A class of stochastic games with infinitely many interacting agents related to Glauber dynamics on random graphs

We introduce and study a class of infinite-horizon nonzero-sum non-cooperative stochastic games with infinitely many interacting agents using ideas of statistical mechanics. First we show, in the general case of asymmetric interactions, the existence of a strategy that allows any player to eliminate losses after a finite random time. In the special case of symmetric interactions, we also prove that, as time goes to infinity, the game converges to a Nash equilibrium. Moreover, assuming that all agents adopt the same strategy, using arguments related to those leading to perfect simulation algorithms, spatial mixing and ergodicity are proved. In turn, ergodicity allows us to prove “fixation”, i.e. that players will adopt a constant strategy after a finite time. The resulting dynamics is related to zerotemperature Glauber dynamics on random graphs of possibly infinite volume.

Olympic Games as showcase

In the 1992 Barcelona Olympic Games, besides the country-versus-country typical showdown in the backdrop of Olympics, and the economic and political impulses for the host city, there was a third factor complicating the celebration: rivalry between the Catalan hosts and the Spanish state. By guiding the development of and eventual Olympic projection of national identity, Catalan and Spanish politicians hoped to create a resounding rallying point around which they could unite disparate individuals. The text is made up of: an introduction, five paragraphs on the different political perspective, conclusions, a commentary on the tallying of score and a note section with bibliographical references.

Dividends and weighted values in games with externalities

We consider cooperative environments with externalities (games in partition function form) and provide a recursive definition of dividends for each coalition and any partition of the players it belongs to. We show that with this definition and equal sharing of these dividends the averaged sum of dividends for each player, over all the coalitions that contain the player, coincides with the corresponding average value of the player. We then construct weighted Shapley values by departing from equal division of dividends and finally, for each such value, provide a bidding mechanism implementing it.

Testing the TASP: An Experimental Investigation of Learning in Games with Unstable Equilibria

We report experiments designed to test between Nash equilibria that are stable and unstable under learning. The “TASP” (Time Average of the Shapley Polygon) gives a precise prediction about what happens when there is divergence from equilibrium under fictitious play like learning processes. We use two 4 x 4 games each with a unique mixed Nash equilibrium; one is stable and one is unstable under learning. Both games are versions of Rock-Paper-Scissors with the addition of a fourth strategy, Dumb. Nash equilibrium places a weight of 1/2 on Dumb in both games, but the TASP places no weight on Dumb when the equilibrium is unstable. We also vary the level of monetary payoffs with higher payoffs predicted to increase instability. We find that the high payoff unstable treatment differs from the others. Frequency of Dumb is lower and play is further from Nash than in the other treatments. That is, we find support for the comparative statics prediction of learning theory, although the frequency of Dumb is substantially greater than zero in the unstable treatments.

The economy of the Beijing Olympic Games: An analysis of first impacts and prospects

This paper was presented at the International Sport Business Symposium, held by the Capital University of Economics and Business in Beijing, in 2008. The speakers, Ferran Brunet, as a professor at the Autonomous University of Barcelona and Zuo Xinwen, as a member of Beijing Development and Reform Commission, both set out to analyze changes in the economic and social development of the city which were undertaken with the aim to celebrate the 2008 Olympic Games. They discuss aspects as a transformation in the mode of economic growth, resources of the Organizing Committee, investments related to the Games, transport and communications, industries, the balance of urban and rural development, urban construction and management service and operations into a well-off society.

Native language, spoken language, translation and trade

We construct new series for common native language and common spoken language for 195 countries, which we use together with series for common official language and linguis-tic proximity in order to draw inferences about (1) the aggregate impact of all linguistic factors on bilateral trade, (2) whether the linguistic influences come from ethnicity and trust or ease of communication, and (3) in so far they come from ease of communication, to what extent trans-lation and interpreters play a role. The results show that the impact of linguistic factors, all together, is at least twice as great as the usual dummy variable for common language, resting on official language, would say. In addition, ease of communication is far more important than ethnicity and trust. Further, so far as ease of communication is at work, translation and inter-preters are extremely important. Finally, ethnicity and trust come into play largely because of immigrants and their influence is otherwise difficult to detect.

