.551,_,, R2=0.50,D W=1.13, (39) (2.84) (2.05) (3.36) PI,=31.25+12.360,+0.45PZ,_,, R2=0.73,D W=1.93, (4.47) (5.17) (4.35) (40) where I, is the investment rate at time t, D, is the dummy variable of political change (a value of one refers to the ‘left’ regime and a value of zero the ‘right’ regime), and PI, is the share of productive investment in total investment. Eqs. (39) and (40) both show that political changes have substantial effects on the investment rate and the productive investment rate. The positive 156 Heng-fu Zou. Socialist economic growth and political incestment cycles coefficients say that a ‘left’ regime causes high rates, and a ‘right’ regime leads to low rates. As investment projects often last for a few years, the lagged variables also help to explain the rates. If we exclude the politically abnormal years 1967-1969, then political changes alone can explain about half of the variations in the investment rates: I, = 25.36 + 8.90,, R2=0.43, DW=0.74, (41) (18.17) (5.19) PI,=58.32+ 19.120,, R2=0.57, DW=0.93. (42) (28.14) (6.51) Two points should be added to our analysis of political investment cycles in China. First, the ‘right’ and the ‘left’ are both expansionists by definition because they are both social planners, the difference being only a matter of degree. Throughout time, there is a tendency for social planners to increase the investment rates; this can be seen from regressing the investment rates against a time variable: I,= 5.07 +4.220,+0.481,1_+ O.l14TIME, (43) (1.02) (2.21) (2.56) (1.135) R2=0.52. DW= 1.13. Second, political factors as an exogenous variable cannot fully explain all fluctuations in investment rates; a theory espoused by Bauer (1978) and Kornai (1980, 1988), which we may call a model of endogenous investment cycles, has developed to explain investment cycles under the same political regime. The focus of this theory is to relate the investment rate to the intensity of shortage in the economy. Social planners will reduce the investment rate when shortage intensity is high, and raise the investment rate when shortage intensity is low. For a model developed in this line, see Zou (1990). 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