Let the initial voltages on the capacitors be represented as voltage sources in series with the capacitors and the initial currents through the inductors be represented as current sources in parallel with the inductors

Eco514 Game Theory The Trembling Hand: Normal-Form Analysis and Extensive-Form Implications Marciano Siniscalchi January 10, 2000 Introduction: Invariance In their seminal contribution, Von Neumann and Morgenstern argue that the normal form of a game contains all \strategically relevant\ information. This view, note well, does not invalidate or trivialize extensive-form analysis; rather, it leads those who embrace it to be suspicious of extensive-form solution concepts which yield different predictions in distinct

Any periodic waveform f(t)f(t) can be expressed by a Fourier series provided that (1) If it is discontinuous, there are only a finite number of discontinuous in the period T (2)It has a finite average value over the period T (3)It has a finite number of positive and negative maximums in the period T

An ideal transformer is a useful approximation of a very tightly coupled transformer in which the coefficient of coupling is almost unity and both the primary and secondary inductive reactance are extremely large in comparison with the terminating impedance

Example 2: Find the three inductance appearing in the T equivalent of the transformer shown in Fig., if L2=4H and the input inductance at A-B is 6H with C-D open-circuited, and 2H with C-D short-circuited

Example 2: (p175-12) resistor, capacitor, and voltage source=100cos300n are all in series. If the average power dissipated by the resistor is 150W and the rms capacitor voltage is 10v, determine R and C

In either case, leading or lagging, we say that sinusoids are out of phase () if phase angles equal they are said to be in phase(同相)

Eco514 Game Theory Lecture 4: Games with Payoff Uncertainty(1) Marciano Siniscalchi September 28, 1999 Introduction The vast majority of games of interest in economics, finance, political economy etc. involve some form of payoff uncertainty. A simple but interesting example is provided by auctions: an object is offered for sale, and individuals are required to submit their bids in sealed

12.1 The Nature of Autocorrelation 1. Definition (1) CLRM assumption: No autocorrelation exist in dishurbances ui; E(iμi)=0 Autocorrelation means: E(μiμ)≠0 (2) Autocorrelation is usually associated with time series data, but it can also occur in cross-sectional data, which is called spatial correlation

Eco514 Game Theory Lecture 12: Repeated Games(1) Marciano Siniscalchi October 26, 1999 Introduction [By and large, I will follow OR, Chap. 8, so I will keep these notes to a minimum.] The theory of repeated games is double-edged sword. On one hand, it indicates how payoff profiles that are not consistent with Nash equilibrium in a simultaneous-move game might be achieved when the latter is played repeatedly, in a manner consistent with Nash or