Native language, spoken language, translation and trade

We construct new series for common native language and common spoken language for 195 countries, which we use together with series for common official language and linguis-tic proximity in order to draw inferences about (1) the aggregate impact of all linguistic factors on bilateral trade, (2) whether the linguistic influences come from ethnicity and trust or ease of communication, and (3) in so far they come from ease of communication, to what extent trans-lation and interpreters play a role. The results show that the impact of linguistic factors, all together, is at least twice as great as the usual dummy variable for common language, resting on official language, would say. In addition, ease of communication is far more important than ethnicity and trust. Further, so far as ease of communication is at work, translation and inter-preters are extremely important. Finally, ethnicity and trust come into play largely because of immigrants and their influence is otherwise difficult to detect.

A Framework for Analyzing Language and Welfare

The paper proposes a general model that will encompass trade and social benefits of a common language, a preference for a variety of languages, the fundamental role of translators, an emotional attachment to maternal language, and the threat that globalization poses to the vast majority of languages. With respect to people’s emotional attachment, the model considers minorities to suffer losses from the subordinate status of their language. In addition, the model treats the threat to minority language as coming from the failure of the parents in the minority to transmit their maternal language (durably) to their children. Some familiar results occur. In particular, we encounter the usual social inefficiencies of decentralized solutions to language learning when the sole benefits of the learning are communicative benefits (though translation intervenes). However, these social inefficiencies assume a totally different air when the con-sumer gains of variety are brought in. One fundamental aim of the paper is to bring together contributions to the economics of language from labor economics, network externalities and international trade that are typically treated separately.

A Framework for Analyzing Language and Welfare

The paper proposes a general model that will encompass trade and social benefits of a common language, a preference for a variety of languages, the fundamental role of translators, an emo-tional attachment to maternal language, and the threat that globalization poses to the vast ma-jority of languages. With respect to people’s emotional attachment, the model considers minor-ities to suffer losses from the subordinate status of their language. In addition, the model treats the threat to minority language as coming from the failure of the parents in the minority to transmit their maternal language (durably) to their children. Some familiar results occur. In particular, we encounter the usual social inefficiencies of decentralized solutions to language learning when the sole benefits of the learning are communicative benefits (though translation intervenes). However, these social inefficiencies assume a totally different air when the con-sumer gains of variety are brought in. One fundamental aim of the paper is to bring together contributions to the economics of language from labor economics, network externalities and international trade that are typically treated separately.

Dominance Solvable Games with Multiple Payoff Criteria.

Two logically distinct and permissive extensions of iterative weak dominance are introduced for games with possibly vector-valued payoffs. The first, iterative partial dominance, builds on an easy-to check condition but may lead to solutions that do not include any (generalized) Nash equilibria. However, the second and intuitively more demanding extension, iterative essential dominance, is shown to be an equilibrium refinement. The latter result includes Moulin’s (1979) classic theorem as a special case when all players’ payoffs are real-valued. Therefore, essential dominance solvability can be a useful solution concept for making sharper predictions in multicriteria games that feature a plethora of equilibria.

English as a Global Language

How far has English already spread? How much further can we expect it to go? In response to the first question, this chapter tries to identify the areas of life where English already serves as a lingua franca in the world (more or less) and those where the language faces sharp competition and does not threaten to marginalize the other major languages. The former areas of life are international safety, the internal business of international organizations, internal communication within the international news industry, international sports and science. The latter areas are the press, television, the internet, publishing and international trade. As to the second question, about the future prospects of English, the chapter argues that the advance of English will depend heavily on the motives to learn the other major languages in the world as well. Based on the empirical evidence, the same model applies to the incentives to learn English and these other languages. On the important topic of welfare, the cultural market is the single one where it is arguable that the progress of English has gone too far. English dominance in the song, the cinema and the best-seller is indeed extraordinary and difficult to reconcile with the evidence popular attachments to home languages, which is otherwise strong and apparent.