{"id":7994,"date":"2023-02-05T00:25:09","date_gmt":"2023-02-05T00:25:09","guid":{"rendered":"http:\/\/euseguros.pt\/?p=7994"},"modified":"2023-02-05T00:32:10","modified_gmt":"2023-02-05T00:32:10","slug":"main-economics-theorems","status":"publish","type":"post","link":"https:\/\/euseguros.pt\/en\/main-economics-theorems\/","title":{"rendered":"Main Economics Theorems"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;4.4.3&#8243;][et_pb_row _builder_version=&#8221;4.4.3&#8243;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.4.3&#8243;][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<h3><strong>Advanced Economics Theorems<br \/> <\/strong><\/h3>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.4.3&#8243; hover_enabled=&#8221;0&#8243;]<\/p>\n<p><strong>Arrow&#8217;s Impossibility Theorem:<\/strong> states that it is impossible to design a fair and efficient voting system that satisfies certain basic criteria.<\/p>\n<p><strong>Aumann&#8217;s Agreement Theorem:<\/strong> states that under certain conditions, two Bayesian rational agents with common prior beliefs cannot agree to disagree.<\/p>\n<p><strong>Bishop\u2013Cannings theorem:<\/strong> states that any uncorrelated random process can be modeled as a moving average of a white noise process.<\/p>\n<p><strong>Bondareva\u2013Shapley theorem:<\/strong> characterizes the core of a cooperative game, which is the set of feasible payoffs that cannot be improved upon by a subset of the players.<\/p>\n<p><strong>Coase Theorem:<\/strong> states that in a situation where private property rights are well-defined and transaction costs are low, the allocation of resources will be efficient regardless of the initial distribution of property rights.<\/p>\n<p><strong>Debreu Theorems:<\/strong> several theorems in mathematical economics, named after Gerard Debreu, that provide a rigorous foundation for the theory of general equilibrium.<\/p>\n<p><strong>Dorfman\u2013Steiner theorem:<\/strong> states that in a cooperative game, the optimal solution is to divide the total surplus among the players in proportion to their marginal contributions to the game.<\/p>\n<p><strong>Duggan\u2013Schwartz theorem:<\/strong> states that under certain conditions, market-clearing prices and a welfare-maximizing allocation will coincide.<\/p>\n<p><strong>Edgeworth&#8217;s Limit Theorem:<\/strong> states that in an exchange economy, the limit of the sequence of Walrasian equilibria approaches Pareto efficiency.<\/p>\n<p><strong>Efficient Envy-Free Division:<\/strong> refers to a way of dividing a resource among multiple individuals in a fair and efficient manner, such that no one envies any other person&#8217;s share.<\/p>\n<p><strong>Envelope Theorem:<\/strong> states that the change in the value of an optimization problem&#8217;s objective function is equal to the change in the value of the corresponding Lagrangian multiplier.<\/p>\n<p><strong>Factor Price Equalization:<\/strong> states that in a perfectly competitive global market, the price of any factor of production (such as labor or capital) will equalize across countries.<\/p>\n<p><strong>Fisher Separation Theorem:<\/strong> states that a firm can separate ownership from management by offering shares of stock to investors.<\/p>\n<p><strong>Frisch\u2013Waugh\u2013Lovell theorem:<\/strong> states that under certain conditions, the coefficients in a multiple regression model can be obtained by regressing the dependent variable on the residuals from a previous regression.<\/p>\n<p><strong>Fundamental Theorems of Welfare Economics:<\/strong> provide conditions under which a market economy will lead to a Pareto efficient allocation of resources, and conditions under which government intervention can improve upon the market allocation.<\/p>\n<p><strong>Gibbard\u2013Satterthwaite theorem:<\/strong> states that in a voting system, it is impossible to design a system that is both strategy-proof and Pareto efficient.<\/p>\n<p><strong>Gibbard&#8217;s Theorem:<\/strong> states that in a voting system, it is impossible to design a system that is both strategy-proof and allows for more than three alternatives.<\/p>\n<p><strong>Heckscher\u2013Ohlin theorem:<\/strong> states that a country will export the goods that it can produce most efficiently, and import the goods that it produces less efficiently.