Experimental Investigation of a Cyclic Duopoly Game

The notion of a cyclic game has been introduced by Selten and Wooders (2001). They illustrate the concept by the analysis of a cyclic  duopoly game. The experiments reported concern this game. The game was played by eleven matching groups of six players each. The observed choice fre- quencies were compared with the predictions of Nash equilibrium, impulse balance equilibrium (Selten, Abbink and Cox (2005), Selten and Chmura (2007)) and two-sample equilbrium (Osborne and Rubinstein(1998)). Pair- wise comparisons by the Wilcoxon Signed-rank test show that impulse balance equilibrium as well as two-sample equilibrium have a significantly better predictive success than Nash equilibrium. The difference between impulse balance equilibrium and two-sample equilibrium is not   significant.In each matching group three players acted only in uneven periods and   the other three only in even periods. This game has two pure strategy equi- libria in which both types of players behave differently. The data exhibit a weak but significant tendency in the direction of coordination at a   pure strategy equilibrium.cyclic game duopoly experiment, impulse balance equilibrium, two-sample equilibrium

Learning in experimental 2 x 2 games

In this paper, we introduce two new learning models: impulse-matching learning and action-sampling learning. These two models together with the models of self-tuning EWA and reinforcement learning are applied to 12 different 2 x 2 games and their results are compared with the results from experimental data. We test whether the models are capable of replicating the aggregate distribution of behavior, as well as correctly predicting individuals' round-by-round behavior. Our results are two-fold: while the simulations with impulse-matching and action-sampling learning successfully replicate the experimental data on the aggregate level, individual behavior is best described by self-tuning EWA. Nevertheless, impulse-matching learning has the second highest score for the individual data. In addition, only self-tuning EWA and impulse-matching learning lead to better round-by-round predictions than the aggregate frequencies, which means they adjust their predictions correctly over time.learning, 2 x 2 games, Experimental data

Nominalist Heuristics and Economic Theory

This paper introduces a new theoretic entity, a nominalist heuristic, defined as a focus on prominent numbers, indices or ratios. Abstractions used in the evaluation stage of decision making typically involve nominalist heuristics that are incompatible with expected utility theory which excludes the evaluation stage, and are also incompatible with prospect theory which assumes that, while the evaluation procedure can involve systematic mistakes, the overall decision situation is nevertheless sufficiently simple: 1) for economists and psychologists to identify what is a mistake, and 2) to be compatible with maximisation. But in the typical complex situation giving rise to nominalist heuristics neither 1) nor 2) hold, and therefore what is required is a fundamentally different class of models that allow for the progressive anticipated changes in knowledge ahead faced under risk and uncertainty, namely models under the umbrella of SKAT, the Stages of Knowledge Ahead Theory. A sequel paper. Pope et al 2009b, shows field and laboratory evidence of heuristics in the form of prominent numbers entering exchange rate determination.nominalism, money illusion, heuristic, unpredictability, experiment, SKAT the Stages of Knowledge Ahead Theory, prominent numbers, prominent indices, prominent ratios, equality, historical benchmarks, complexity, decision costs, evaluation

Learning in experimental 2×2 games

In this paper we introduce four new learning models: impulse balance learning, impulse matching learning, action-sampling learning, and payoff-sampling learning. With this models and together with the models of self- tuning EWA learning and reinforcement learning, we conduct simulations over 12 different 2×2 games and compare the results with experimental data obtained by Selten & Chmura (2008). Our results are two-fold: While the simulations, especially those with action-sampling learning and impulse matching learning successfully replicate the experimental data on the aggregate, they fail in describing the individual behavior. A simple inertia rule beats the learning models in describing individuals behavior.Learning, Action-sampling, Payo?-sampling, Impulse balance, Impulse matching, Reinforcement, self-tuning EWA, 2×2 games, Experimental data

Cost-effective Design of Ringwall Storage Hybrid Power Plants: A Real Options Analysis

AbstractWe study the economic viability and optimal sizing and siting of a hybrid plant that combines a ringwall hydro storage system with wind and solar power plants (ringwall storage hybrid power plant, RSHPP). A real options model is introduced to analyze the economics of an onshore RSHPP, an in particular of the varying storage volume in light of the stochastic character of wind and solar power, as well as the optimal investment timing under uncertainty. In fact, many uncertainties arise in such a project. Energy production is determined by the stochastic character of wind and solar power, and affects the optimal size of the storage device. Monte Carlo simulation is performed to analyze the following sources of uncertainty: (i) wind intensity and solar irradiation; (ii) future electricity price; and (iii) investment costs. The results yield the optimal size of the storage device; the energy market on which the operator should sell the electricity generated; numerical examples for two different RSHPP application scenarios; and a real options model for analyzing the opportunity to defer the project investment and thus to exploit the value of waiting

