In this paper, we discuss guidelines for a reward design problem that defines when and what amount of reward should be given to the agent/s, within the context of reinforcement learning approach. We would like to take keepaway soccer as a standard task of the multiagent domain which requires skilled teamwork. The difficulties of designing reward for this task are due to its features as follows: i) since it belongs to the continuing task which has no explicit goal to achieve, (...) it is hard to tell when reward should be given to the agent/s. ii) since it is a multiagent cooperative task, it is hard to decide what is a fair share of reward for each agent's contribution to achieve the goal. Through some experiments, we show that the reward design have a major effect on the agent's behavior, and introduce the successful reward function that makes agents perform keepaway better and more interesting than the conventional one does. Finally, we explore the relationship between `reward design' and `acquired behaviors' from the viewpoint of teamwork. (shrink)

By RCA 0 , we denote a subsystem of second order arithmetic based on Δ0 1 comprehension and Δ0 1 induction. We show within this system that the real number system R satisfies all the theorems (possibly with non-standard length) of the theory of real closed fields under an appropriate truth definition. This enables us to develop linear algebra and polynomial ring theory over real and complex numbers, so that we particularly obtain Hilbert’s Nullstellensatz in RCA 0.

In this paper, we show within ${\mathsf{RCA}_0}$ that both the Jordan curve theorem and the Schönflies theorem are equivalent to weak König’s lemma. Within ${\mathsf {WKL}_0}$ , we prove the Jordan curve theorem using an argument of non-standard analysis based on the fact that every countable non-standard model of ${\mathsf {WKL}_0}$ has a proper initial part that is isomorphic to itself (Tanaka in Math Logic Q 43:396–400, 1997).

The emotions that people experience in day-to-day social situations are often mixed emotions. Although autobiographical recall is useful as an emotion induction procedure, it often involves recalling memories associated with a specific discrete emotion. However, real-life emotions occur freely and spontaneously, without such constraints. To understand real-life emotions, the present study examined characteristics of emotions that were elicited by recalling “stressful interpersonal events in daily life” without the targeted evocation of a specific discrete emotion. Assuming generation of mixed and complex (...) emotions, emotional groups with relatively strong correlation of multiple emotions according to surprise, fear, anger, disgust, sadness, and happiness were expected. Seventy-two university students participated in the study. In the emotion induction procedure, participants freely recalled memories as per the instructions on a monitor, and then responded silently to a series of questions concerning any one recalled incident. Assessments of emotional states using emotion scales and another item indicated that validated emotional changes had occurred during the task. Inter-correlations between six emotions demonstrated an emotional group consisting of disgust and anger, which frequently occur as negative interpersonal feelings, and that of fear and sadness. This indicated generation of mixed and complex emotions as experienced in social life. Future studies concerning relationships between these emotions and other factors, including neurophysiological responses, may facilitate further understanding about relationships between mental and physiological processes occurring in daily life. (shrink)

In this paper, we discuss uniform versions of some axioms of second order arithmetic in the context of higher order arithmetic. We prove that uniform versions of weak weak König's lemma WWKL and Σ01 separation are equivalent to over a suitable base theory of higher order arithmetic, where is the assertion that there exists Φ2 such that Φf1 = 0 if and only if ∃x0 for all f. We also prove that uniform versions of some well-known theorems are equivalent to (...) or the axiom of the existence of the Suslin operator. (shrink)

In Japan, although many people are interested in corporate governance and business ethics, there is little consensus on what good corporate governance entails. The Japanese Commercial Code (revised in 2003) enables Japanese companies to introduce a board committee system and abolish the company auditor system. After the recent exposure of various corporate malpractices, many Japanese companies have started institutionalizing business ethics in their organizations. Nevertheless, ethical issues such as death from overwork (karoshi), harassment at work, illegal collusion (dangou), and defrauding (...) consumers and governments still remain prominent. (shrink)

This paper deals with a proof theory for a theory T22 of recursively Mahlo ordinals in the form of Π2-reflecting on Π2-reflecting ordinals using a subsystem Od of the system O of ordinal diagrams in Arai 353). This paper is the first published one in which a proof-theoretic analysis à la Gentzen–Takeuti of recursively large ordinals is expounded.

This paper deals with a proof theory for a theory T3 of Π3-reflecting ordinals using the system O of ordinal diagrams in Arai 1375). This is a sequel to the previous one 1) in which a theory for recursively Mahlo ordinals is analyzed proof-theoretically.