<\/p>\n<p><strong>Henry George Theorem:<\/strong> states that in a model of economic growth, the tax revenue generated by land will eventually equal the rental value of the land.<\/p>\n<p><strong>Holmstr\u00f6m&#8217;s Theorem:<\/strong> states that in a principal-agent problem, the optimal contract will make the agent&#8217;s effort dependent on their own performance, but not on their ability or the performance of other agents.<\/p>\n<p><strong>Intensity of Preference: r<\/strong>efers to the degree of preference or attachment an individual has for a certain good or outcome.<\/p>\n<p><strong>Kuhn&#8217;s Theorem:<\/strong> states that in a non-cooperative game, any solution that is obtained through a sequence of best responses will be a Nash equilibrium.<\/p>\n<p><strong>Lerner Symmetry Theorem:<\/strong> states that in a market with perfectly competitive firms, the market demand curve is identical to the average cost curve.<\/p>\n<p><strong>Liberal Paradox:<\/strong> states that in a liberal democracy, individual freedom and equality can be in conflict with one another.<\/p>\n<p><strong>Modigliani\u2013Miller theorem:<\/strong> states that under certain conditions, the total market value of a firm is independent of its financing structure (debt versus equity).<\/p>\n<p><strong>Moving Equilibrium Theorem:<\/strong> states that in a market with prices that are determined endogenously, a change in demand will cause the market to move to a new equilibrium.<\/p>\n<p><strong>Mutual Fund Separation Theorem:<\/strong> states that in a market with well-diversified investors, the market portfolio will be efficient and the prices of individual assets will reflect their risk.<\/p>\n<p><strong>Nakamura Number:<\/strong> refers to the maximum number of players in a cooperative game that can form a coalition.<\/p>\n<p><strong>No-trade Theorem:<\/strong> states that under certain conditions, there will be no trade between two countries, even if they have different endowments and production technologies.<\/p>\n<p><strong>Okishio&#8217;s Theorem:<\/strong> states that in a competitive market, an increase in productivity will lead to an increase in real wages.<\/p>\n<p><strong>Roy&#8217;s Identity:<\/strong> states that the wage rate and the reservation wage of a worker are equal.<\/p>\n<p><strong>Rybczynski theorem:<\/strong> states that an increase in the endowment of one factor of production will lead to an increase in the output of the good that uses that factor intensively.<\/p>\n<p><strong>Shephard&#8217;s Lemma:<\/strong> states that the optimal production plan for a firm can be obtained by equating the marginal rate of substitution between inputs with the relative prices of inputs.<\/p>\n<p><strong>Sonnenschein\u2013Mantel\u2013Debreu theorem:<\/strong> states that in a market with a large number of agents, the aggregate demand function will be smooth, regardless of the distribution of individual demands.<\/p>\n<p><strong>Stolper\u2013Samuelson theorem:<\/strong> states that an increase in the price of a good will raise the real income of the factor of production that is intensively used in the production of that good.<\/p>\n<p><strong>Topkis&#8217;s Theorem:<\/strong> states that in a partially ordered set, the highest (or lowest) element of the set that is dominated (or dominating) by a given element can be found by comparing the element to the minimal (or maximal) elements of the set.<\/p>\n<p><strong>Uzawa&#8217;s Theorem:<\/strong> states that under certain conditions, a change in the endowment of one factor of production will have a positive effect on the output of all goods.<\/p>\n<p><strong>Weller&#8217;s Theorem:<\/strong> states that in a cooperative game, the value of the game is equal to the sum of the values of its subgames.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;4.4.3&#8243;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.4.3&#8243;][et_pb_signup provider=&#8221;aweber&#8221; aweber_list=&#8221;Grupo Marques Seguros|6232948&#8243; success_action=&#8221;redirect&#8221; success_redirect_url=&#8221;http:\/\/euseguros.pt\/novo-subscritor\/&#8221; title=&#8221;Subscribe to our newsletter&#8221; button_text=&#8221;SUBMIT&#8221; description=&#8221;<\/p>\n<p>Get important specialized information to help your business<\/p>\n<p>&#8221; _builder_version=&#8221;4.4.3&#8243; header_level=&#8221;h1&#8243; header_font=&#8221;||||||||&#8221; 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