On the Complexity of Enumerating the Answers to Well-designed Pattern Trees

Well-designed pattern trees (wdPTs) have been introduced as an extension of conjunctive queries to allow for partial matching - analogously to the OPTIONAL operator of the semantic web query language SPARQL. Several computational problems of wdPTs have been studied in recent years, such as the evaluation problem in various settings, the counting problem, as well as static analysis tasks including the containment and equivalence problems. Also restrictions needed to achieve tractability of these tasks have been proposed. In contrast, the problem of enumerating the answers to a wdPT has been largely ignored so far. In this work, we embark on a systematic study of the complexity of the enumeration problem of wdPTs. As our main result, we identify several tractable and intractable cases of this problem both from a classical complexity point of view and from a parameterized complexity point of view

Prominent Numbers, Indices and Ratios in Exchange Rate Determination and Financial Crashes: in Economists’ Models, in the Field and in the Laboratory

The prior paper in this sequel, Pope (2009) introduced the concept of a nominalist heuristic, defined as a focus on prominent numbers, indices or ratios. In this paper the concept is used to show three things in how scientists and practitioners analyse and evaluate to decide (conclude). First, in constructing theories such as purchasing power and interest parity to predict exchange rates and to advocate floating exchange rates, economists unwittingly employ nominalist heuristics. Second, nominalist heuristics have influenced actual exchange rates through the centuries, and this finding is replicated in the laboratory. Third, nominalist heuristics are incompatible with expected utility theory which excludes the evaluation stage, and are also incompatible with prospect theory which assumes that, while the evaluation stage can involve systematic mistakes, the overall decision situation is ultra simple. It is so simple that: a) economists and psychologists can mechanically model and identify what is a mistake, and b) decision makers can maximise. However, contrary to prospect theory, in the typical complex situation, neither a) nor b) holds. Assuming that a) and b) hold has resulted in the 1988 crisis from applying the Black Scholes formulae to forward exchange rates and contributed to sequel financial crises including that of 2007-2009. What is required is a fundamentally different class of models that allow for the progressive anticipated changes in knowledge ahead faced under risk and uncertainty, namely models under the umbrella of SKAT, the Stages of Knowledge Ahead Theory. The paper’s findings support a single world currency rather than variable unpredictable exchange rates subjected to the vagaries of how prominent numbers, ratios and indices influence events via the models of scientists and practitioners.nominalism, money illusion, heuristic, unpredictability, experiment, SKAT the Stages of Knowledge Ahead Theory, prominent numbers, prominent indices, prominent ratios, transparent policy, nominal equality, historical benchmarks, complexity, decision costs, evaluation, maximisation, Black Scholes, Lehmann Brothers, sub-prime crisis, central bank swaps

Experimental Evidence on the Benefits of Eliminating Exchange Rate Uncertainties and Why Expected Utility Theory causes Economists to Miss Them

Conclusions favourable to flexible exchange rates typically accord with expected utility theory in ignoring the costs that exchange rate uncertainty generates for governments, central banks, firms and unions in: (i) choosing among available acts; and (ii) existing until learning the outcome of the chosen act. Allowing for these costs involves the stages of knowledge ahead framework, Pope (1983, 1995, 2005). A laboratory experiment suggests that (i) and (ii) together outweigh the advantages of having a flexible exchange rate as an additional instrument for managing a country’s employment, interest rate, price level and international competitiveness goalsexperiment

Managed Floats to Damp Shocks like 1982-5 and 2006-9: Field and Laboratory Evidence for Chinese Interest in a Single World Currency

This paper’s field evidence is: (1) many official sectors rapidly forget the damage of the 1982-85 exchange rate liquidity crisis and reverted to what caused that crisis, namely a closed economy clean floats perspective; and (2) the 2006-2008/9 exchange rate liquidity shock would have been more drastic but for central bank currency swaps. This evidence is bolstered by a laboratory experiment that incorporates more aspects of real world complexity and more different sorts of official and private sector agents than are feasible in econometric or algebraic investigations and employs a new central bank cooperation-conflict model of exchange rate determination , and is within an umbrella theory of Pope, namely SKAT, the Stages of Knowledge Ahead Theory. SKAT allows for risk effects from stages omitted in normal models, including those from (a) difficulties of agents in evaluating alternatives in a complex environment in which the assumed maximization of expected utility is impossible; and (b) preference for safety and reliability is not trivialized. Our joint field plus laboratory evidence indicates that official sectors should maintain an international exchange rate oriented perspective, or better yet, a single world currency as recommended by Zhou Xiaochuan, head of the People’s Bank of China. To avoid rapid forgetting of havoc from isolationist clean floats and the value of stable exchange rates, a new syllabus, as under the SKAT umbrella, is fundamental in the education of official sector members in order to furnish them with a coherent alternative intellectual framework to current university education that excludes liquidity crises.clean float, managed float, IMF imposed conditions, exchange rate regime, exchange rate volatility, experiment, SKAT the Stages of Knowledge Ahead Theory, monetary policy, transparent policy, exchange rate shocks, central bank cooperation, central bank conflict