How is one’s cognitive ability related to the way one responds to strategic uncertainty? We address this question by conducting a set of experiments in simple 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2 \times 2$$\end{document} dominance solvable coordination games. Our experiments involve two main treatments: one in which two human subjects interact, and another in which one human subject interacts with a computer program whose behavior is known. By making the behavior of the computer perfectly predictable, the (...) latter treatment eliminates strategic uncertainty. We find that subjects with higher cognitive ability are more sensitive to strategic uncertainty than those with lower cognitive ability. (shrink)

This paper delves into the dispute surrounding “overcoming modernity” in Japanese philosophy, which arose before and during Japan’s Pacific War (the “Greater East Asia War”) in the late 1930s and its impact on the postwar period. Nishida Kitarō’s philosophy provided the foundation for “overcoming modernity,” and the “Oriental” logic of “nothing” emerged as a counterpoint to the rationalist spirit of the West. This logic has persisted from the postwar period to the present day via postmodernism. Takeuchi Yoshimi and Hiromatsu Wataru, (...) both discussed in this paper, played a crucial role in the discussions about this issue in the postwar era. Mainly, this paper focuses on the state of philosophy in Japan during the 1970 and 1980 s, highlighting the divergence in thinking about “nothing” by examining Nakamura Yūjirō and Karatani Kōjin. Focusing on these two thinkers shows that “nothing” transformed into a diverging movement in this period. Additionally, this paper explores the intellectual continuity between the 1930 and 1960 s that paved the way for this era. Through these historical reflections, the paper sheds light on the divergence between the ideas of “nothing” relating to capitalism and those relating to life systems, which occurred in the deeper layer of the intellectual culture of this period (1970-1980 s). This divergence is generally overlooked as a resistance of the “postmodernist” or “new academism” in Japan against the modernist intellectual tides. The purpose of this paper is to offer a fresh perspective on the historical evolution of Japanese philosophy in terms of “nothing”. (shrink)

In meinem Aufsatz möchte ich die Ästhetik auf ihre Möglichkeit hin überprüfen, eine grundlegende Theorie des „Sinnlichen" innerhalb der menschlichen kulturellen Tätigkeiten zu sein. Dieses Vorhaben werde ich damit beginnen, Heideggers Kritik an der traditionellen Ästhetik zu behandeln. Dem überlieferten Ästhetikverständnis liegt nach Heidegger offenbar diesselbe vorstellend-vergegenständlichende Denkweise zugrunde, die der ganzen abendländischen Geschichte eigen ist. Doch lässt sich nach Heidegger mittels der auf dem metaphysischen Denken basierenden Ästhetik das Wesen der Kunst niemals erschöpfend behandeln, da die Kunst als das (...) Ins-Werk- Setzen der Wahrheit verstanden werden muss.Freilich nimmt Heidegger immer eine kritische Haltung gegenüber der sogenannte „Ästhetik" ein, aber man kann dadurch auch die Möglichkeit einer anderen erweiterten Ästhetik finden, die die anfängliche Wahrheitsfunktion der aisthesis als Wahr-nehmung ins Auge zu fassen versucht. Von diesem grundlegenden Standpunkt aus möchte ich mich mit einem gegenwärtigen Versuch des ästhetischen Denkens (Wolfgang Welsch) und mit einer nicht-europäischen traditionellen Ästhetik (Shüzö Kuki) beschäftigen. (shrink)

Companies have a moral responsibility to treat customers fairly. One way for companies to do so is to allow their employees to exercise reasonableness in their interactions with customers. We define reasonableness as a latitude or space that exists around expectations in the delivery of service. In this paper, we explore the concept of reasonableness from a customer’s perspective (i.e., perceived reasonableness) and the role that the morals of service personnel play in customers’ perceptions of reasonableness. First, through an open-ended (...) survey on customers’ unreasonable service experiences, we identify themes of perceived reasonableness. We also discuss the role that the morals of service personnel play within these themes. Second, in order to identify the relationships between these themes, we create a cognitive map and discuss the implications of the identified relationships. Finally, we provide directions for future research on reasonableness. (shrink)

Studies with primates in sequence production tasks reveal that chimpanzees make action plans before initiating responses and making on-line adjustments to spatially exchanged stimuli, whereas such planning isn't evident in monkeys. Although planning may rely on phylogenetically newer regions in the inferior parietal lobe – along with the frontal lobes and basal ganglia – it dates back to as far as five million years ago.

ABSTRACTThreat detection is crucial to survival. Studies using unnatural visual scene settings have shown that humans and primates are able to identify snakes more quickl...

One of our recent studies has revealed that a numerically trained chimpanzee can memorize a correct sequence of five numbers shown on a monitor. Comparative investigations with humans show very similar patterns of errors in the two species, suggesting humans and chimpanzee share homologous memory processes. Whether or not 5 is a pure capacity limit for the chimpanzee remains an empirical question.

Several studies have shown that our visual system may construct a “summary statistical representation” over groups of visual objects. Although there is a general understanding that human observers can accurately represent sets of a variety of features, many questions on how summary statistics, such as an average, are computed remain unanswered. This study investigated sampling properties of visual information used by human observers to extract two types of summary statistics of item sets, average and variance. We presented three models of (...) ideal observers to extract the summary statistics: a global sampling model without sampling noise, global sampling model with sampling noise, and limited sampling model. We compared the performance of an ideal observer of each model with that of human observers using statistical efficiency analysis. Results suggest that summary statistics of items in a set may be computed without representing individual items, which makes it possible to discard the limited sampling account. Moreover, the extraction of summary statistics may not necessarily require the representation of individual objects with focused attention when the sets of items are larger than 4. (shrink)

Hilbert proposed the epsilon substitution method as a basis for consistency proofs. Hilbert's Ansatz for finding a solving substitution for any given finite set of transfinite axioms is, starting with the null substitution S0, to correct false values step by step and thereby generate the process S0,S1,… . The problem is to show that the approximating process terminates. After Gentzen's innovation, Ackermann 162) succeeded to prove termination of the process for first order arithmetic. Inspired by G. Mints as an Ariadne's (...) thread we formulate the epsilon substitution method for the theory ID1 of non-iterated inductive definitions for disjunctions of simply universal and existential operators, and give a termination proof of the H-process based on Ackermann 162). The termination proof is based on transfinite induction up to the Howard ordinal. (shrink)

In this, journal, W. Buchholz gave an elegant proof of a characterization theorem for provably total recursive functions in the theory IDv for the v-times iterated inductive definitions . He characterizes the classes of functions by Hardy functions. In this note we will show that a slow growing analogue to the theorem can be obtained by a slight modification of Buchholz' proof.

We formulate epsilon substitution method for theories (H)α0 of absolute jump hierarchies, and give two termination proofs of the H-process: The first proof is an adaption of Mints M, Mints-Tupailo-Buchholz MTB, i.e., based on a cut-elimination of a specially devised infinitary calculus. The second one is an adaption of Ackermann Ack. Each termination proof is based on transfinite induction up to an ordinal θ(α0+ ω)0, which is best possible.

We gather the following miscellaneous results in proof theory from the attic.1. 1. A provably well-founded elementary ordering admits an elementary order preserving map.2. 2. A simple proof of an elementary bound for cut elimination in propositional calculus and its applications to separation problem in relativized bounded arithmetic below S21.3. 3. Equivalents for Bar Induction, e.g., reflection schema for ω logic.4. 4. Direct computations in an equational calculus PRE and a decidability problem for provable inequations in PRE.5. 5. Intuitionistic fixed (...) point theories which are conservative extensions of HA.6. 6. Proof theoretic strengths of classical fixed points theories.7. 7. An equivalence between transfinite induction rule and iterated reflection schema over IΣn.8. 8. Derivation lengths of finite rewrite rules reducing under lexicographic path orders and multiply recursive functions.Each section can be read separately in principle. (shrink)

Background There are several psychosocial and ethical issues surrounding the decision to be a living kidney donor. The present study aimed to determine the perceptions of psychosocial and ethical issues that living kidney donors may have, and analyze their psychological characteristics.Methods Face-to-face semi-structured interviews were conducted with 15 donors. Thematic analysis was then performed to categorize the thematic elements of the transcripts. All procedures were approved by the relevant review board.Results Four main categories were identified: Awareness of family dynamics, barriers (...) to a proper understanding, contrasting psychological effects of recipient presence in clinical practice, insufficient information explained in informed consent.Conclusion Donors felt that they took on the “role as a care giver” for the recipient and were less aware of themselves as patients. This is a new concept that has not been shown in previous studies. Donors exist within the recipient and family, and the range of their autonomy may go beyond the traditional concept of autonomy and be rooted in relational autonomy. This study suggested that medical treatment in the presence of the recipient promotes the relational autonomy of the donor. (shrink)

In this note the well-ordering principle for the derivative \ of normal functions \ on ordinals is shown to be equivalent to the existence of arbitrarily large countable coded \-models of the well-ordering principle for the function \.

In this paper we introduce a recursive notation system $O(\mu)$ of ordinals. An element of the notation system is called an ordinal diagram following G. Takeuti [25]. The system is designed for proof theoretic study of theories of recursively Mahlo universes. We show that for each $\alpha<\Omega$ in $O(\mu)$ KPM proves that the initial segment of $O(\mu)$ determined by $\alpha$ is a well ordering. Proof theoretic study for such theories will be reported in [9].